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In this article, we investigate the effects of the interplay between quadratic and cubic nonlinearities on the propagation of elastic waves in periodic waveguides. Through this framework, we unveil an array of wave control strategies that…

Pattern Formation and Solitons · Physics 2019-05-31 Weijian Jiao , Stefano Gonella

We propose to realize the quantum nonlinear Hall effect and the inverse Faraday effect through the acoustic wave in a time-reversal invariant but inversion broken Dirac insulator. We focus on the acoustic frequency much lower than the Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ying Su , Alexander V. Balatsky , Shi-Zeng Lin

Magnetic impurities in three-dimensional Dirac and Weyl systems are shown to exhibit a fascinatingly diverse range of Kondo physics, with distinctive experimental spectroscopic signatures. When the Fermi level is precisely at the Dirac…

Strongly Correlated Electrons · Physics 2015-09-22 Andrew K. Mitchell , Lars Fritz

Fractional Dirac materials (FDMs) feature a fractional energy-momentum relation $E(\vec{k}) \sim |\vec{k}|^{\alpha}$, where $\alpha \; (<1)$ is a real noninteger number, in contrast to that in conventional Dirac materials with $\alpha=1$.…

Strongly Correlated Electrons · Physics 2023-07-11 Bitan Roy , Vladimir Juricic

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

The nonlinear transport regime is manifested in the nonlinear current-voltage characteristic of the system. An example of such a nonlinear regime is a setup in which current is injected into the sample and the measured voltage drop is…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 Dmitry V. Chichinadze

Topological edge states in Chern insulators are typically characterized by a linear dispersion relation inherited from the Dirac structure of the bulk Hamiltonian. Here we show that this paradigm can be fundamentally altered in systems with…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Marta García Olmos , David Martín Tejedor , Mario Amado , Yuriko Baba , Rafael A. Molina

We numerically study weak, random, spatial velocity modulation ["quenched gravitational disorder" (QGD)] in two-dimensional massless Dirac materials. QGD couples to the spatial components of the stress tensor; the gauge-invariant disorder…

Disordered Systems and Neural Networks · Physics 2020-06-26 Sayed Ali Akbar Ghorashi , Jonas F. Karcher , Seth M. Davis , Matthew S. Foster

Combining scattering matrix theory with non-linear $\sigma$-model and Keldysh technique we develop a unified theoretical approach enabling one to non-perturbatively study the effect of electron-electron interactions on weak localization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Dmitri S. Golubev , Andrew G. Semenov , Andrei D. Zaikin

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

A three-dimensional weak topological insulator (WTI) can be regarded as stacked layers of two-dimensional quantum spin-Hall insulators, each of which accommodates a one-dimensional helical edge mode. Massless Dirac electrons emerge on a…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Takashi Arita , Yositake Takane

Surfaces of topological insulators host a new class of states with Dirac dispersion and helical spin texture. Potential quantum computing and spintronic applications using these states require manipulation of their electronic properties at…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Haim Beidenkopf , Pedram Roushan , Jungpil Seo , Lindsay Gorman , Ilya Drozdov , Yew San Hor , R. J. Cava , Ali Yazdani

Topological semimetals have been at the forefront of experimental and theoretical attention in condensed matter physics. Among these, recently discovered Weyl semimetals have a dispersion described by a three-dimensional Dirac cone, which…

Mesoscale and Nanoscale Physics · Physics 2017-07-31 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer

We study the weak localization effect in quantum transport through a clean ballistic cavity with regular classical dynamics. We address the question which paths account for the suppression of conductance through a system where disorder and…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Iva Brezinova , Christoph Stampfer , Ludger Wirtz , Stefan Rotter , Joachim Burgdorfer

Motivated by recent experiments realizing correlated phenomena and superconductivity in 2D van der Waals devices, we consider the general problem of whether correlation effects may be enhanced by modifying band structure while keeping a…

Strongly Correlated Electrons · Physics 2019-06-19 Edwin W. Huang , Mohammad-Sadegh Vaezi , Zohar Nussinov , Abolhassan Vaezi

In light of recent proposals to realize a topological superconductor on the surface of strong topological insulators, we study impurity and vortex scattering in two dimensional topological superconductivity. We develop a theory of…

Superconductivity · Physics 2015-04-21 Aaron Farrell , Maxime Beaudry , M. Franz , T. Pereg-Barnea

We obtain the conductance of a system of electrons connected to leads, within time-dependent density-functional theory, using a direct relation between the conductance and the density response function. Corrections to the non-interacting…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

It has been recently established that transport measurements in the nonlinear regime can give direct access to the quantum metric (QM): the real part of the quantum geometric tensor characterizing the geometry of the electronic…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Maria Teresa Mercaldo , Mario Cuoco , Carmine Ortix

We study the response of a Dirac fluid to electric fields and thermal gradients at finite wave-numbers and frequencies in the hydrodynamic regime. We find that non-local transport in the hydrodynamic regime is governed by infinite set of…

Strongly Correlated Electrons · Physics 2021-01-05 Egor I. Kiselev , Joerg Schmalian

We study quantum coherence of elastically scattered lattice fermions. We calculate vertex corrections to the electrical conductivity of electrons scattered either on thermally equilibrated or statically distributed random impurities. We…

Strongly Correlated Electrons · Physics 2010-12-17 V. Janis , V. Pokorny
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