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We constructed a Hall resistance formula for the fractional quantum Hall effect by analyzing the experimental data reported in [J. P. Eisenstein and H. L. Stormer, {Science} {\bf 248}, 1510 (1990)]. The formula is given as a function of…

Mesoscale and Nanoscale Physics · Physics 2018-01-15 Tadashi Toyoda

We show the realization of axion electrodynamics within the Dual Chiral Density Wave phase of dense quark matter in the presence of a magnetic field. The system exhibits an anomalous dissipantionless Hall current perpendicular to the…

Nuclear Theory · Physics 2017-04-05 E. J. Ferrer , V. de la Incera

Fluctuations of the Hall voltage reveal information about long wavelength magnetic field fluctuations. If gauge theories of strongly correlated electrons are correct, such fluctuations are particularly large in the half-filled Landau level…

Condensed Matter · Physics 2009-10-28 L. B. Ioffe , G. B. Lesovik , A. J. Millis

It is widely believed that integer quantum Hall systems do not have fractional excitations. Here we show the converse to be true for a class of systems where integer quantum Hall effect emerges spontaneously due to the interplay of…

Strongly Correlated Electrons · Physics 2012-08-03 Rodrigo A. Muniz , Armin Rahmani , Ivar Martin

The quantum statistics of bosons or fermions are manifest through even or odd relative angular momentum of a pair. We show theoretically that, under certain conditions, a pair of certain test particles immersed in a fractional quantum Hall…

Quantum Gases · Physics 2014-10-22 Yuhe Zhang , G. J. Sreejith , N. D. Gemelke , J. K. Jain

It is shown that the presence of matrix dipole moments induced by external electric fields can modify the Hall response in two dimensional Topological insulators. In the case of the Quantum Anomalous Hall effect the induced transverse…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alberto Cortijo

The Aharonov-Bohm effect in a one-dimensional (1D) ring containing a gas of fractionally charged excitations is considered. It is shown that the low temperature behavior of the system is identical to that of free electrons with (integer)…

Condensed Matter · Physics 2016-08-15 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

The thermal Hall conductance is a universal and topological property which characterizes the fractional quantum Hall (FQH) state. The quantized value of the thermal Hall conductance has only recently been measured experimentally in integer…

Strongly Correlated Electrons · Physics 2019-04-22 Amit Aharon-Steinberg , Yuval Oreg , Ady Stern

We introduce and study the Wannier functions for an electron moving in a plane under the influence of a perpendicular uniform and constant magnetic field. The relevance for the Fractional Quantum Hall Effect is discussed; in particular it…

Condensed Matter · Physics 2015-06-25 R. Ferrari

The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems,…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Zlatko Papić , Ajit C. Balram

In this letter the fractional fermion number of thick domain walls is computed. The analysis is achieved by developing the heat kernel expansion of the spectral eta functon of the Dirac Hamiltonian governing the fermionic fluctuations…

High Energy Physics - Theory · Physics 2019-09-16 J. Mateos Guilarte , Dmitri Vassilevich

Solid understanding of current induced torques is key to the development of current and voltage controlled magnetization dynamics in ultrathin magnetic heterostructures. A versatile technique is needed to evaluate such torques in various…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Masamitsu Hayashi

We study thermodynamic properties of the QCD vacuum in a magnetic field below chiral phase transition. The hadronic phase free energy in a constant homogeneous magnetic field is calculated in the framework of the chiral perturbation theory…

High Energy Physics - Phenomenology · Physics 2009-11-07 Nikita O. Agasian

Bilayer quantum Hall states support a flow of nearly dissipationless staggered current which can only decay through collective channels. We study the dominant finite-temperature dissipation mechanism which in narrow bars is driven by…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Leo Radzihovsky

The anomalous Hall effect in type-II conventional and high-Tc superconductors is investigated based on the proposed novel theory of the thermally activated motion of vortex bundles over a directional-dependent energy barrier. Our…

Superconductivity · Physics 2007-05-23 Wei Yeu Chen , Ming Ju Chou

Two well-known Hall-like effects are occurring in ferromagnets: the Anomalous Hall effect and the Planar Hall effect. The former is analogous to the classical Hall effect and is defined by the Onsager reciprocity relation of the second kind…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Jean-Eric Wegrowe , Luqian Zhou , Sariah Al Saati

We present a general theory for the equilibrium current distribution in an interacting two-dimensional electron gas subjected to a perpendicular magnetic field, and confined by a potential that varies slowly on the scale of the magnetic…

Condensed Matter · Physics 2016-08-31 Michael R. Geller , Giovanni Vignale

The Hall effects comprise one of the oldest but most vital fields in condensed matter physics, and they persistently inspire new findings, such as quantum Hall effects and topological phases of matter. The recently discovered nonlinear Hall…

Mesoscale and Nanoscale Physics · Physics 2021-09-09 Z. Z. Du , Hai-Zhou Lu , X. C. Xie

While microscopic laws of physics are invariant under the reversal of the arrow of time, the transport of energy and information in most devices is an irreversible process. It is this irreversibility that leads to intrinsic dissipations in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami , Naoto Nagaosa , Shou-Cheng Zhang

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang