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We consider ferromagnetic instabilities of two-dimensional helical Dirac fermions hosted on the surface of three-dimensional topological insulators. We investigate ways to increase the role of interactions by means of modifying the bulk…

Strongly Correlated Electrons · Physics 2013-11-13 Matthias Sitte , Achim Rosch , Lars Fritz

In a low-disorder two-dimensional electron system, when two Landau levels of opposite spin or pseudospin cross at the Fermi level, the dominance of the exchange energy can lead to a ferromagnetic, quantum Hall ground state whose gap is…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Meng K. Ma , Chengyu Wang , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , R. Winkler , M. Shayegan

Unlike regular electron spin, the pseudospin degeneracy of Fermi points in graphene does not couple directly to magnetic field. Therefore, graphene provides a natural vehicle to observe the integral and fractional quantum Hall physics in an…

Strongly Correlated Electrons · Physics 2009-11-11 Csaba Toke , Paul E. Lammert , Jainendra K. Jain , Vincent H. Crespi

We present the phase diagram of a ferromagnetic quantum Hall effect liquid in a narrow quantum well with vanishing single-particle Zeeman splitting, $\epsilon_{{\rm Z}}$ and pronounced spin-orbit coupling. Upon decreasing $\epsilon_{{\rm…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vladimir I. Fal'ko , S. V. Iordanski

From the Dirac equation of an electron in an anisotropic conduction band, the anisotropy of its motion dramatically affects its interaction with applied electric and magnetic fields. The quantum spin Hall effect (QSHE) is observable in…

Superconductivity · Physics 2019-06-26 Aiying Zhao , Qiang Gu , Richard A. Klemm

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , Jainendra K. Jain

A possible realization of Hall conductivity, quantized at odd integer factors of $e^2/h$ for graphene's honeycomb lattice is proposed. I argue that, in the presence of \emph{uniform} real and pseudo-magnetic fields, the valley degeneracy…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 Bitan Roy

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

The interaction between strong correlation and Berry curvature is an open territory of in the field of quantum materials. Here we report large anomalous Hall conductivity in a Kondo lattice ferromagnet USbTe which is dominated by intrinsic…

We report on a study of interaction effects on the polarization of a disordered two-dimensional electron system in a strong magnetic field. Treating the Coulomb interaction within the time-dependent Hartree-Fock approximation we find…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

Multilayer graphene systems with a rhombohedral stacking order harbor nearly flat bands in their single-particle spectrum. We propose ansatz states to describe the surface-localized states of flat band electrons. The absence of kinetic…

Strongly Correlated Electrons · Physics 2013-04-10 Hao Wang , Jin-Hua Gao , Fu-Chun Zhang

Spin splitting in the integer quantum Hall effect is investigated for a series of Al$_{x}$Ga$_{1-x}$As/GaAs heterojunctions and quantum wells. Magnetoresistance measurements are performed at mK temperature to characterize the electronic…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. A. Piot , D. K. Maude , M. Henini , Z. R. Wasilewski , K. J. Friedland , R. Hey , K. H. Ploog , A. I. Toropov , R. Airey , G. Hill

A low energy action for double-layer quantum Hall systems at filling fractions $\nu = 2/m$ ($m$ an odd integer) is introduced. Interlayer antiferromagnetic exchange induces a phase with canted spin order, and also a spin-singlet phase.…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Das Sarma , Subir Sachdev , Lian Zheng

The quantum anomalous Hall effect (QAHE) is an exotic quantum phenomenon originating from dissipation-less chiral channels at the sample edge. While the QAHE has been observed in magnetically doped topological insulators (TIs), exploiting…

The recent advent of topological states of matter spawned many significant discoveries. The quantum anomalous Hall effect[1-3] is a prime example due to its potential for applications in quantum metrology[4, 5] as well as its influence on…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Kajetan M. Fijalkowski , Nan Liu , Pankaj Mandal , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

We show that a suitable combination of geometric frustration, ferromagnetism and spin-orbit interactions can give rise to nearly flat bands with a large bandgap and non-zero Chern number. Partial filling of the flat band can give rise to…

Strongly Correlated Electrons · Physics 2011-06-07 Evelyn Tang , Jia-Wei Mei , Xiao-Gang Wen

We investigate the effect of long-range Coulomb interaction on the two-electron scattering in the integer quantum Hall regime at bulk filling factor 2. A parallel version of the Split-Step Fourier method evolves the exact two-particle wave…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Laura Bellentani , Gaia Forghieri , Paolo Bordone , Andrea Bertoni

We show that a weak hexagonal periodic potential could transform a two-dimensional electron gas with an even-denominator magnetic filling factor to a quantum anomalous Hall insulator of composite fermions, giving rise to fractionally…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Yinhan Zhang , Junren Shi

Effects of spontaneous parity breaking by charge, spin, and orbital orders are investigated in a two-band Hubbard model on a honeycomb lattice. This is a minimal model in which the inter-orbital hopping, atomic spin-orbit coupling, and…

Strongly Correlated Electrons · Physics 2014-09-01 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Tunable exciton condensates in two dimensional electron gas systems under strong magnetic field exhibits anomalous Hall transport owing to mutual Coulomb coupling, and have attracted a lot of research activity. Here, we explore another…

Strongly Correlated Electrons · Physics 2020-05-28 Tian-Sheng Zeng , D. N. Sheng , W. Zhu
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