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In recent years, there is an increasing interest in transport phenomena that are fundamentally linked to the presence of multiple bands. In this thesis, we develop, discuss, and apply a theory of the electrical conductivity that includes…

Strongly Correlated Electrons · Physics 2021-05-19 Johannes Mitscherling

The response to a magnetic flux is considered of the vacuum state of charged Dirac fermions interacting with a domain wall made of a neutral spinless field in (3+1) dimensions with the fermion mass having a phase variation across the wall.…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Voloshin

The hallmark of a skyrmion crystal (SkX) is the topological Hall effect (THE). In this Article, we predict and explain an unconventional behavior of the topological Hall conductivity in SkXs. In simple terms, the spin texture of the…

Strongly Correlated Electrons · Physics 2017-03-14 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Electrons moving through a noncoplanar magnetic texture acquire a Berry phase, which can be described as an effective magnetic field. This effect is known as the topological Hall effect and has been observed in topological spin textures.…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Tan Dao , Sergey S. Pershoguba , Jiadong Zang

We study quantum Hall effect within the framework of a newly proposed approach, which captures the principal results of some proposals. This can be established by considering a system of particles living on the non-commutative plane in the…

High Energy Physics - Theory · Physics 2008-11-26 Ahmed Jellal , Youssef Khedif

Skyrmions and domain walls are typical spin textures of significant technological relevance to magnetic memory and logic applications, where they are used as carriers of information. The unique topology of skyrmions makes them to display…

Mesoscale and Nanoscale Physics · Physics 2016-08-08 Xiangjun Xing , Philip W. T. Pong , Yan Zhou

Topological Hall effect (THE) is a hallmark of scalar spin chirality, which is found in static skyrmion lattices. Recent theoretical works have shown that scalar spin chirality could also emerge dynamically from thermal spin fluctuations.…

We introduce a topologically distinct skyrmion, termed a spin-flux skyrmion, which shares the same real-space magnetization profile as a conventional skyrmion but differs fundamentally in its underlying topological structure. This…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Sandip Bera , Sajeev John

We study the properties of two dimensional topological spin hall insulators which arise through spontaneous breakdown of spin symmetry in systems that are spin rotation invariant. Such a phase breaks spin rotation but not time reversal…

Mesoscale and Nanoscale Physics · Physics 2011-09-20 Tarun Grover , T. Senthil

We investigate the emergence of topological Hall-like (THE-like) signals in disordered multidomain ferromagnets. Non-monotonic behavior in Hall resistivity, commonly attributed to topological spin textures such as skyrmions, is produced in…

Mesoscale and Nanoscale Physics · Physics 2025-02-28 Houssam Sabri , Benjamin E. Carlson , Sergey S. Pershoguba , Jiadong Zang

When electrons are driven through unconventional magnetic structures, such as skyrmions, they experience emergent electromagnetic fields that originate several Hall effects. Independently, ground state emergent magnetic fields can also lead…

Mesoscale and Nanoscale Physics · Physics 2016-12-23 Manuel dos Santos Dias , Juba Bouaziz , Mohammed Bouhassoune , Stefan Blügel , Samir Lounis

How to detect the skyrmion position is a crucial problem in future skyrmionics since it corresponds to the reading process of information. We propose a method to detect the skyrmion position purely electrically by measuring the Hall…

Mesoscale and Nanoscale Physics · Physics 2016-03-29 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

We propose a phenomenological model that describes counterflow and drag experiments with quantum Hall bilayers in a \nu_T=1 state. We consider the system consisting of statistically distributed areas with local total filling factors…

Strongly Correlated Electrons · Physics 2015-05-18 D. V. Fil , S. I. Shevchenko

In the Hall effect, a voltage drop develops perpendicularly to the current flow in the presence of a magnetic field, leading to a transverse Hall resistance. Recent developments with quantum simulators have unveiled strongly correlated and…

The surface quantum Hall state, magneto-electric phenomena and their connection to axion electrodynamics have been studied intensively for topological insulators. One of the obstacles for observing such effects comes from nonzero…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

We deal with magnetic structures that attain integer and half-integer skyrmion numbers. We model and solve the problem analytically, and show how the solutions appear in materials that engender distinct, very specific physical properties,…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 D. Bazeia , J. G. G. S. Ramos , E. I. B. Rodrigues

We consider the Hall conductivity of two-dimensional non-interacting Bloch electrons when the magnetic flux per unit cell is a rational number $p/q$ where $p$ and $q$ are mutually coprime. We present a counter-example for the naive…

Condensed Matter · Physics 2009-10-22 Masaki Oshikawa

We present a consistent theory of the topological Hall effect (THE) in 2D magnetic systems with disordered array of chiral spin textures, such as magnetic skyrmions. We focus on the scattering regime when the mean-free path of itinerant…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lahderanta

We present microscopic derivations of the one-dimensional low-energy boson effective Hamiltonians of quantum wire and quantum Hall bar systems. The quantum Hall system is distinguished by its spatial separation of oppositely directed…

Condensed Matter · Physics 2009-10-28 U. Zuelicke , A. H. MacDonald

Skyrmions are nanoscale magnetic structures with features promising for future low-power memory or logic devices. In this work, we demonstrate novel scanning techniques based on nitrogen vacancy center magnetometry that simultaneously probe…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Alec Jenkins , Matthew Pelliccione , Guoqiang Yu , Xin Ma , Xiaoqin Li , Kang L. Wang , Ania C. Bleszynski Jayich