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Article
Physics, Multidisciplinary
Gaopei Pan et al.
Summary: The dynamic and thermodynamic properties of correlated flat-band systems are investigated using momentum-space quantum Monte Carlo and exact diagonalization methods. It is found that the transition from the interaction-driven quantum anomalous Hall (QAH) insulator to the metallic state occurs at a much lower temperature compared to the zero-temperature single-particle gap generated by the long-range Coulomb interaction. This low transition temperature is attributed to the proliferation of excitonic particle-hole excitations, which restores the broken time-reversal symmetry and leads to an enhancement in charge compressibility. Future experiments are proposed to verify these generic thermodynamic characteristics.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Rhine Samajdar et al.
Summary: Strongly interacting arrays of Rydberg atoms provide versatile platforms for exploring exotic many-body phases and dynamics of correlated quantum systems. Motivated by recent experimental advances, we show that the combination of Rydberg interactions and appropriate lattice geometries naturally leads to emergent Z(2) gauge theories endowed with matter fields. We also discuss the natures of the fractionalized excitations of these Z(2) spin liquid states using both fermionic and bosonic parton theories and illustrate their rich interplay with proximate solid phases.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Zheng Yan et al.
Summary: We perform large-scale quantum Monte Carlo simulations on a realistic Hamiltonian of kagome-lattice Rydberg atom arrays and analyze their static and dynamic properties. We find emergent glassy behavior in a region of parameter space between two valence bond solid phases. The extent and phase transitions of this glassy phase as well as its slow time dynamics and experimental considerations for its detection are discussed. Our proposal opens up a new route to studying real-time glassy phenomena and highlights the potential for quantum simulation of distinct phases of quantum matter.
PHYSICAL REVIEW LETTERS
(2023)
Article
Multidisciplinary Sciences
Zheng Yan et al.
Summary: Based on the path integral formulation of the reduced density matrix, the authors develop a scheme to extract low-lying entanglement spectrum from quantum Monte Carlo simulations. The method is tested on the Heisenberg spin ladder and supports the conjecture on the entanglement spectrum of topological phase. Furthermore, the authors explain the conjecture via the wormhole effect and extend it to systems beyond gapped topological phases.
NATURE COMMUNICATIONS
(2023)
Article
Physics, Multidisciplinary
Zi Hong Liu et al.
Summary: The fermion disorder operator reveals the entanglement information at quantum critical points, and its scaling behavior varies in different systems. Continuous symmetries can emerge in certain cases.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Xu Zhang et al.
Summary: We demonstrate that quantum Monte Carlo (QMC) simulations can be used to accurately simulate magic-angle twisted bilayer graphene (TBG) and obtain a precise phase diagram and dynamical properties. The simulations reveal a thermodynamic transition separating the metallic state and a C = 1 correlated Chern insulator-topological Mott insulator (TMI) at the chiral limit and filling v = 1, as well as a pseudogap spectrum slightly above the transition temperature. These results are consistent with recent experimental findings in nonaligned TBG devices.
Article
Materials Science, Multidisciplinary
Xiaoxue Ran et al.
Summary: In this study, by using the sweeping cluster quantum Monte Carlo method, we reveal the complete ground state phase diagram of the fully packed quantum loop model on the square lattice. We find the emergence of a resonating plaquette phase between the lattice nematic (LN) phase and the staggered phase (SP), separated by a first-order transition and the Rokhsar-Kivelson point. Our renormalization group analysis is fully consistent with the order parameter histogram in Monte Carlo simulations. The realization and implication of our phase diagram in Rydberg experiments are proposed.
Article
Physics, Multidisciplinary
Jiarui Zhao et al.
Summary: We develop a nonequilibrium increment method to calculate the Renyi entanglement entropy and study its scaling behavior at the deconfined critical point through large-scale quantum Monte Carlo simulations. Our results reveal fundamental differences between deconfined quantum critical points and quantum critical points described by unitary conformal field theories, as the corner correction exponent in the former case is found to be negative, in contrast to the positivity condition of the Renyi entanglement entropy.
PHYSICAL REVIEW LETTERS
(2022)
Article
Multidisciplinary Sciences
Jiang-Xiazi Lin et al.
