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The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

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

Two-dimensional electron systems (2DES) are promising for investigating correlated quantum phenomena. In particular, 2D oxides provide a platform that can host various quantum phases such as quantized Hall effect, superconductivity, or…

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Sina Gholizadeh , Dimitrie Culcer

Turbulent diffuse molecular clouds can exhibit complicated morphologies caused by the interactions among radiation, chemistry, fluids, and fields. We performed full 3D simulations for turbulent diffuse molecular interstellar media,…

Astrophysics of Galaxies · Physics 2024-07-17 Nannan Yue , Lile Wang , Thomas Bisbas , Donghui Quan , Di Li

We review recent theoretical and experimental developments concerning collective spin excitations in two-dimensional electron liquid (2DEL) systems, with particular emphasis on the interplay between many-body and spin-orbit effects, as well…

Mesoscale and Nanoscale Physics · Physics 2019-03-28 Irene D'Amico , Florent Perez , Carsten A. Ullrich

The quantum anomalous Hall effect (QAHE) and magnetic Weyl semimetals (WSMs) are topological states induced by intrinsic magnetic moments and spin-orbit coupling. Their similarity suggests the possibility of achieving the QAHE by…

Strongly Correlated Electrons · Physics 2020-03-26 Lukas Muechler , Enke Liu , Jacob Gayles , Qiunan Xu , Claudia Felser , Yan Sun

We consider the dynamics of two layers of incompressible electrically conducting fluid interacting with the magnetic field, which are confined within a 3D horizontally infinite slab and separated by a free internal interface. We assume that…

Analysis of PDEs · Mathematics 2017-06-22 Yanjin Wang

The twin discoveries of the quantum Hall effect, in the 1980's, and of topological band insulators, in the 2000's, were landmarks in physics that enriched our view of the electronic properties of solids. In a nutshell, these discoveries…

Strongly Correlated Electrons · Physics 2017-05-24 P. A. McClarty , F. Krüger , T. Guidi , S. F. Parker , K. Refson , A. W. Parker , D. Prabakharan , R. Coldea

We investigate topological states of two-dimensional (2D) triangular lattices with multi-orbitals. Tight-binding model calculations of a 2D triangular lattice based on $\emph{p}_{x}$ and \emph{p}_{y} orbitals exhibit very interesting doubly…

Mesoscale and Nanoscale Physics · Physics 2018-03-29 Jiayong Zhang , Bao Zhao , Yang Xue , Tong Zhou , Zhongqin Yang

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

By applying the conventional two-liquid model to the magnetoresistivity tensor, we reveal a record-high carrier mobility for surface states in tetradymite topological insulators ($\sim$ 20000 cm$^2$/Vs) in both bulk crystals and thin flakes…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 M. V. Pugachev , A. E. Borisov , A. V. Shupletsov , V. O. Sakhin , E. F. Kukovitsky , A. Yu. Kuntsevich

A well known semiconductor Cd3As2 has reentered the spotlight due to its unique electronic structure and quantum transport phenomena as a topological Dirac semimetal. For elucidating and controlling its topological quantum state,…

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also…

Strongly Correlated Electrons · Physics 2014-09-16 Shou-Shu Gong , Wei Zhu , D. N. Sheng

We show how a Hall viscosity induced by a magnetic field can be generated in strongly coupled theories with a holographic dual. This is achieved by considering parity-breaking higher derivative terms in the gravity dual. These terms couple…

High Energy Physics - Theory · Physics 2019-10-02 Carlos Hoyos , Francisco Peña-Benitez , Piotr Witkowski

The third-rank tensor of the static spin Hall conductivity is investigated for two-dimensional (2D) topological insulators by electronic structure calculations. Its seeming quantization is numerically demonstrated for highly symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Filipe Matusalem , Lars Matthes , Jürgen Furthmüller , Marcelo Marques , Lara K. Teles , Friedhelm Bechstedt

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

At low temperatures, in very clean two-dimensional (2D) samples the electron mean free path for collisions with static defects and phonons becomes greater than the sample width. Under this condition, the electron transport occurs by…

Mesoscale and Nanoscale Physics · Physics 2016-12-15 P. S. Alekseev

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

Strongly Correlated Electrons · Physics 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi

Multi-$Q$ magnets consist of superposed spin density waves with distinct magnetic modulation vectors, enabling a wide range of magnetic orders depending on their combination. Among them, topologically nontrivial spin textures, such as a…

Strongly Correlated Electrons · Physics 2025-12-12 Satoru Ohgata , Satoru Hayami