相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。
Article
Multidisciplinary Sciences
Meizhen Huang et al.
Summary: This study reports a significant breakthrough in the efficiency of nonlinear Hall generation in small-angle-twisted bilayer WSe2, reaching 1000 V-1, which is a hundred times higher than the previous records. The researchers explained this result through the correlation-induced continuous Mott transition effect.
NATIONAL SCIENCE REVIEW
(2023)
Article
Multidisciplinary Sciences
R. Mondaini et al.
Summary: The sign problem is a fundamental limitation in simulations of strongly correlated matter. In this study, the quantitive connection between the sign problem in determinant quantum Monte Carlo (QMC) and quantum critical behavior is demonstrated through simulations of several well-understood models. A reinterpretation of the low average sign in the Hubbard model is proposed, relating it to the onset of pseudogap behavior and exotic superconductivity.
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
Glenn Wagner et al.
Summary: We investigate the phase diagram of twisted bilayer graphene (TBG) in the normal state, considering doping and strain dependence. Our comprehensive calculations reveal the competition and coexistence of three intertwined orders: a fully symmetric phase, flavor-symmetry-breaking states, and an incommensurate Kekule spiral (IKS) order. The IKS order is found to be ubiquitous for noninteger doping as well, consistent with experimental observations of electronic compressibility and Fermi surface structure. This study suggests a unified picture of the phase diagram in terms of IKS order.
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
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
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
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
G. W. K. Moore et al.
Summary: Ice arches at the northern and southern ends of Nares Strait, a key passage in the Arctic, are forming for shorter durations, leading to increased ice transport and accelerating the export of multi-year ice.
NATURE COMMUNICATIONS
(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
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
Multidisciplinary Sciences
Eslam Khalaf et al.
Summary: Topological solitons play a crucial role in insulating and superconducting behavior in stacked and twisted graphene sheets. Symmetry breaking leads to an ordered insulator, while topological solitons result in a superconductor.
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
Multidisciplinary Sciences
Augusto Ghiotto et al.
Summary: Metal-to-insulator transitions in twisted WSe2 exhibit strange metal behavior at low temperatures and Fermi liquid behavior at intermediate temperatures, eventually reaching an anomalous saturated regime near room temperature. This new platform allows for the study of doping and bandwidth-controlled metal-insulator quantum phase transitions on the triangular lattice.
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
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
Multidisciplinary Sciences
En Li et al.
Summary: The authors demonstrate the emergence of multiple ultra-flat electronic bands in twisted bilayer WSe2 using scanning tunneling microscopy and spectroscopy, indicating the potential for further study of exotic correlated phases in TB-TMDs.
NATURE COMMUNICATIONS
(2021)
Article
Materials Science, Multidisciplinary
B. Andrei Bernevig et al.
Summary: We derive the explicit Hamiltonian of twisted bilayer graphene with Coulomb interaction, demonstrating positive semidefinite Hamiltonians when projected into flat bands. It is proved that the interacting TBG Hamiltonian exhibits an exact U(4) symmetry in the flat band limit. The existence of chiral limits with enlarged symmetry suggests a possible undiscovered duality of the model.
Article
Materials Science, Multidisciplinary
B. Andrei Bernevig et al.
Summary: In this study, exact analytic expressions for the energies and wave functions of charged and neutral excitations above the ground state in twisted bilayer graphene are determined, considering various forms of Coulomb interaction and tunneling. It was found that the Cooper pair binding energy is zero in all projected Coulomb models for actual TBG bands, indicating that superconductivity may require other factors such as phonons or nonzero kinetic energy. The study also suggests that if superconductivity is driven by kinetic terms, the highest critical temperature may not necessarily occur at the maximum density of states.
Article
Materials Science, Multidisciplinary
Zhi-Da Song et al.
Summary: The continuous model of twisted bilayer graphene (TBG) is shown to be anomalous and incompatible with lattice models, with numerical confirmation of an approximate particle-hole symmetry and stable topology. This stable topology implies the existence of 4l + 2 Dirac points, protected against arbitrary gap closings, and cannot be realized in lattice models that preserve both C2zT and P symmetries. Additionally, other topology related topics and their implications for interacting TBG problems are discussed.
