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Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature…

Materials Science · Physics 2015-09-23 Steve M. Young , Charles L. Kane

We consider the minimal coupling of a thin film Dirac semimetal Hamiltonian to a generic spin-texture. A simple unitary transformation gauges away the spatial dependence in the exchange term, leading to the generation of effective…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Pritam Chatterjee , Anirudha Menon

It is shown that conductance fluctuations due to phase coherent ballistic transport through a chaotic cavity generically are fractals. The graph of conductance vs. externally changed parameter, e.g. magnetic field, is a fractal with…

Condensed Matter · Physics 2009-10-28 Roland Ketzmerick

The band structure of graphene ribbons with zigzag edges have two valleys well separated in momentum space, related to the two Dirac points of the graphene spectrum. The propagating modes in each valley contain a single chiral mode…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Katsunori Wakabayashi , Yositake Takane , Manfred Sigrist

We study conductance fluctuations (CF) and the sensitivity of the conductance to the motion of a single scatterer in two-dimensional massless Dirac systems. Our extensive numerical study finds limits to the predicted universal value of CF.…

Mesoscale and Nanoscale Physics · Physics 2013-04-29 Mario F. Borunda , Jesse Berezovsky , Robert M. Westervelt , Eric J. Heller

Clean topological insulators exposed to a magnetic field develop Landau levels accompanied by a nonzero Hall conductivity for the infinite slab geometry. In this work we consider the case of disordered topological insulator nanowires and…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Emmanouil Xypakis , Jens H. Bardarson

We study the effect of superconducting fluctuations on the longitudinal and the transverse (Hall) conductivity in homogeneously disordered films. Our calculation is based on the Usadel equation in the real-time formulation. We adjust this…

Superconductivity · Physics 2012-05-29 Konstantin S. Tikhonov , Georg Schwiete , Alexander M. Finkel'stein

We study the conductance fluctuation in topological semimetals. Through statistic distribution of energy levels of topological semimetals, we determine the dominant parameters of universal conductance fluctuation (UCF), i.e., the number of…

Disordered Systems and Neural Networks · Physics 2017-10-25 Yayun Hu , Haiwen Liu , Hua Jiang , X. C. Xie

The conductance of a quantum wire with off-diagonal disorder that preserves a sublattice symmetry (the random hopping problem with chiral symmetry) is considered. Transport at the band center is anomalous relative to the standard problem of…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christopher Mudry , P. W. Brouwer , Akira Furusaki

We consider the bilocal conductivity tensor, the two-probe conductance and its fluctuations for a disordered phase-coherent two-dimensional system of non-interacting electrons in the presence of a magnetic field, including correctly the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Shanhui Xiong , N. Read , A. Douglas Stone

As devices to control spin currents using the spin-orbit interaction are proposed and implemented, it is important to understand the fluctuations that spin-orbit coupling can impose on transmission through a quantum dot. Using random matrix…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Jacob J. Krich

We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary…

Superconductivity · Physics 2016-11-16 F. S. Bergeret , I. V. Tokatly

Concept of the topological order is useful to characterize anisotropic superconductivities. The spin Hall conductance distinguishes superconductivities with the same symmetry. The Chern number for the spin Hall conductance is given by the…

Superconductivity · Physics 2009-11-10 Y. Hatsugai , S. Ryu

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrated that the main contribution to the spin Hall conductivity is given by the spin Chern number whether the…

Mathematical Physics · Physics 2016-06-14 Ömer F. Dayi , Elif Yunt

The anomalous spin Hall conductivity in the holographic model of Dirac semimetals with two Dirac nodes protected by the crystal symmetry has been elaborated. Such system besides the chiral anomaly possesses another anomaly which is related…

High Energy Physics - Theory · Physics 2021-10-19 Bartłomiej Kiczek , Marek Rogatko , Karol I. Wysokiński

Topologically ordered states, such as chiral spin liquids, have been proposed as candidates that host fractionalized excitations. However, detecting chiral character or proximity to these non-trivial states remains a challenge. Resonant…

Strongly Correlated Electrons · Physics 2025-09-23 Kuan H. Hsu , Chunjing Jia , Emily Z. Zhang , Daniel Jost , Brian Moritz , Rudi Hackl , Thomas P. Devereaux

Fluctuating Cooper pairs formed by spatially separated electrons and holes are precursors of their equilibrium condensation. Their presence strongly impacts transport phenomena and interlayer tunneling in double-layer systems above the…

Superconductivity · Physics 2022-01-04 Dmitry K. Efimkin

Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

Disordered Systems and Neural Networks · Physics 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

Topological magnetic insulators host chiral gapless edge modes. In the presence of strong interaction effects, the spin of these modes may fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we show how spatially…

Strongly Correlated Electrons · Physics 2025-01-03 Even Thingstad , Pierre Fromholz , Flavio Ronetti , Daniel Loss , Jelena Klinovaja