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Graphene, a single sheet of graphite, has attracted tremendous attention due to recent experiments which demonstrate that carriers in it are described by massless fermions with linear dispersion. In this note, we consider the possibility of…

强关联电子 · 物理学 2015-06-25 Hari P Dahal , Yogesh N. Joglekar , Kevin S. Bedell , Alexander V. Balatsky

Graphene and its multilayers have attracted considerable interest owing to the fourfold spin and valley degeneracy of their charge carriers, which enables the formation of a rich variety of broken-symmetry states and raises the prospect of…

介观与纳米尺度物理 · 物理学 2013-09-10 Benjamin E. Feldman , Andrei J. Levin , Benjamin Krauss , Dmitry Abanin , Bertrand. I. Halperin , Jurgen H. Smet , Amir Yacoby

Graphene, a single sheet of graphite with honeycomb lattice structure, has massless carriers with tunable density and polarity. We investigate the ground state phase diagram of two graphene sheets (embedded in a dielectric) separated by…

介观与纳米尺度物理 · 物理学 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

It is generally believed that a Wigner Crystal in single layer graphene can not form because the magnitudes of the Coulomb interaction and the kinetic energy scale similarly with decreasing electron density. However, this scaling argument…

介观与纳米尺度物理 · 物理学 2017-03-08 P. G. Silvestrov , P. Recher

Application of a displacement field opens a gap and enhances the Van-Hove singularities in the band structure of Bernal-stacked bilayer graphene. By adjusting the carrier density so that the Fermi energy lies in the vicinity of these…

强关联电子 · 物理学 2026-03-20 Enrique Aguilar-Méndez , Titus Neupert , Glenn Wagner

When the Coulomb interaction dominates over kinetic energy, electrons can crystallize into a Wigner crystal (WC). This paradigmatic correlated electronic phase has been realized in two-dimensional electron gases with parabolic band…

We studied the unusual Quantum Hall Effect (QHE) near the charge neutrality point (CNP) in high-mobility graphene sample for magnetic fields up to 18 T. We observe breakdown of the delocalized QHE transport and strong increase in…

介观与纳米尺度物理 · 物理学 2010-07-28 L. Zhang , J. Camacho , H. Cao , Y. P. Chen , M. Khodas , D. Kharzeev , A. Tsvelik , T. Valla , I. A. Zaliznyak

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

介观与纳米尺度物理 · 物理学 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

We investigate integer and half-integer filling states (uniform and unidimensional stripe states respectively) for graphene using the Hartree-Fock approximation. For fixed filling factor, the ratio between the scales of the Coulomb…

介观与纳米尺度物理 · 物理学 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

Graphene, with its massless linearly-dispersing carriers, in the quantum Hall regime provides an instructive comparison with conventional two-dimensional (2D) systems in which carriers have a nonzero band mass and quadratic dispersion. We…

介观与纳米尺度物理 · 物理学 2009-11-13 C. -H. Zhang , Yogesh N. Joglekar

The single graphene layer is a novel material consisting of a flat monolayer of carbon atoms packed in a two-dimensional honeycomb-lattice, in which the electron dynamics is governed by the Dirac equation. A pseudo-spin phase-space approach…

介观与纳米尺度物理 · 物理学 2015-05-27 O. Morandi , F. Schuerrer

We show nonlinear transport experiments on clean, suspended bilayer graphene that reveal a gap in the density of states. Looking at the evolution of the gap in magnetic fields of different orientation, we find that the groundstate is a…

介观与纳米尺度物理 · 物理学 2013-04-16 Frank Freitag , Markus Weiss , Romain Maurand , Jelena Trbovic , Christian Schönenberger

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

介观与纳米尺度物理 · 物理学 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

Competition between liquid and solid states in two-dimensional electron system is an intriguing problem in condensed matter physics. We have investigated competing Wigner crystal and fractional quantum Hall ( FQH ) liquid phases in…

介观与纳米尺度物理 · 物理学 2018-08-27 Manohar Kumar , Antti Laitinen , Pertti J. Hakonen

When a strong magnetic field is applied perpendicularly (along z) to a sheet confining electrons to two dimensions (x-y), highly correlated states emerge as a result of the interplay between electron-electron interactions, confinement and…

介观与纳米尺度物理 · 物理学 2009-04-27 B. A. Piot , Z. Jiang , C. R. Dean , L. W. Engel , G. Gervais , L. N. Pfeiffer , K. W. West

AB-stacked bilayer graphene has emerged as a fascinating yet simple platform for exploring macroscopic quantum phenomena of correlated electrons. Unexpectedly, a phase with negative dR/dT has recently been observed when a large electric…

At low-energy, the band structure of graphene can be approximated by two degenerate valleys $(K,K^{\prime})$ about which the electronic spectra of the valence and conduction bands have linear dispersion relations. An electronic state in…

介观与纳米尺度物理 · 物理学 2009-11-13 R. Cote , J. -F. Jobidon , H. A. Fertig

Charge-neutral graphene in the quantum Hall regime is an example of a quantum Hall ferromagnet in a complex spin-valley space. This system exhibits a plethora of phases, with the particular spin-valley order parameters chosen by the system…

介观与纳米尺度物理 · 物理学 2025-05-21 Jincheng An , Ganpathy Murthy

We study the fractional quantum Hall effect in the central Landau level of bilayer graphene. By tuning the external applied magnetic field and the electric bias between the two layers one can access a regime where there is a degeneracy…

介观与纳米尺度物理 · 物理学 2023-03-15 Ngoc Duc Le , Thierry Jolicoeur

Wigner crystals are predicted as the crystallization of the dilute electron gas moving in a uniform background when the electron-electron Coulomb energy dominates the kinetic energy. The Wigner crystal has previously been observed in the…

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