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
Shang Liu et al.
Summary: We report a fully self-consistent Hartree-Fock calculation of the interaction effects on the moire flat bands of twisted bilayer graphene, assuming valley U(1) symmetry is respected. Three types of self-consistent solutions were found, including insulators breaking C2T symmetry, spin/valley-polarized insulators, and semimetals breaking rotation C-3 symmetry. The relative stability of these states can be tuned by weak strains that break C-3 rotation.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Multidisciplinary
Heqiu Li et al.
Summary: The study focuses on transition metal dichalcogenides (TMD) Moire superlattices with time-reversal symmetry and nontrivial spin/valley-Chern numbers. By introducing the Coulomb repulsion, gapped fractional topological states, specifically fractional Chern insulators, are stabilized at certain twisting angles and fractional filling. These fractional states break time-reversal symmetry spontaneously and exhibit contrasting Chern numbers in opposite valleys.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Multidisciplinary Sciences
Guorui Chen et al.
Article
Multidisciplinary Sciences
Peter Rickhaus et al.
Article
Physics, Multidisciplinary
Cheng Shen et al.
Article
Multidisciplinary Sciences
U. Zondiner et al.
Article
Chemistry, Physical
Lei Wang et al.
Article
Multidisciplinary Sciences
Kevin P. Nuckolls et al.
Article
Physics, Multidisciplinary
Patrick J. Ledwith et al.
PHYSICAL REVIEW RESEARCH
(2020)
Article
Materials Science, Multidisciplinary
Tomohiro Soejima et al.
Article
Chemistry, Physical
Liheng An et al.
NANOSCALE HORIZONS
(2020)
Article
Materials Science, Multidisciplinary
Yi Zhang et al.
Article
Multidisciplinary Sciences
Yonglong Xie et al.
Article
Multidisciplinary Sciences
Alexander Kerelsky et al.
Article
Physics, Multidisciplinary
Jian Kang et al.
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Multidisciplinary
S. L. Tomarken et al.
PHYSICAL REVIEW LETTERS
(2019)
Article
Multidisciplinary Sciences
Xiaobo Lu et al.
Article
Physics, Multidisciplinary
Yuan Da Liao et al.
PHYSICAL REVIEW LETTERS
(2019)
Article
Materials Science, Multidisciplinary
J. M. Pizarro et al.
Article
Physics, Multidisciplinary
Stephen Carr et al.
PHYSICAL REVIEW RESEARCH
(2019)
Article
Materials Science, Multidisciplinary
Louk Rademaker et al.
Article
Multidisciplinary Sciences
Yuan Cao et al.
Article
Multidisciplinary Sciences
Yuan Cao et al.
Article
Physics, Multidisciplinary
Mikito Koshino et al.
Article
Physics, Multidisciplinary
Hoi Chun Po et al.
Article
Multidisciplinary Sciences
Francisco Guinea et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2018)
Article
Materials Science, Multidisciplinary
Nguyen N. T. Nam et al.
Review
Physics, Multidisciplinary
A. V. Rozhkov et al.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2016)
Article
Materials Science, Multidisciplinary
Sylvain Capponi et al.
Article
Materials Science, Multidisciplinary
Yongfei Jia et al.
Article
Materials Science, Multidisciplinary
J. M. B. Lopes dos Santos et al.
Article
Materials Science, Multidisciplinary
G. Trambly de Laissardiere et al.
Article
Physics, Multidisciplinary
Zhong Wang et al.
Article
Multidisciplinary Sciences
Rafi Bistritzer et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2011)
Article
Chemistry, Multidisciplinary
G. Trambly de laissardiere et al.
Article
Physics, Multidisciplinary
S. Raghu et al.
PHYSICAL REVIEW LETTERS
(2008)
Article
Physics, Multidisciplinary
J. M. B. Lopes dos Santos et al.
PHYSICAL REVIEW LETTERS
(2007)
Article
Physics, Multidisciplinary
T Fukui et al.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2005)