Summary: This study investigates the combined influence of strong electron correlation and spin-orbit coupling on a two-dimensional electronic system at the interface between twisted bilayer graphene and tungsten diselenide crystal. The research shows that strong electron correlation stabilizes correlated insulating states at different fillings within the moire flatband and spin-orbit coupling transforms these insulators into ferromagnetic materials. The coupling between spin and valley degrees of freedom can be controlled with a magnetic or electric field.
Article
Multidisciplinary Sciences
Tianye Huang et al.
Summary: This study reports the direct observation of two new plasmon modes in macroscopic twisted bilayer graphene (tBLG) with a highly ordered moiré superlattice. These modes include chiral plasmons arising from the uncompensated Berry flux of the electron gas under optical pumping, and slow plasmonic modes resulting from interband transitions in AB-stacked domains. These findings are important for understanding the electromagnetic dynamics of small-angle tBLG and enabling strong light-matter interactions in the mid-wave infrared spectral window.
Article
Physics, Multidisciplinary
Xiyue Lin et al.
Summary: A topological Mott insulator with spontaneous time-reversal symmetry breaking and nonzero Chern number has been discovered in real-space effective model for twisted bilayer graphene at 3/4 filling in the strong coupling limit. The researchers obtained the finite-T phase diagram and dynamical properties of the model using thermal tensor network and perturbative field-theoretical approaches. They found that the transitions occur at significantly reduced temperature due to the proliferation of excitons, and explained the experimental signatures of the exciton phase.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Johannes S. Hofmann et al.
Summary: In this study, unbiased Monte Carlo simulations were used to investigate realistic models of magic-angle twisted bilayer graphene (TBG) at charge neutrality. The results show the competition between an insulating Kramers intervalley coherent ground state and a correlated semimetal phase in the absence of transport. The temperature evolution of order parameters and electronic spectral functions reveals a pseudogap regime, where gap features are established at a higher temperature than the onset of order. Furthermore, predictions for electronic tunneling spectra and their evolution with temperature are provided.
Article
Physics, Multidisciplinary
Shihao Zhang et al.
Summary: In this Letter, the authors theoretically investigate the correlated insulators and density wave states in magic-angle twisted bilayer graphene (TBG) and propose that nonlinear optical response can serve as a promising experimental probe for unveiling the nature of these states.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Jonah Herzog-Arbeitman et al.
Summary: This Letter focuses on the study of magic angle twisted bilayer graphene (TBG) at 2 pi flux. By using a newly developed gauge-invariant formalism, the exact single-particle band structure and topology are determined. It is found that the characteristic TBG flat bands reemerge at 2 pi flux, but they split and acquire Chern number +1 due to the magnetic field breaking C2zT. In addition, reentrant correlated insulating states driven by the Coulomb interaction at integer fillings are discovered, and characteristic Landau fans from their excitation spectrum are predicted.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Zhi-Da Song et al.
Summary: Magic-angle twisted bilayer graphene exhibits seemingly contradictory localization and delocalization behaviors. By constructing a model, we are able to capture both aspects and provide a new perspective on strong correlation physics.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Manuel Weber et al.
Summary: In this study, we use quantum Monte Carlo simulations to stabilize long-range antiferromagnetic order in the Heisenberg chain by coupling it to an independent bosonic bath. Unlike the isolated Heisenberg chain, the coupled chain retains the global SO(3) spin symmetry. It is experimentally challenging to observe long-range order at small coupling due to the requirement for exponentially large system sizes.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Yan-Cheng Wang et al.
Summary: We study the scaling behavior of the disorder parameter at the deconfined quantum critical point in the J-Q(3) model in (2+1)d using large-scale quantum Monte Carlo simulations. We find that the disorder parameter for U(1) spin rotation symmetry exhibits perimeter scaling with a logarithmic correction associated with sharp corners of the region, as expected for a conformally-invariant critical point. However, for large rotation angle, the universal coefficient of the logarithmic corner correction becomes negative, which is not allowed in any unitary conformal field theory. We also determine the current central charge from the small rotation angle scaling, which is much smaller than that of the free theory.
Article
Multidisciplinary Sciences
Zheng Yan et al.
