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It has been recently established that optoelectronic and non-linear transport experiments can give direct access to the dipole moment of the Berry curvature in non-magnetic and non-centrosymmetric materials. Thus far, non-vanishing Berry…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Raffaele Battilomo , Niccolo' Scopigno , Carmine Ortix

Topological protection of edge state in quantum spin Hall systems relies only on time-reversal symmetry. Hence, S z conservation on the edge can be relaxed which can have an interferometric manifestation in terms of spin Berry phase.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Vivekananda Adak , Krishanu Roychowdhury , Sourin Das

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Basu , P. Bandyopadhyay

Starting with general semiclassical equations of motion for electrons in the presence of electric and magnetic fields, we extend the Chambers formula to include in addition to a magnetic field, time-dependent electric fields and bands with…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Emmanouil K. Kokkinis , Garry Goldstein , Dmitry Efremov , Joseph J. Betouras

We explore the interplay between Berry curvature and topological properties in single-flavor color superconductors, where quarks form spin-one Cooper pairs. By deriving a new relation, we connect the topological nodal structure of the gap…

Nuclear Theory · Physics 2025-05-27 Noriyuki Sogabe , Yi Yin

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

We compute the intrinsic contributions to the Berry-phase mediated anomalous Hall and Nernst effects in electron- and hole-doped semiconductors in the presence of an in-plane magnetic field as well as Rashba and Dresselhaus spin orbit…

Mesoscale and Nanoscale Physics · Physics 2012-06-18 E. Dumitrescu , Chuanwei Zhang , D. C. Marinescu , Sumanta Tewari

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. M. Haldane

We investigate the persistent spin currents in one- and two-dimensional electron systems with spin-orbit interaction in thermodynamics equilibrium at absolute zero temperature. The persistent spin current is the intrinsic one which is…

Mesoscale and Nanoscale Physics · Physics 2008-03-18 Xiang Zhou , Cheng-Zheng Hu , Zhenyu Zhang , Ling Miao , Xia Wang

Introducing both Berry curvature and chiral anomaly into Landau's Fermi-liquid theory, we construct a topological Fermi-liquid theory, applicable to interacting Weyl metals in the absence of time reversal symmetry. Following the Landau's…

Strongly Correlated Electrons · Physics 2017-05-12 Yong-Soo Jho , Jae-Ho Han , Ki-Seok Kim

The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our…

Strongly Correlated Electrons · Physics 2020-08-27 Zheng-Wei Zuo , Da-wei Kang , Liben Li

We theoretically study the electric current induced by the temporally oscillating magnetic field onto a three-dimensional topological insulator based on the linear response theory. The electric current flows on its surface because of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-23 Tetsuro Habe , Yasuhiro Asano

We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely…

Other Condensed Matter · Physics 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic…

Mesoscale and Nanoscale Physics · Physics 2015-04-01 V. Ya. Demikhovskii , R. V. Turkevich

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

In this paper we demonstrate the possibility of dissipationless spin transport in the chiral d-density wave state, by the sole application of a uniform Zeeman field gradient. The occurrence of these spontaneous spin currents is attributed…

Strongly Correlated Electrons · Physics 2009-05-21 Panagiotis Kotetes , Georgios Varelogiannis

Topological spintronics aims to exploit the spin-momentum locking in the helical surface states of topological insulators for spin-orbit torque devices. We address a fundamental question that still remains unresolved in this context: does…

The Berry connection plays a central role in our description of the geometric phase and topological phenomena. In condensed matter, it describes the parallel transport of Bloch states and acts as an effective "electromagnetic" vector…

Mesoscale and Nanoscale Physics · Physics 2019-01-31 Giandomenico Palumbo , Nathan Goldman

We develop an extension of the Landau Fermi liquid theory to systems of interacting fermions with non-trivial Berry curvature. We propose a kinetic equation and a constitutive relation for the electromagnetic current that together encode…

Strongly Correlated Electrons · Physics 2019-10-01 Jing-Yuan Chen , Dam Thanh Son

As reflection symmetry or space-time inversion symmetry is preserved, with a non-contractible integral loop respecting the symmetry in the Brilliouin zone, Berry phase is quantized in proper basis. Topological nodal lines can be enclosed in…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 C. -K. Chiu , Y. -H. Chan , A. P. Schnyder