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We show that the chiral kagome ice manifold exhibits an anomalous integer quantum Hall effect (IQHE) when coupled to itinerant electrons. Although electron-mediated interactions select a magnetically ordered ground state, the full ice…

Mesoscale and Nanoscale Physics · Physics 2014-12-10 Gia-Wei Chern , Armin Rahmani , Ivar Martin , Cristian D. Batista

The electrical transport properties of a bipolar InAs/GaSb system have been studied in magnetic field. The resistivity oscillates between insulating and metallic behaviour while the quantum Hall effect shows a digital character oscillating…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. J. Nicholas , K. Takashina , M. Lakrimi , B. Kardynal , S. Khym , N. J. Mason , D. M. Symons , D. K. Maude , J. C. Portal

The quantum Hall effect, which exhibits a number of unusual properties, is studied in a gated 1000-nm-thick HgTe film, nominally a three-dimensional system. A weak zero plateau of Hall resistance, accompanied by a relatively small value of…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 M. L. Savchenko , D. A. Kozlov , S. S. Krishtopenko , N. N. Mikhailov , Z. D. Kvon , A. Pimenov , D. Weiss

The zero frequency conductivity ($D_c$), the criterion to distinguish between conductors and insulators is expressed in terms of a geometric phase. $D_c$ is also expressed using the formalism of the modern theory of polarization. The tenet…

Other Condensed Matter · Physics 2013-06-19 Balázs Hetényi

Contrary to common belief, the current emitted by a contact embedded in a two-dimensional electron gas (2DEG) is quantized in the presence of electric and magnetic fields. This observation suggests a simple, clearly defined model for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

The (guiding-center) "Hall viscosity" is a fundamental tensor property of incompressible ``Hall fluids'' exhibiting the fractional quantum Hall effect; it determines the stress induced by a non-uniform electric field, and the intrinsic…

Strongly Correlated Electrons · Physics 2009-06-11 F. D. M. Haldane

Hall effect is detected in organic field-effect transistors, using appropriately shaped rubrene (C42H28) single crystals. It turned out that inverse Hall coefficient, having a positive sign, is close to the amount of electric-field induced…

Materials Science · Physics 2009-11-11 J. Takeya , K. Tsukagoshi , Y. Aoyagi , T. Takenobu , Y. Iwasa

We study three dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where the QSH effect is distinguished by a single $Z_2$ topological invariant, in three dimensions there are 4 invariants…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Liang Fu , C. L. Kane , E. J. Mele

When coordinates are noncommutative, the Hall effect is reinvestigated. The Hall conductivity is expressed with noncommutative parameters, so that in the commutative limit it tends to the conventional result.

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Takashi Okamura , Takesi Saito

Quantum spin Hall insulators (QSHIs), also known as two-dimensional topological insulators, have emerged as an unconventional class of quantum states with insulating bulk and conducting edges originating from nontrivial inverted band…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

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…

Mesoscale and Nanoscale Physics · Physics 2010-07-28 L. Zhang , J. Camacho , H. Cao , Y. P. Chen , M. Khodas , D. Kharzeev , A. Tsvelik , T. Valla , I. A. Zaliznyak

In this work we present a set of microscopic U(1)xU(1) models which realize insulating phases with a quantized Hall conductivity \sigma_{xy}. The models are defined in terms of physical degrees of freedom, and can be realized by local…

Strongly Correlated Electrons · Physics 2015-06-12 Scott D. Geraedts , Olexei I. Motrunich

We investigate numerically the quasiparticle density of states $\varrho(E)$ for a two-dimensional, disordered superconductor in which both time-reversal and spin-rotation symmetry are broken. As a generic single-particle description of this…

Mesoscale and Nanoscale Physics · Physics 2007-06-20 A. Mildenberger , F. Evers , A. D. Mirlin , J. T. Chalker

We consider the Hall effect in a system of weakly coupled Luttinger chains. We obtain the full conductivity tensor in the absence of dissipation along the chains. We show that while the dependence of the Hall and transverse conductivities…

Strongly Correlated Electrons · Physics 2009-10-31 Andrei Lopatin , Antoine Georges , T. Giamarchi

We propose that the observed low density ``insulating'' phase of a 2D semiconductor system, with the carrier density being just below ($n < n_c$) the so-called critical density where the derivative of resistivity changes sign at low…

Strongly Correlated Electrons · Physics 2009-11-10 S. Das Sarma , E. H. Hwang

The effect of quantizing magnetic field on the electron transport is investigated in a two dimensional topological insulator (2D TI) based on a 8 nm (013) HgTe quantum well (QW). The local resistance behavior is indicative of a…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 E. B. Olshanetsky , Z. D. Kvon , G. M. Gusev , N. N. Mikhailov , S. A. Dvoretsky

The celebrated family of the Hall effect plays a fundamental role in modern physics. Starting from the anomalous Hall effect (AHE) and the quantum AHE (QAHE) with broken time-reversal symmetry (TRS) to their spinful generalizations,…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Ya-Jie Wu , Tong Li , Junpeng Hou

The quantum Hall effect is observed in a two-dimensional electron gas formed in millimeter-scale hydrogenated graphene, with a mobility less than 10 $\mathrm{cm^{2}/V\cdot s}$ and corresponding Ioffe-Regel disorder parameter…

Mesoscale and Nanoscale Physics · Physics 2013-04-26 J. Guillemette , S. S. Sabri , B. Wu , K. Bennaceur , P. E. Gaskell , M. Savard , P. L. Lévesque , F. Mahvash , A. Guermoune , M. Siaj , R. Martel , T. Szkopek , G. Gervais

Fundamental topological phenomena in condensed matter physics are associated with a quantized electromagnetic response in units of fundamental constants. Recently, it has been predicted theoretically that the time-reversal invariant…

Strongly Correlated Electrons · Physics 2018-11-26 Joseph Maciejko , Xiao-Liang Qi , H. Dennis Drew , Shou-Cheng Zhang

The quantum valley Hall effect (QVHE) has been observed in a variety of experimental setups, both quantum and classical. While extremely promising for applications, one should be reminded that QVHE is not an exact topological phenomenon and…

Mesoscale and Nanoscale Physics · Physics 2018-10-29 Kai Qian , David J. Apigo , Camelia Prodan , Yafis Barlas , Emil Prodan