Summary: In this study, a large-scale quantum Monte Carlo simulation is performed on an extended triangular lattice quantum dimer model with terms in the Hamiltonian that annihilate and create single dimers. The results show the existence of distinct odd and even Z(2) spin liquids, along with several phases with no topological order. Additionally, dynamic spectra of these phases are presented, with implications for experiments on Rydberg atoms.
NATURE COMMUNICATIONS
(2022)
Article
Materials Science, Multidisciplinary
Xu Zhang et al.
Summary: By considering the evidence of intervalley attraction-mediated by phonon or topological fluctuations, this study assumes the existence of intervalley attraction in moire flat bands and aims to identify universal properties that may emerge. The results show that the flat-band limit can be solved exactly by matching the interaction strength of intervalley attraction with intravalley repulsion. The study also demonstrates the presence of a boson fluid phase and a pseudogap phase at high temperatures.
Article
Physics, Multidisciplinary
Chengkang Zhou et al.
Summary: This paper investigates the dynamical signature in the X-cube model in the presence of external Zeeman fields using large-scale quantum Monte Carlo simulation and stochastic analytic continuation. The study reveals the evolution of subdimensional excitations in fracton orders and their behavior under external fields.
PHYSICAL REVIEW RESEARCH
(2022)
Article
Materials Science, Multidisciplinary
Shubhayu Chatterjee et al.
Summary: Recent research suggests that the topology of magic-angle twisted bilayer graphene could provide a novel mechanism for superconductivity, driven by the binding of electrons into charge-2e skyrmions.
Article
Materials Science, Multidisciplinary
Xu Zhang et al.
Summary: Sign problems in fermion quantum Monte Carlo simulation have long been a challenging issue. Traditional beliefs suggest that the average sign in QMC simulation approaches zero exponentially fast with the space-time volume. However, we analytically show that this is not always true and manage to find physical bounds for the average sign. Our understanding is based on the connection between the sign bounds and the partition function of the reference system, which can determine whether the bounds exhibit exponential or algebraic scaling in the low-temperature limit.
Article
Materials Science, Multidisciplinary
Stefan Birnkammer et al.
Summary: In this study, we propose a Floquet protocol to realize and characterize interacting topological phases in synthetic quantum systems, and provide experimental and numerical evidence for its effectiveness.
Article
Materials Science, Multidisciplinary
Frank Schindler et al.
Summary: The strong-coupling phase diagram of magic-angle twisted bilayer graphene predicts exact one-particle charge +/- 1 gapped excitations above the ferromagnetic ground states. In this study, the trion bound state is identified as the lowest charge +1 overall excitation under certain conditions.
Article
Materials Science, Multidisciplinary
Gaopei Pan et al.
Summary: Using the momentum-space quantum Monte Carlo scheme, the dynamic response of single-particle and collective excitations in realistic continuum models of twisted bilayer graphene is studied. The findings reveal that repulsive interactions push the fermion spectral weight away from the Fermi energy, resulting in an insulating gap. The spectra of collective excitations suggest an approximate valley SU(2) symmetry, with long-lived valley waves observed at low energy.
Review
Physics, Multidisciplinary
Yuan-Da Liao et al.
Summary: The review discusses analytical and numerical studies of correlated insulating states in twisted bilayer graphene, focusing on real-space lattice models constructions and their unbiased quantum many-body solutions. By constructing localized Wannier states for the narrow bands, the projected Coulomb interactions can be approximated by interactions of cluster charges with assisted nearest neighbor hopping terms. The Hamiltonian in the strong coupling limit is SU(4) symmetric, but perturbative kinetic terms break this symmetry and lead to the emergence of various insulating states.
Article
Multidisciplinary Sciences
Rhine Samajdar et al.
Summary: Density-matrix renormalization group calculations show a wide variety of complex solid phases and a region with dense Rydberg excitations, large entanglement entropy, and no local order parameter on the kagome lattice of neutral atoms at zero temperature. The regime could contain one or more phases with topological order, as suggested by mapping to the triangular lattice quantum dimer model and theories of quantum phase transitions. These results lay the foundation for theoretical and experimental explorations of crystalline and liquid states using programmable quantum simulators based on Rydberg atom arrays.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Physics, Multidisciplinary
Yuan Da Liao et al.
