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The high-order Hall effects, which go beyond the ordinary, unlock more possibilities of electronic transport properties and functionalities. Pioneer works focus on the manufacture of complex nanostructures with low lattice symmetry to…

Mesoscale and Nanoscale Physics · Physics 2024-04-05 Botsz Huang , You-Ting Huang , Jan-Chi Yang , Tse-Ming Chen , Ali G. Moghaddam , Ching-Hao Chang

The spectral approach to infinite disordered crystals is applied to an Anderson-type Hamiltonian to demonstrate the existence of extended states for nonzero disorder in 2D lattices of different geometries. The numerical simulations shown…

Disordered Systems and Neural Networks · Physics 2017-12-13 E G Kostadinova , K Busse , N Ellis , J Padgett , C D Liaw , L S Matthews , T W Hyde

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

We have studied the breakdown of the integer quantum Hall (QH) effect with fully broken symmetry, in an ultra-high mobility graphene device sandwiched between two single crystal hexagonal boron nitride substrates. The evolution and…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Shibing Tian , Pengjie Wang , Xin Liu , Junbo Zhu , Hailong Fu , Takashi Taniguch , Kenji Watanabe , Jian-Hao Chen , Xi Lin

One of the most celebrated accomplishments of modern physics is the description of fundamental principles of nature in the language of geometry. As the motion of celestial bodies is governed by the geometry of spacetime, the motion of…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Tianyu Liu , Xiao-Bin Qiang , Hai-Zhou Lu , X. C. Xie

We establish a universal theory to understand quasiparticle Hall effects and transverse charge-carrier transport in organic semiconductors. The simulations are applied to organic crystals inspired by rubrene and cover multiple transport…

Materials Science · Physics 2024-08-21 Michel Panhans , Frank Ortmann

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

Irreversible transport is generally attributed to vorticity, nonlinear forcing, or explicit symmetry breaking. We show that it can arise even in strictly time-periodic and locally irrotational flows through a purely geometric mechanism. By…

Fluid Dynamics · Physics 2026-03-26 Mounir Kassmi

Many of the most exciting materials discoveries in fundamental condensed matter physics are made in systems hosting some degree of intrinsic disorder. While disorder has historically been regarded as something to be avoided in materials…

Strongly Correlated Electrons · Physics 2024-06-19 A. R. Mazza , J. Yan , S. Middey , J. S. Gardner , A. -H. Chen , M. Brahlek , T. Z. Ward

Using the path-integral formalism, we show that photons possess a nontrivial quantum metric in momentum space. We derive the semiclassical action and equations of motion by taking into account the quantum metric. In media with a spatially…

High Energy Physics - Theory · Physics 2026-05-01 Keidai Akiba , Naoki Yamamoto

Wave transport in disordered media is a fundamental problem with direct implications in condensed matter, materials science, optics, atomic physics, and even biology. The majority of studies are focused on Hermitian systems to understand…

Disordered Systems and Neural Networks · Physics 2025-03-12 I. Komis , K. G. Makris , K. Busch , R. El-Ganainy

The anomalous Hall conductivity in the nodal line semimetals (NLSMs) due to the presence of a symmetry-protected nodal ring adds complexity in the investigation of their transport properties. By employing quantum kinetic theory and…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Vivek Pandey , Pankaj Bhalla

The procedure to find gauge invariant variables for two-parameter nonlinear perturbations in general relativity is considered. For each order metric perturbation, we define the variable which is defined by the appropriate combination with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

Transport measurements are a powerful way to probe the electronic structure of quantum materials, but the information they contain is often convoluted. Yet, in particular for simple low-energy fermiologies, and by combining linear and…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Andrea Kouta Dagnino , Xiaoxiong Liu , Titus Neupert

We study the conductance of chaotic or disordered wires in a situation where equilibrium transport decomposes into biased diffusion and a counter-moving regular current. A possible realization is a semiconductor nanostructure with…

Chaotic Dynamics · Physics 2007-05-23 Manamohan Prusty , Holger Schanz

The second-order nonlinear current originates from three physical mechanisms: extrinsic nonlinear Drude and Berry curvature dipole and intrinsic Berry connection polarizability. Here, we predict a new intrinsic contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Kamal Das , Shibalik Lahiri , Rhonald Burgos Atencia , Dimitrie Culcer , Amit Agarwal

Studies of the 3D quantum Hall effect (QHE) have primarily emphasized transport features that mimic the well-established 2D QHE. In this work, we show that qualitatively new features arise when an in-plane magnetic field is applied to a 3D…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Ming Lu , Xiao-Xiao Zhang

Diffuse scattering of light from disordered assemblies is traditionally viewed as an uncontrollable broadband scattering background resulting in whitish hues. Here, we demonstrate that correlated disorder enables precise engineering of…

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

Quantum decoherence-the loss of quantum coherence due to interactions with an environment-plays a central role in quantum transport, and controlling this ubiquitous yet inevitable phenomenon is essential for practical quantum technologies.…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Xian-Peng Zhang , Yan-Qing Feng , Wanxiang Feng , Yugui Yao