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In a Dirac semimetal, the massless Dirac fermion has zero chirality, leading to surface states connected adiabatically to a topologically trivial surface state as well as vanishing anomalous Hall effect (AHE). Recently, it is predicted that…

The spin Hall effect of a Dirac Hamiltonian system is studied using semiclassical analyses and the Kubo formula. In this system, the spin Hall conductivity is dependent on the definition of spin current. All components of the spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Zhendong Chi , Guanxiong Qu , Yong-Chang Lau , Masashi Kawaguchi , Junji Fujimoto , Koki Takanashi , Masao Ogata , Masamitsu Hayashi

We consider the system of relativistic rotating fermions in the presence of rotation. The rotation is set up as an enhancement of the angular momentum. In this approach the angular velocity for the angular momentum plays the same role as…

High Energy Physics - Phenomenology · Physics 2018-10-24 Ruslan Abramchuk , Z. V. Khaidukov , M. A. Zubkov

It is proposed that the new generation of spintronics should be ideally massless and dissipationless for the realization of ultra-fast and ultra-low-power spintronic devices. We demonstrate that the spin-gapless materials with linear energy…

Mesoscale and Nanoscale Physics · Physics 2017-02-14 Xiao-lin Wang

Due to the spin-orbit coupling, Dirac fermions, submerged in a thermal bath with finite macroscopic vorticity, exhibit a spin polarisation along the direction parallel to the vorticity vector $\boldsymbol{\Omega}$. Due to the symmetries of…

High Energy Physics - Theory · Physics 2025-02-17 Sergio Morales-Tejera , Victor E. Ambruş , Maxim N. Chernodub

Recently, it has been proposed a spacetime noncommutativity that involves spin degrees of freedom, here called "spin noncommutativity". One of the motivations for such a construction is that it preserves Lorentz invariance, which is…

High Energy Physics - Theory · Physics 2015-06-05 A. F. Ferrari , M. Gomes , V. G. Kupriyanov , C. A. Stechhahn

The low energy quasiparticle dispersion of various narrow gap and gapless semiconductors are respectively described by three dimensional massive and massless Dirac fermions. The three dimensional Dirac spinor structure admits a…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Pallab Goswami , Bitan Roy

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene M. Chudnovsky

A semiclassical theory of spin dynamics and transport is formulated using the Dirac electron model. This is done by constructing a wavepacket from the positive-energy electron band, and studying its structure and center of mass motion. The…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Chih-Piao Chuu , Ming-Che Chang , Qian Niu

Emergence of ferromagnetism in non-magnetic semiconductors is strongly desirable, especially in topological materials thanks to the possibility to achieve quantum anomalous Hall effect. Based on first-principles calculations, we propose…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Huixia Fu , Zheng Liu , Chao Lian , Jin Zhang , Hui Li , Jia-Tao Sun , Sheng Meng

The transport properties of massless fermions in $3+1$ spacetime dimension have been in the focus of recent theoretical and experimental research. New transport properties appear as consequences of chiral anomalies. The most prominent is…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Karl Landsteiner , Yan Liu

We revisit a theory of skyrmion transport in ferromagnets. On a basis of an effective U(1) gauge theory for spin-chirality fluctuations in double-exchange ferromagnets, we derive an expression for the velocity of a skyrmion core driven by…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 Ki-Seok Kim , Shigeki Onoda

Domain walls in three-dimensional Weyl semimetals, formed by localized magnetic moments, are investigated. There appear bound states around the domain wall with the discrete spectrum, among which we find "Fermi arc" states with the linear…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yasufumi Araki , Akihide Yoshida , Kentaro Nomura

Charge-based field-effect transistors (FETs) greatly suffer from unavoidable carrier scattering and heat dissipation. In analogy to valley degree of freedom in semiconductors, chiral anomaly current in Weyl/Dirac semimetals is theoretically…

Applied Physics · Physics 2021-03-02 Jiewei Chen , Ting Zhang , Jingli Wang , Ning Zhang , Wei Ji , Shuyun Zhou , Yang Chai

We demonstrate that in metals, both normal and superconducting, orbital currents present in the ground state when time reversal symmetry (TRS) is broken, generate spin chirality. Nonzero chirality can emerge in the absence of any…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Archisman Panigrahi , Vladislav Poliakov , Zhiyu Dong , Leonid Levitov

We study fermions derivatively coupled to axion-like or pseudoscalar fields, and show that the axial vector current of the fermions is not conserved in the limit where the fermion is massless. This apparent violation of the classical chiral…

High Energy Physics - Theory · Physics 2022-08-24 Peter Adshead , Kaloian D. Lozanov

The scale (conformal) anomaly can generate an electric current near the boundary of a system in the presence of a static magnetic field. The magnitude of this magnetization current, produced at zero temperature and in the absence of matter,…

High Energy Physics - Lattice · Physics 2023-08-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov

We derive boundary conditions for the electrically induced spin accumulation in a finite, disordered 2D semiconductor channel. While for DC electric fields these boundary conditions select spatially constant spin profiles equivalent to a…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Mathias Duckheim , Dmitrii L. Maslov , Daniel Loss

We theoretically demonstrate that class-I topological Dirac semimetals (TDSMs) can provide a platform for realizing both electrically and magnetically tunable spin-charge conversion. With time-reversal symmetry, the spin component along the…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 Rui-Hao Li , Pengtao Shen , Steven S. -L. Zhang

We consider properties of a two-dimensional electron system in a random magnetic field. It is assumed that the magnetic field not only influences orbital electron motion but also acts on the electron spin. For calculations, we suggest a new…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Kazutaka Takahashi , K. B. Efetov