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We comment on the relation between Berry phase and quantized Hall conductivities for charge and spin currents in some Bloch states, such as Bloch electrons in the presence of electromagnetic fields and quasiparticles in the vortex states of…

Superconductivity · Physics 2015-06-24 Jun Goryo , Mahito Kohmoto

We consider Bloch electrons in the presence of the uniform electromagnetic field in two- and three-dimensions. It is renowned that the quantized Hall effect occurs in such systems. We suppose a weak and homogeneous electric field…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

In this paper we propose the quantized spin Hall effect (SHE) in the vortex state of a rotating p-wave paired Fermi system in an inhomogeneous magnetic field and in a weak periodic potential. It is the three dimensional extension of the…

Superconductivity · Physics 2013-05-29 Jun Goryo , Mahito Kohmoto , Yong-Shi Wu

The spin Hall effect is a phenomenon of inducing spin current by an external electric field. We recently proposed that this effect can occur in p-type semiconductors without relying upon any disorder scattering [S. Murakami et al., Science…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Shuichi Murakami

We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force. An elementary derivation of the Berry curvature effect…

Quantum Gases · Physics 2013-07-25 Marco Cominotti , Iacopo Carusotto

We consider the quantum spin hall state in a three orbital model due to certain loop current order induced by spin-dependent interactions. This type of order is motivated by the loop current model which is proposed to describe the pseudogap…

Strongly Correlated Electrons · Physics 2015-06-15 Yan He , Changtao Hou

With exciton lifetime much extended in semiconductor quantum-well structures, their transport and Bose-Einstein condensation become a focus of research in recent years. We reveal a momentum-space gauge field in the exciton center-of-mass…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Wang Yao , Qian Niu

We study quasiparticle dynamics in a Bose-Einstein condensate with a vortex by following the center of mass motion of a Bogoliubov wavepacket, and find important Berry phase effects due to the background flow. We show that Berry phase…

Statistical Mechanics · Physics 2009-11-11 Chuanwei Zhang , Artem M. Dudarev , Qian Niu

We present a theory of quasiparticle Hall transport in strongly type-II superconductors within their vortex state. We establish the existence of integer quantum spin Hall effect in clean unconventional $d_{x^2-y^2}$ superconductors in the…

Superconductivity · Physics 2007-05-23 O. Vafek , A. Melikyan , Z. Tesanovic

We consider the adiabatic evolution of the Dirac equation in order to compute its Berry curvature in momentum space. It is found that the position operator acquires an anomalous contribution due to the non Abelian Berry gauge connection…

High Energy Physics - Theory · Physics 2016-08-16 Alain Bérard , Herve Mohrbach

We have analysed here the equivalence of RVB states with $\nu=1/2$ FQH states in terms of the Berry Phase which is associated with the chiral anomaly in 3+1 dimensions. It is observed that the 3-dimensional spinons and holons are…

Superconductivity · Physics 2009-10-31 B. Basu , D. Pal , P. Bandyopadhyay

The spin Hall effect is investigated in a high mobility two dimensional electron system with the spin-orbital coupling of both the Rashba and the Dresselhaus types. A spin current perpendicular to the electric field is generated by either…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen

When quasiparticles move in condensed matters, the texture of their internal quantum structure as a function of position and momentum can give rise to Berry phases that have profound effects on materials properties. Seminal examples include…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Hongyi Yu , Mingxing Chen , Wang Yao

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

Berry phase in semiconductor quantum dots (QDs) can be induced by moving the dots adiabatically in a closed loop with the application of the distortion potential in the lateral direction. We show that the Berry phase is highly sensitive to…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sanjay Prabhakar , Roderick Melnik , Luis L Bonilla

A notion of the Berry phase is a powerful means to unravel the non-trivial role of topology in various novel phenomena observed in chiral magnetic materials and structures. A celebrated example is the intrinsic anomalous Hall effect (AHE)…

Hot spot of Berry curvature is usually found at Bloch band anti-crossings, where the Hall effect due to the Berry phase can be most pronounced. With small gaps there, the adiabatic limit for the existing formulations of Hall current can be…

Mesoscale and Nanoscale Physics · Physics 2020-04-20 Matisse Wei-Yuan Tu , Ci Li , Hongyi Yu , Wang Yao

Many trial wavefunctions for fractional quantum Hall states in a single Landau level are given by functions called conformal blocks, taken from some conformal field theory. Also, wavefunctions for certain paired states of fermions in two…

Mesoscale and Nanoscale Physics · Physics 2011-09-08 N. Read

The Bogoliubov quasiparticles move in a practically uniform magnetic field in the vortex state of high temperature cuprate superconductors. Do the quasiparticles experience a Lorentz force when set in motion by an externally applied heat…

Superconductivity · Physics 2015-03-16 Vladimir Cvetkovic , Oskar Vafek
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