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We address the question of the stability of the (fractional) quantum Hall effect (QHE) in presence of pseudomagnetic disorder generated by mechanical deformations of a graphene sheet. Neglecting the potential disorder and taking into…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Andrey A. Bagrov , Alessandro Principi , Mikhail I. Katsnelson

In a twisted graphene on hexagonal Boron Nitride, the presence of a gap and the breaking of the symmetry between carbon sublattices leads to multicomponent fractional quantum Hall effect (FQHE) due to the electrons correlation. We report on…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 J. Salvador-Sánchez , A. Pérez-Rodriguez , V. Clericò , O. Zheliuk , U. Zeitler , K. Watanabe , T. Taniguchi , E. Diez , M. Amado , V. Bellani

We report on the observation of quantum transport and interference in a graphene device that is attached with a pair of split gates to form an electrostatically-defined quantum point contact (QPC). In the low magnetic field regime, the…

In two dimensions strongly interacting bosons in a magnetic field can realize a bosonic integer quantum Hall state, the simplest two dimensional example of a symmetry protected topological phase. We propose a realistic implementation of…

Quantum Gases · Physics 2015-09-16 A. Sterdyniak , Nigel R. Cooper , N. Regnault

Strongly correlated fractional quantum Hall liquids support fractional excitations, which can be understood in terms of adiabatic flux insertion arguments. A second route to fractionalization is through the coupling of weakly interacting…

Strongly Correlated Electrons · Physics 2013-09-04 Armin Rahmani , Rodrigo A. Muniz , Ivar Martin

Trilayer graphene allows systematic control of its electronic structure through stacking sequence and twist geometry, providing a versatile platform for correlated states. Here we report magnetotransport in alternating twisted trilayer…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Dohun Kim , Gyeoul Lee , Nicolas Leconte , Seyoung Jin , Takashi Taniguchi , Kenji Watanabe , Jeil Jung , Gil Young Cho , Youngwook Kim

The quantum Hall effect hosts quantum phase transitions in which the localization length, that is the size of disorder-induced bulk localized states, is governed by universal scaling from percolation theory. However, this universal…

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

Single-layer and Bilayer of graphene are new classes of two-dimensional electron systems with unconventional band structures and valley degrees of freedom. The ground states and excitations in the integer and fractional quantum Hall regimes…

Strongly Correlated Electrons · Physics 2015-05-13 Naokazu Shibata , Kentaro Nomura

Since its discovery in 2004, graphene, a two-dimensional hexagonal carbon allotrope, has generated great interest and spurred research activity from materials science to particle physics and vice versa. In particular, graphene has been…

High Energy Physics - Lattice · Physics 2010-11-03 Joaquín E. Drut , Timo A. Lähde , Eero Tölö

Recent experimental and theoretical development in the Quantum Hall effect in monolayer graphene showed that the previous model of the valley-anisotropy interaction is incomplete, as it was assumed to be ultra-short range (USR). In this…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Oleg Grigorev , Ankur Das

It is demonstrated that all observed fractions at moderate Landau level fillings for the quantum Hall effect can be obtained without recourse to the phenomenological concept of composite fermions. The possibility to have the special…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. V. Iordanski

A number of quantum Hall isospin ferromagnetic (QHIFM) states have been predicted in the relativistic zero Landau level (LL) of graphene monolayer. These states, especially the states at LL filling factor v = 0 of charge-neutral graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Si-Yu Li , Yu Zhang , Long-Jing Yin , Lin He

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…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Jianhui Wang , A. Iyengar , H. A. Fertig , L. Brey

Analogue gravitational systems are becoming an increasing popular way of studying the behaviour of quantum systems in curved spacetime. Setups based on ultracold quantum gases in particular, have been recently harnessed to explore the…

Mesoscale and Nanoscale Physics · Physics 2019-07-23 Tommaso Morresi , Daniele Binosi , Stefano Simonucci , Riccardo Piergallini , Stephan Roche , Nicola M. Pugno , Simone Taioli

Nonuniform strain in graphene acts as a valley-dependent gauge field, generating pseudomagnetic fields (PMFs) that mimic real magnetic fields but preserve global time-reversal symmetry. While local probes have visualized such fields, their…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Divya Sahani , Sunit Das , Kenji Watanabe , Takashi Taniguchi , Amit Agarwal , Aveek Bid

Twisted double- and mono-bilayer graphene are graphene-based moir\'e materials hosting strongly correlated fermions in a gate-tunable conduction band with a topologically non-trivial character. Using unbiased exact diagonalization…

Strongly Correlated Electrons · Physics 2023-03-22 Patrick H. Wilhelm , Thomas C. Lang , Mathias S. Scheurer , Andreas M. Läuchli

The observation of extensive fractional quantum Hall states in graphene brings out the possibility of more accurate quantitative comparisons between theory and experiment than previously possible, because of the negligibility of finite…

Strongly Correlated Electrons · Physics 2016-05-25 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain

In the quantum Hall regime of graphene, antiferromagnetic and spin-polarized ferromagnetic states at the zeroth Landau level compete, leading to a canted antiferromagnetic state depending on the direction and magnitude of an applied…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Y. Li , M. Amado , T. Hyart , G. P. Mazur , V. Risinggård , T. Wagner , L. McKenzie Sell , G. Kimbell , J. Wunderlich , J. Linder , J. W. A. Robinson

Bosonic atoms deposited on atomically thin substrates represent a playground for exotic quantum many-body physics due to the highly-tunable, atomic-scale nature of the interaction potentials. The ability to engineer strong interparticle…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Sang Wook Kim , Mohamed Elsayed , Nathan S. Nichols , Taras Lakoba , Juan Vanegas , Carlos Wexler , Valeri N. Kotov , Adrian Del Maestro
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