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In the single band tight-binding approximation, we consider the transport properties of an electron in a homogeneous static electric field. We show that repeated interactions of the electron with two-level systems in thermal equilibrium…

Mathematical Physics · Physics 2015-05-20 Laurent Bruneau , Stephan De Bievre , Claude-Alain Pillet

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Quantum Hall (QH) states are arguably the most ubiquitous examples of nontrivial topological order, requiring no special symmetry and elegantly characterized by the first Chern number. Their higher dimension generalizations are particularly…

Strongly Correlated Electrons · Physics 2018-10-03 Ching Hua Lee , Yuzhu Wang , Youjian Chen , Xiao Zhang

Semiclassical spin-coherent kinetic equations can be derived from quantum theory with many different approaches (Liouville equation based approaches, nonequilibrium Green's functions techniques, etc.). The collision integrals turn out to be…

Mesoscale and Nanoscale Physics · Physics 2013-06-24 Janik Kailasvuori , Matthias C. Lüffe

Traditional theories of electron transport in crystals are based on the Boltzmann equation and do not capture physics arising from quantum coherence. We introduce a transport formalism based on ''orbital Wigner functions'', which accurately…

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

The electromagnetic characteristics of bilayer quantum Hall systems in the presence of interlayer coherence and tunneling are studied by means of a pseudospin-texture effective theory and an algebraic framework of the single-mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Shizuya

Conductivity in a multiband system can be divided into intra- and interband contributions, and the latter further into symmetric and antisymmetric parts. In a flat band, intraband conductivity vanishes and the antisymmetric interband…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Kukka-Emilia Huhtinen , Päivi Törmä

Coherent state path integrals are applied to a many-body problem for non-relativistic electrons in a central potential and an external magnetic field; however, in comparison to previous coherent state path integrals, we definitely fix the…

Statistical Mechanics · Physics 2009-06-16 Bernhard Mieck

We argue that all anomalous transport properties of coherent quantum quantum Hall bilayers can be understood in terms of a mean-field transport theory in which the condensate phase is nearly uniform across the sample, and the strength of…

Mesoscale and Nanoscale Physics · Physics 2014-11-04 I. Sodemann , H. Chen , A. H. MacDonald

Superconductivity and Bloch band Berry curvature responses represent two distinct paradigms of quantum coherent phenomena. The former relies on the collective motion of a many-body state while the latter proceeds from the momentum-space…

Superconductivity · Physics 2024-10-30 Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 M. Mehraeen

We study quantum dynamics of wave packet motion of Bloch electrons in quantum networks with the tight-binding approach for different types of nearest-neighbor interactions. For various geometrical configurations, these networks can function…

Quantum Physics · Physics 2011-11-09 S. Yang , Z. Song , C. P. Sun

In the field of high-order harmonic generation from solids, the electron motion typically exceeds the edge of the first Brillouin zone. In conventional nonlinear optics, on the other hand, the excursion of band electrons is negligible.…

Optics · Physics 2022-12-28 Jan Reislöhner , Doyeong Kim , Ihar Babushkin , Adrian N. Pfeiffer

Starting from the density-matrix equation of motion, we derive a semiclassical kinetic equation for a general two-band electronic Hamiltonian, systematically including quantum-mechanical corrections up to second order in space-time…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Clement H. Wong , Yaroslav Tserkovnyak

We investigate the optical response properties of three-dimensional Luttinger semimetals with the Fermi energy close to a quadratic band touching point. In particular, in order to address recent experiments on the spectroscopy of Pyrochlore…

Strongly Correlated Electrons · Physics 2019-04-03 Igor Boettcher

We investigate the possibility and stability of bandferromagnetism in the single-band Hubbard model. This model poses a highly non-trivial many-body problem the general solution of which has not been found up to now. Approximations are…

Strongly Correlated Electrons · Physics 2007-05-23 W. Nolting , M. Potthoff , T. Herrmann , T. Wegner

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

The most fundamental approach to an understanding of electronic, optical, and transport phenomena which the condensed matter physics (of conventional as well as nonconventional systems) offers is generally founded on two experiments: the…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Manvir S. Kushwaha

The semiclassical equations of motion are widely used to describe carrier transport in conducting materials. Nevertheless, the substantial challenge of incorporating disorder systematically into the semiclassical model persists, leading to…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Rhonald Burgos Atencia , Qian Niu , Dimitrie Culcer