4.6 Article

Quantum Monte Carlo at the graphene quantum Hall edge

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 Physics, Multidisciplinary

Thermodynamics of free and bound magnons in graphene

Andrew T. Pierce et al.

Summary: The passage discusses the ferromagnetic phase observed in the quantum Hall effect and the study of related magnon excitations. By measuring the electron compressibility under the influence of magnons, a reduction in the gap of the quantum Hall state is revealed. The analysis suggests injected magnons bind with electrons and holes to form skyrmions, allowing the extraction of free magnon density, magnon chemical potential, and average skyrmion spin.

NATURE PHYSICS (2022)

Article Multidisciplinary Sciences

Visualizing broken symmetry and topological defects in a quantum Hall ferromagnet

Xiaomeng Liu et al.

Summary: The interaction between electrons in graphene under high magnetic fields leads to the formation of various quantum Hall ferromagnetic (QHFM) phases with broken spin or valley symmetry. Using scanning tunneling spectroscopy (STS), we were able to visualize atomic-scale electronic wave functions and observe valley ordering in QHFM phases, as well as spectral features of fractional quantum Hall phases in graphene. The results provide insights into the electronic properties of materials and their topological excitations.

SCIENCE (2022)

Article Multidisciplinary Sciences

Imaging tunable quantum Hall broken-symmetry orders in graphene

Alexis Coissard et al.

Summary: In this study, three distinct broken-symmetry phases in graphene were directly imaged using scanning tunnelling spectroscopy. It was found that graphene exhibits different lattice-scale orders under different conditions, deviating from current theoretical predictions. These findings are important for uncovering correlated phases of matter in other quantum materials.

NATURE (2022)

Article Physics, Multidisciplinary

Coexistence of Canted Antiferromagnetism and Bond Order in ν=0 Graphene

Ankur Das et al.

Summary: Motivated by experiments on graphene in the quantum Hall regime, this study revisits the phase diagram of a single sheet of graphene at charge neutrality and presents the finding of a coexistence region of magnetic and bond orders. This result provides a possible explanation for experimental observations on the quantum Hall effect in graphene.

PHYSICAL REVIEW LETTERS (2022)

Article Physics, Multidisciplinary

Strong-Magnetic-Field Magnon Transport in Monolayer Graphene

Haoxin Zhou et al.

Summary: At high magnetic fields, monolayer graphene exhibits competing phases. Recent experiments have observed a special quantum Hall state that is related to the underlying isospin order. However, no direct evidence for this transition has been reported. This study measures the transmission of magnons in monolayer graphene and finds that transmission is controlled by density and restored in the antiferromagnetic regime. Additionally, a hidden phase transition between bulk insulating charge density wave and canted antiferromagnetic phase is directly detected.

PHYSICAL REVIEW X (2022)

Article Materials Science, Multidisciplinary

Theory of competing charge density wave, Kekule, and antiferromagnetically ordered fractional quantum Hall states in graphene aligned with boron nitride

Suraj S. Hegde et al.

Summary: We investigate spin- and valley-symmetry-broken fractional quantum Hall phases and predict a sequence of transitions from a sublattice polarized state to a valley coherent Kekule charge density wave state and further to an antiferromagnetic phase. For filling fractions such as nu = +/- 1/3, we predict a transition from a Laughlin-type state to a two-component Halperin-type state both with a charge density wave order. Moreover, for nu = +/- 1/3,+/- 2/3, we predict a canted Kekule density phase where the spinors of integer and fractionally occupied components have different orientations in the valley Bloch sphere.

PHYSICAL REVIEW B (2022)

Article Physics, Multidisciplinary

Excitonic nature of magnons in a quantum Hall ferromagnet

A. Assouline et al.

Summary: Magnons can transfer magnetic moment or spin over long distances. In quantum Hall ferromagnets, it is predicted that spin and charge are entangled, resulting in magnons carrying an electric dipole moment. Evidence of this electric dipole moment is found in a graphene quantum Hall ferromagnet using a Mach-Zehnder interferometer, with the magnons affecting interferometer flux and interference pattern phase and visibility. The ability to couple spin degree of freedom to an electrostatic potential in quantum Hall ferromagnets could have implications for spintronics.

NATURE PHYSICS (2021)

Article Physics, Multidisciplinary

Phases of the (2+1) Dimensional SO(5) Nonlinear Sigma Model with Topological Term

Zhenjiu Wang et al.

Summary: The study utilizes the half-filled zeroth Landau level in graphene as a regularization scheme to explore the physics of the SO(5) nonlinear sigma model subject to a Wess-Zumino-Witten topological term in 2 + 1 dimensions. The research shows an ordered phase within a specific parameter range, indicating the potential for deconfined quantum phase transitions between valence bond solids and antiferromagnets.

PHYSICAL REVIEW LETTERS (2021)

Article Physics, Multidisciplinary

Experimental Determination of the Energy per Particle in Partially Filled Landau Levels

Fangyuan Yang et al.

Summary: The experimental technique allows for high sensitivity measurement of the chemical potential in atomically thin layered materials. Results show exceptional agreement with numerical calculations in the N = 0 Landau level, while suggesting the importance of valley anisotropic interactions and possible presence of valley-textured electron solids near odd filling in the N = 1 Landau level.

PHYSICAL REVIEW LETTERS (2021)

Article Multidisciplinary Sciences

Edge channels of broken-symmetry quantum Hall states in graphene visualized by atomic force microscopy

Sungmin Kim et al.

Summary: The quantum Hall effect in graphene exhibits unique properties, with broken-symmetry edge states that have been difficult to spatially measure. This article spatially maps these edge states using atomic force microscopy, showing a gapped ground state transitioning from the bulk through to the quantum Hall edge boundary.

NATURE COMMUNICATIONS (2021)

Article Physics, Multidisciplinary

Gapless Spin Wave Transport through a Quantum Canted Antiferromagnet

Hailong Fu et al.

Summary: In this work, a new experimental method was demonstrated to successfully detect gapless, linearly dispersed spin wave excitations in bilayer graphene, providing direct evidence for a predicted antiferromagnetic order. The spin wave mode propagates at a high velocity and maintains phase coherence over a significant distance, consistent with hydrodynamic theory. These findings lay the groundwork for exploring spin superfluidity and potentially engineering magnonic devices in high-quality materials.

PHYSICAL REVIEW X (2021)

Article Multidisciplinary Sciences

Helical quantum Hall phase in graphene on SrTiO3

Louis Veyrat et al.

SCIENCE (2020)

Article Physics, Multidisciplinary

Long-distance spin transport through a graphene quantum Hall antiferromagnet

Petr Stepanov et al.

NATURE PHYSICS (2018)

Article Physics, Multidisciplinary

Even-denominator fractional quantum Hall states at an isospin transition in monolayer graphene

A. A. Zibrov et al.

NATURE PHYSICS (2018)

Article Multidisciplinary Sciences

Electrical generation and detection of spin waves in a quantum Hall ferromagnet

Di S. Wei et al.

SCIENCE (2018)

Article Materials Science, Multidisciplinary

Half-filled Landau levels: A continuum and sign-free regularization for three-dimensional quantum critical points

Matteo Ippoliti et al.

PHYSICAL REVIEW B (2018)

Article Materials Science, Multidisciplinary

Collective bulk and edge modes through the quantum phase transition in graphene at ν=0

Ganpathy Murthy et al.

PHYSICAL REVIEW B (2016)

Article Materials Science, Multidisciplinary

Edge structure of graphene monolayers in the ν=0 quantum Hall state

Angelika Knothe et al.

PHYSICAL REVIEW B (2015)

Article Materials Science, Multidisciplinary

Collective edge modes near the onset of a graphene quantum spin Hall state

Ganpathy Murthy et al.

PHYSICAL REVIEW B (2014)

Article Physics, Multidisciplinary

Broken SU(4) Symmetry and the Fractional Quantum Hall Effect in Graphene

I. Sodemann et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Evidence for a spin phase transition at charge neutrality in bilayer graphene

P. Maher et al.

NATURE PHYSICS (2013)

Article Materials Science, Multidisciplinary

Fractional and integer quantum Hall effects in the zeroth Landau level in graphene

Dmitry A. Abanin et al.

PHYSICAL REVIEW B (2013)

Article Physics, Multidisciplinary

Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene

Benjamin E. Feldman et al.

PHYSICAL REVIEW LETTERS (2013)

Article Physics, Multidisciplinary

Spin and valley quantum Hall ferromagnetism in graphene

A. F. Young et al.

NATURE PHYSICS (2012)

Article Materials Science, Multidisciplinary

Interaction corrections to the polarization function of graphene

I. Sodemann et al.

PHYSICAL REVIEW B (2012)

Article Materials Science, Multidisciplinary

Phase diagram for the ν=0 quantum Hall state in monolayer graphene

Maxim Kharitonov

PHYSICAL REVIEW B (2012)

Article Multidisciplinary Sciences

Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene

Benjamin E. Feldman et al.

SCIENCE (2012)

Article Physics, Multidisciplinary

Onset of an Insulating Zero-Plateau Quantum Hall State in Graphene

E. Shimshoni et al.

PHYSICAL REVIEW LETTERS (2009)

Article Physics, Multidisciplinary

Quantum hall states near the charge-neutral dirac point in graphene

Z. Jiang et al.

PHYSICAL REVIEW LETTERS (2007)

Article Physics, Multidisciplinary

Luttinger liquid at the edge of undoped graphene in a strong magnetic field

H. A. Fertig et al.

PHYSICAL REVIEW LETTERS (2006)

Article Physics, Multidisciplinary

Quantum spin-hall effect and topologically invariant Chern numbers

D. N. Sheng et al.

PHYSICAL REVIEW LETTERS (2006)

Article Physics, Multidisciplinary

Spin-filtered edge states and quantum hall effect in graphene

DA Abanin et al.

PHYSICAL REVIEW LETTERS (2006)

Article Physics, Multidisciplinary

Landau-level splitting in graphene in high magnetic fields

Y Zhang et al.

PHYSICAL REVIEW LETTERS (2006)

Article Physics, Multidisciplinary

Quantum spin Hall effect in graphene

CL Kane et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Multidisciplinary

Z2 topological order and the quantum spin Hall effect -: art. no. 146802

CL Kane et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Multidisciplinary

Field-induced antiferromagnetism in the Kondo insulator

KSD Beach et al.

PHYSICAL REVIEW LETTERS (2004)