Summary: In this study, unbiased quantum Monte Carlo simulations were used to solve an effective interacting lattice model for twisted bilayer graphene (TBG) at charge neutrality. Various correlated insulating phases were discovered, including a quantum valley Hall state with topological edge states, an intervalley-coherent insulator, and a valence bond solid. These charge-neutrality correlated insulating phases provide important reference states for understanding insulating states at integer fillings and the proximate superconducting states of TBG.
Article
Physics, Multidisciplinary
Andrew T. Pierce et al.
Summary: The discovery of unexpected incompressible states in MATBG, with Chern numbers incompatible with the simple sequential band filling assumption, can be understood as a consequence of broken translation symmetry that doubles the moire unit cell and splits each flavour band in two. These unusual incompressible phases expand the known phase diagram of MATBG and shed light on the close competition between different correlated phases in the system.
Article
Physics, Multidisciplinary
Petr Stepanov et al.
Summary: Research has shown that the odd integer filling factors in h-BN nonaligned devices correspond to symmetry broken Chern insulators with a Chern number of C = +1 and a relatively high Curie temperature. Under a perpendicular magnetic field, the Chern insulator at v = +1 transitions from C = +1 to C = 3, characterized by a quantized Hall plateau. Additionally, the device exhibits strong superconducting phases with critical temperatures up to Tc ≈ 3.5 K.
PHYSICAL REVIEW LETTERS
(2021)
Article
Multidisciplinary Sciences
G. Semeghini et al.
Summary: Researchers utilized a programmable quantum simulator made up of 219 atoms to investigate quantum spin liquid states, creating frustrated quantum states without local order through array placement and evolution, and detecting the onset of a quantum spin liquid phase using topological string operators.
Article
Multidisciplinary Sciences
K. J. Satzinger et al.
Summary: The discovery of topological order revolutionized the understanding of quantum matter and laid the theoretical groundwork for quantum error-correcting codes. By preparing the ground state of the toric code Hamiltonian on a superconducting quantum processor, researchers were able to measure topological entanglement entropy and simulate anyon interferometry. Investigating aspects of the surface code, including logical state injection and the decay of nonlocal order parameter, showed the potential of quantum processors in studying topological quantum matter and error correction mechanisms.
Article
Multidisciplinary Sciences
Alessio Chiocchetta et al.
Summary: The study demonstrates how tunable frustrated spin-spin interactions can be induced by coupling a quantum antiferromagnet to the quantized light of a driven optical cavity, leading to robust quantum spin liquid states.
NATURE COMMUNICATIONS
(2021)
Article
Multidisciplinary Sciences
Asaf Rozen et al.
Summary: The study reveals a transition from a low-entropy electronic liquid to a high-entropy correlated state in magic-angle twisted bilayer graphene under the influence of electron density, temperature, and magnetic field. The correlated state demonstrates a unique combination of properties associated with itinerant electrons and localized moments, with distinct energy scales for different characteristics. The hybrid nature of the correlated state and the separation of energy scales have significant implications for the thermodynamic and transport properties of twisted bilayer graphene.
Article
Multidisciplinary Sciences
Yu Saito et al.
Summary: The study explores the finite-temperature dynamics of spin and valley isospins in magic-angle twisted bilayer graphene, revealing a resistivity peak at high temperatures near a superlattice filling factor of -1, suggesting a Pomeranchuk-type mechanism. The data indicate the presence of a finite-field magnetic phase transition and a small isospin stiffness in the system.
Article
Multidisciplinary Sciences
Jeong Min Park et al.
Summary: Interaction-driven spontaneous symmetry breaking plays a key role in the emergence of correlated and topological ground states in moire systems such as magic-angle twisted bilayer graphene (MATBG). Through thermodynamic and transport measurements, we have observed broken spin/valley 'flavour' symmetry in MATBG and its nontrivial topology. Furthermore, the topological nature of the flat bands is revealed by breaking time-reversal symmetry, leading to the observation of Chern insulator states with different Chern numbers at specific filling factors. Our findings shed light on the understanding of interactions in the topological bands of MATBG, both with and without a magnetic field.
Article
Physics, Multidisciplinary
Yves H. Kwan et al.
