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We explore various properties of classical one-dimensional Wigner solids in the presence of disorder at T=0 in the context of a recently discovered Anderson transition of plasma modes in the random potential system. The extent to which the…

Disordered Systems and Neural Networks · Physics 2011-11-09 Shimul Akhanjee , Joseph Rudnick

We demonstrate that the two-dimensonal electron system in a strong perpendicular magnetic field has stable states which break rotational but not translational symmetry. The Laughlin fluid becomes unstable to these states in quantum wells…

Condensed Matter · Physics 2009-10-28 K. Musaelian , Robert Joynt

We investigate electronic transport in dual-gated twisted bilayer graphene. Despite the sub-nanometer proximity between the layers, we identify independent contributions to the magnetoresistance from the graphene Landau level spectrum of…

A monolayer graphene exists in an environment where a uniform magnetic field interacts a spatially modulated magnetic field. The spatially modulated magnetic field could affect Landau levels due to a uniform magnetic field. The modulation…

Mesoscale and Nanoscale Physics · Physics 2007-08-02 J. H. Ho , Y. H. Lai , Y. H. Chiu , M. F. Lin

This study delves into the magneto-electronic and magneto-optical properties of stacking-modulated bilayer graphene. By manipulating domain walls (DWs) across AB-BA domains periodically, we unveil oscillatory Landau subbands and the…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Chiun-Yan Lin , Da-We Weng , Chih-Wei Chiu , Godfrey Gumbs

Exponential localization of wavefunctions in lattices, whether in real or synthetic dimensions, is a fundamental wave interference phenomenon. Localization of Bloch-type functions in space-periodic lattice, triggered by spatial disorder, is…

Disordered Systems and Neural Networks · Physics 2021-01-22 Adhip Pattanayak , Á. Jiménez-Galán , Misha Ivanov , Gopal Dixit

Elastic strain can displace the massless Dirac fermions in monolayer graphene in a space-dependent fashion, similar to the effect of an external magnetic field, thus giving rise to Landau quantization. We here show that the strain-induced…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Tianyu Liu , Jun-Hong Li , Xingchuan Zhu , Huaiming Guo , Hai-Zhou Lu , X. C. Xie

In this paper, we study periodically modulated $s=1/2$ spin chain in a linear gradient potential (LP) that is generated by an external magnetic field. In the absence of the LP, the system has topological states that exhibit a magnetization…

Strongly Correlated Electrons · Physics 2019-12-11 Takahiro Orito , Yoshihito Kuno , Ikuo Ichinose

The diverse quantization phenomena in 2D condensed-matter systems, being due to a uniform perpendicular magnetic field and the geometry-created lattice symmetries, are the focuses of this book. They cover the diversified magneto-electronic…

Computational Physics · Physics 2019-05-09 Chiun-Yan Lin , Thi-Nga Do , Jhao-Ying Wu , Po-Hsin Shih , Shih-Yang Lin , Ching-Hong Ho , Ming-Fa Lin

We study the collective modes of the quantum Hall states in undoped bilayer graphene in a strong perpendicular magnetic and electric field. Both for the well-known ferromagnetic state that is relevant for small electric field $E_\perp$ and…

Strongly Correlated Electrons · Physics 2011-05-04 Csaba Toke , Vladimir I. Fal'ko

The magnetic phases induced by the interplay between disorder acting only on particles with a given spin projection ("spin-dependent disorder") and a local repulsive interaction is explored. To this end the magnetic ground state phase…

Strongly Correlated Electrons · Physics 2024-04-26 J. Skolimowski , D. Vollhardt , K. Byczuk

Collective modes of exotic quantum fluids reveal underlying physical mechanisms responsible for emergent complex quantum ground states. We observe unexpected new collective modes in the fractional quantum Hall (FQH) regime:…

Mesoscale and Nanoscale Physics · Physics 2019-11-05 Lingjie Du , Ursula Wurstbauer , Ken W. West , Loren N. Pfeiffer , Saeed Fallahi , Geoff C. Gardner , Michael J. Manfra , Aron Pinczuk

Recent scanning tunneling microscopy experiments on graphene at charge neutrality under strong magnetic fields have uncovered a ground state characterized by Kekul\'e distortion (KD). In contrast, non-local spin and charge transport…

Mesoscale and Nanoscale Physics · Physics 2024-01-24 Nemin Wei , Guopeng Xu , Inti Sodemann Villadiego , Chunli Huang

Strong interactions between electrons occupying bands of opposite (or like) topological quantum numbers (Chern$=\pm1$), and with flat dispersion, are studied by using lowest Landau level (LLL) wavefunctions. More precisely, we determine the…

Strongly Correlated Electrons · Physics 2020-12-15 P. Myles Eugenio , Ceren B. Dağ

A two-dimensional Heisenberg model with random antiferromagnetic nearest-neighbor exchange is studied using quantum Monte Carlo techniques. As the strength of the randomness is increased, the system undergoes a transition from an…

Condensed Matter · Physics 2009-10-22 Anders W. Sandvik , Marco Vekic

We study the Landau level localization and scaling properties of a disordered two-dimensional electron gas in the presence of a strong external magnetic field. The impurities are treated as random distributed scattering centers with…

Condensed Matter · Physics 2009-10-22 Dongzi Liu , S. Das Sarma

Theoretical model for magnetic ordering in the heavy-fermion metal URu2Si2 is suggested. The 17.5K transition in this material is ascribed to formation of a spin-density wave, which develops due to a partial nesting between electron and…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Mineev , M. E. Zhitomirsky

Topological and crystalline orders of electrons both benefit from enhanced Coulomb interactions in partially filled Landau levels. In bilayer graphene (BLG), the competition between fractional quantum Hall liquids and electronic crystals…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 André Haug , Ravi Kumar , Tomer Firon , Misha Yutushui , Kenji Watanabe , Takashi Taniguchi , David F. Mross , Yuval Ronen

Despite much theoretical work, developing a comprehensive ab initio model for twisted bilayer graphene (TBG) has proven challenging due to the inherent trade-off between accurately describing the band structure and incorporating the…

Strongly Correlated Electrons · Physics 2025-09-25 Run Hou , Shouvik Sur , Lucas K. Wagner , Andriy H. Nevidomskyy

The electronic properties of a bricklayer model, which shares the same topology as the hexagonal lattice of graphene, are investigated numerically. We study the influence of random magnetic-field disorder in addition to a strong…

Mesoscale and Nanoscale Physics · Physics 2010-09-28 L. Schweitzer , P. Markos