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The absorption coefficient for surface acoustic wave $\Gamma$ and variation in the wave velocity $\Delta V/V$ were measured in GaAs/AlGaAs heterostructures; the above quantities are related to interaction of the wave with two-dimensional…

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

An analytic form for the conductivity tensor in crossover between two quantum Hall plateaux is derived, which appears to be in good agreement with existing experimental data. The derivation relies on an assumed symmetry between quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Brian P. Dolan

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

We investigate quantum dynamics and kinetics of a 2D conductor with closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the…

Strongly Correlated Electrons · Physics 2021-10-28 A. M. Kadigrobov , B. Keran , D. Radić

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

The Seebeck coefficient and electrical conductivity are two critical quantities to optimize simultaneously in designing thermoelectric materials, and they are determined by the dynamics of carrier scattering. We uncover a new regime where…

Materials Science · Physics 2022-11-17 Natalya S. Fedorova , Andrea Cepellotti , Boris Kozinsky

The object of the present work is to study the quantum Hall effect through its symmetries and topological aspects. We consider the model of an electron moving in a two-dimensional lattice in the presence of applied in-plain electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Kunold , M. Torres

We study the interaction-induced quantum correction \delta\sigma_{\alpha\beta} to the conductivity tensor of electrons in two dimensions for arbitrary T\tau (where T is the temperature and \tau the transport scattering time), magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin

In studying compensated semimetals, the two-band model has proven extremely useful in capturing electrical conductivity under magnetic field, as a function of density and mobility of electron-like and hole-like carriers. However, it rarely…

Strongly Correlated Electrons · Physics 2025-04-29 Ian Leahy , Andrew Treglia , Gang Cao , Brian Skinner , Minhyea Lee

Symmetry is a cornerstone of condensed matter physics, fundamentally shaping the behavior of electronic systems and inducing the emergence of novel phenomena. The Hall effect, a key concept in this field, demonstrates how symmetry breaking,…

Mesoscale and Nanoscale Physics · Physics 2025-04-29 Shuo Wang , Wei Niu , Yue-Wen Fang

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

Drude weight, historically associated with the longitudinal Drude conductivity, can be generalized to describe the transverse or Hall component of the extrinsic conductivity tensor. In particular, transverse Drude weights, such as band…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Miaomiao Wei , Longjun Xiang , Fuming Xu , Baigeng Wang , Jian Wang

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal

Numerical evidence for superconductivity in the single-band Hubbard model is elusive or ambiguous despite extensive study, raising the question of whether the single-band Hubbard model is a faithful low energy effective model for cuprates,…

Strongly Correlated Electrons · Physics 2026-01-13 Sijia Zhao , Rong Zhang , Wen O. Wang , Jixun K. Ding , Tianyi Liu , Brian Moritz , Edwin W. Huang , Thomas P. Devereaux

Ambipolar transport is a commonly occurring theme in semimetals and semiconductors. Here we present an analytical formulation of the conductivity for a two-band system. Electron and hole carrier densities and their respective conductivities…

Interband effects such as coherence/tunneling have recently been shown to give an important contribution to the charge and heat transport properties under certain conditions. These can be captured by adding corrective terms to the…

Materials Science · Physics 2025-12-05 Elena Trukhan , Nakib H. Protik

I present a theory of electron dynamics in semiconductors with slowly varying composition. I show that the frequency-dependent conductivity, required for the description of transport and optical properties, can be obtained from a knowledge…

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

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

We reexamine the charge transport induced by a weak electric field in two-dimensional quantum Hall systems in a finite, periodic box at very low temperatures. The resulting linear response coefficients consist of the time-independent term…

Mathematical Physics · Physics 2007-05-23 Tohru Koma