Summary: The study reveals the topological features of neutral particle-hole pair excitations and their impact on the bound states in correlated QAH insulators. This results in the formation of topological exciton bands with robust features. The research also applies these ideas to broken-symmetry spontaneous QAH insulators in magic-angle twisted bilayer graphene with substrate alignment.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Zheng Yan et al.
Summary: The study focused on the excitation spectra of quantum dimer models on a triangular lattice, revealing the transitions of single vison excitations and the emergence of important symmetries during the QSL-VBS transition. Utilizing the sweeping cluster quantum Monte Carlo algorithm, a new method for understanding the static and dynamic properties of QDMs was developed.
NPJ QUANTUM MATERIALS
(2021)
Article
Physics, Multidisciplinary
Chengkang Zhou et al.
Summary: The study focuses on the amplitude (Higgs) mode associated with longitudinal fluctuations of the order parameter at the continuous spontaneous symmetry breaking phase transition. By using quantum Monte Carlo simulations, stochastic analytic continuation, and a chain-mean field approach combined with a mapping to the field-theoretic sine-Gordon model, the amplitude mode is successfully observed in a weakly coupled spin chain system in a quasi-one-dimensional geometry. The study also compares the amplitude mode in different dimensions and finds that in contrast to higher-dimensional systems, the amplitude and bond order fluctuations carry significant spectral weight in the quasi-1D limit.
PHYSICAL REVIEW LETTERS
(2021)
Article
Multidisciplinary Sciences
Nicolo Defenu
Summary: In systems with power-law decaying couplings, the spectrum remains discrete up to the thermodynamic limit, unlike traditional results on the chaotic nature of spectra in many-body quantum systems. The existence of QSSs may be related to the finiteness of Poincare recurrence times, extending known results on anomalous magnetization dynamics in the quantum Ising model with power-law decaying couplings. The comparison between the discrete spectrum of long-range systems and more conventional examples of pure point spectra in the disordered case is also discussed.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Multidisciplinary Sciences
Yan-Cheng Wang et al.
Summary: The experimental discovery of Anyons in two-dimensional electron gases has opened up new possibilities for studying quantum particles beyond bosons and fermions. Large-scale quantum Monte Carlo simulations have revealed unique conductivity properties near a phase transition, with implications for quantum materials research.
NATURE COMMUNICATIONS
(2021)
Article
Multidisciplinary Sciences
Bin-Bin Chen et al.
Summary: This study investigates the correlated electron phenomena in magic-angle twisted bilayer graphene, proposing a Mott-Hubbard perspective and identifying a quantum phase transition in the lattice model. The results not only clarify the mechanism of the quantum anomalous Hall state, but also provide an example of the topological Mott insulator in the strong coupling limit.
NATURE COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Ruben Verresen et al.
Summary: The study demonstrates the realization of Z(2) topological order in a two-dimensional array of Rydberg atoms on the ruby lattice, at specific values of the Rydberg blockade radius. Using numerical density matrix renormalization group method, the phase diagram is obtained, showing the existence of a topological quantum liquid (TQL) with experimental measurement methods proposed. The implications for exploring fault-tolerant quantum memories are also discussed.
Article
Optics
Zehan Li et al.
Summary: The paper discusses the emergence of quantum phases in a system where spin ensembles are coupled to optical cavities, resulting in the spontaneous breaking of continuous U(1) symmetry and the presence of XY order. The study shows that even an infinitely weak infinite-range interaction can induce XY order in the system. Additionally, the violation of the area law logarithmically in the half-chain entanglement entropy is demonstrated in the U(1) symmetry-broken phase.
Article
Materials Science, Multidisciplinary
Jan Alexander Koziol et al.
Summary: The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions were investigated using stochastic series expansion quantum Monte Carlo. The critical exponents nu and beta vary with the decay exponent of the long-range interactions. Different interaction ranges result in different critical exponents.
Article
Materials Science, Multidisciplinary
Jianpeng Liu et al.
Summary: Using an all-band Hartree-Fock variational method, the mechanisms behind correlated insulating states and quantum anomalous Hall effects in twisted bilayer graphene at integer fillings of flat bands have been explained. Correlated insulating states exhibit valley polarization and moire orbital antiferromagnetic ordering, while the quantum anomalous Hall states show spin and orbital ferromagnetic characteristics.
Article
Physics, Multidisciplinary
Yuan Cao et al.
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