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Interaction driven topological phases can significantly enrich the class of topological materials and thus are of great importance. Here, we study the phase diagram of interacting spinless fermions filling the two-dimensional checkerboard…

Strongly Correlated Electrons · Physics 2018-11-27 Tian-sheng Zeng , W. Zhu , D. N. Sheng

The high-frequency conductivity of Si delta-doped GaAs/AlGaAs heterostructures is studied in the integer quantum Hall effect (QHE) regime, using acoustic methods. Both the real and the imaginary parts of the complex conductivity are…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 I. L. Drichko , A. M. Diakonov , I. Yu. Smirnov , Y. M. Galperin , A. I. Toropov

Synthetic quantum Hall bilayer (SQHB), realized by optically driven monolayer graphene in the quantum Hall regime, provides a flexible platform for engineering quantum Hall phases as discussed in [Phys. Rev. Lett. 119, 247403]. The coherent…

Strongly Correlated Electrons · Physics 2020-09-02 Ze-Pei Cian , Tobias Grass , Abolhassan Vaezi , Zhao Liu , Mohammad Hafezi

We study interaction-driven quantum phases in a two-dimensional generalized Su-Schrieffer-Heeger (SSH) defined on a square lattice with inequivalent nearest-neighbor hopping, next-nearest-neighbor hopping and a staggered on-site potential.…

Strongly Correlated Electrons · Physics 2025-09-09 Rahul Ghosh

We measured the magnetoresistance of bilayer quantum Hall (QH) effects at the fractional filling factor $\nu =2/3$ by changing the total electron density and the density difference between two layers. Three different QH states were…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Kumada , D. Terasawa , Y. Shimoda , H. Azuhata , A. Sawada , Z. F. Ezawa , K. Muraki , T. Saku , Y. Hirayama

There are known two distinct types of the integer quantum Hall effect. One is the conventional quantum Hall effect, characteristic of two-dimensional semiconductor systems, and the other is its relativistic counterpart recently observed in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. S. Novoselov , E. McCann , S. V. Morozov , V. I. Falko , M. I. Katsnelson , U. Zeitler , D. Jiang , F. Schedin , A. K. Geim

High-$T_c$ cuprates are characterized by strong spin fluctuations, which give rise to antiferromagnetic and pseudogap phases and may be key to the high superconducting critical temperatures observed in these materials. Experimental studies…

Strongly Correlated Electrons · Physics 2025-03-18 Yingze Su , Hui Li , Huaqing Huang , Dingping Li

Motivated by recent transport experiments, we theoretically study the quantum Hall effect in topological semimetal films. Owing to the confinement effect, the bulk subbands originating from the chiral Landau levels establish energy gaps…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 D. -H. -Minh Nguyen , Koji Kobayashi , Jan-Erik R. Wichmann , Kentaro Nomura

We report a detailed characterization of quantum Hall effect (QHE) influence on the linear and non-linear resistivity tensor in FISDW phases of the organic conductor (TMTSF)2PF6. We show that the behavior at low electric fields, observed…

Strongly Correlated Electrons · Physics 2009-10-31 T. Vuletic , C. Pasquier , P. Auban-Senzier , S. Tomic , D. Jerome , K. Maki , K. Bechgaard

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

We demonstrate that formulating the composite-fermion theory of the fractional quantum Hall (FQH) effect in terms of quaternions greatly expands its reach and opens the door into many interesting issues that were previously beyond the reach…

Strongly Correlated Electrons · Physics 2025-05-30 Mytraya Gattu , J. K. Jain

The fractional quantum Hall effect (FQHE) in the second orbital Landau level at filling factor 5/2 remains enigmatic and motivates our work. We consider the effect of the quasi-2D nature of the experimental FQH system on a number of FQH…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Michael R. Peterson , Th. Jolicoeur , S. Das Sarma

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

When a two-dimensional electron gas is exposed to a perpendicular magnetic field and an in-plane electric field, its conductance becomes quantized in the transverse in-plane direction: this is known as the quantum Hall (QH) effect. This…

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Jan Böttcher , Christian Tutschku , Ewelina M. Hankiewicz

Using a mapping of a layered three-dimensional system with significant inter-layer tunneling onto a spin-Hamiltonian, the phase diagram in the strong magnetic field limit is obtained in the semi-classical approximation. This phase diagram,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Yigal Meir

The fractional quantum Hall effect (FQHE) of topological surface-state particles under a tilted strong magnetic field is theoretically studied by using the exact diagonalization method. The Haldane's pseudopotentials for the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Fawei Zheng , Zhigang Wang , Zhen-Guo Fu , Ping Zhang

One of the most spectacular experimental findings in the fractional quantum Hall effect is evidence for an emergent Fermi surface when the electron density is nearly half the density of magnetic flux quanta ($\nu = 1/2$). The seminal work…

Strongly Correlated Electrons · Physics 2016-04-14 Scott D. Geraedts , Michael P. Zaletel , Roger S. K. Mong , Max A. Metlitski , Ashvin Vishwanath , Olexei I. Motrunich

The theory of the orbital Hall effect (OHE), a transverse flow of orbital angular momentum in response to an electric field, has concentrated overwhelmingly on intrinsic mechanisms. Here, using a quantum kinetic formulation, we determine…

Mesoscale and Nanoscale Physics · Physics 2024-05-02 Hong Liu , Dimitrie Culcer

While the integer quantum Hall effect of composite fermions manifests as the prominent fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions produces further, more delicate states, arising from a weak residual…

Strongly Correlated Electrons · Physics 2015-01-14 Ajit C. Balram , Csaba Tőke , A. Wójs , J. K. Jain