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We study the influence of nonuniform magnetic fields on the magneto conductance of mesoscopic microstructures. We show that the coupling of the electron spin to the inhomogenous field gives rise to effects of the Berry phase on ballistic…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Diego Frustaglia , Klaus Richter

Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Fan Yang , Ren-Bao Liu

We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann equation, provides a framework for studying transport problems…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

We report on experimental evidence of the Berry phase accumulated by the charge carrier wave function in single-domain nanowires made from a (Ga,Mn)(As,P) diluted ferromagnetic semiconductor layer. Its signature on the mesoscopic transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 M. Granada , D. Lucot , R. Giraud , A. Lemaître , C. Ulysse , X. Waintal , G. Faini

In Weyl semi-metals, the conduction and valence bands intersect at distinct points on the Brillouin zone (Weyl points), which act as monopoles of Berry curvature in momentum space. This nontrivial band topology, identified from electronic…

Materials Science · Physics 2025-03-28 Tamal Kumar Dalui , Hari Paudyal , Durga Paudyal , Ramesh C Budhani

We study Berry phase effects on conductance properties of diffusive mesoscopic conductors, which are caused by an electron spin moving through an orientationally inhomogeneous magnetic field. Extending previous work, we start with an exact,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hans-Andreas Engel , Daniel Loss

We propose the semiclassical quantization for complicated electron systems governed by a many-band Hamiltonian. An explicit analytical expression of the corresponding Berry phase is derived. This impact allows us to evaluate the Landau…

Mesoscale and Nanoscale Physics · Physics 2012-03-02 A. Yu. Ozerin , L. A. Falkovsky

We explore the transport properties of a periodically modulated $\alpha$-$\mathcal{T}_3$ lattice in the presence of a perpendicular magnetic field. The effect of the Berry phase on electrical conductivity oscillation, so-called Weiss…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 SK Firoz Islam , Paramita Dutta

Topological semimetals are three-dimensional topological states of matter, in which the conduction and valence bands touch at a finite number of points, i.e., the Weyl nodes. Topological semimetals host paired monopoles and antimonopoles of…

Mesoscale and Nanoscale Physics · Physics 2016-10-13 Hai-Zhou Lu , Shun-Qing Shen

The paper discusses the Berry phase influence on the weak localization phenomenon at the adiabatic backscattering of ultrarelativistic particles in a random medium. We demonstrate that bosons that pass along a certain closed path in…

Optics · Physics 2007-05-23 K. Yu. Bliokh

We study the magnetoelectric and magnetothermal transport properties of noncentrosymmetric metals using semiclassical Boltzmann transport formalism by incorporating the effects of Berry curvature and orbital magnetic moment. These effects…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

We analyze the magnetoconductance of two-dimensional electron and hole gases (2DEGs) subject to a parallel magnetic field. It is shown that, for confining potential wells which are symmetric with respect to spatial inversion, a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Julia S. Meyer , Alexander Altland , B. L. Altshuler

Modular Berry transport associates a geometric phase to a zero mode ambiguity in a family of modular operators. In holographic settings, this phase was shown to encode nontrivial information about the emergent spacetime geometry. We…

High Energy Physics - Theory · Physics 2025-09-17 Jan de Boer , Bahman Najian , Jeremy van der Heijden , Claire Zukowski

For two-dimensional holographic CFTs, we demonstrate the role of Berry phases for relating the non-factorization of the Hilbert space to the presence of wormholes. The wormholes are characterized by a non-exact symplectic form that gives…

High Energy Physics - Theory · Physics 2022-09-07 Souvik Banerjee , Moritz Dorband , Johanna Erdmenger , René Meyer , Anna-Lena Weigel

We study theoretically the electrical transport of two-dimensional (2D) massive Dirac fermions, which are described by the 2 by 2 massive Dirac Hamiltonian, and with a gap at the charge neutrality point. Through analytical diagrammatical…

Materials Science · Physics 2017-10-31 Ting Zhang , Jie Pan , Ping Sheng

It has been recently found that the equations of motion of several semiclassical systems must take into account anomalous velocity terms arising from Berry phase contributions. Those terms are for instance responsible for the spin Hall…

High Energy Physics - Theory · Physics 2008-12-18 Pierre Gosselin , Alain Berard , Herve Mohrbach

In quantum mechanics, a quantum wavepacket may acquire a geometrical phase as it evolves along a cyclic trajectory in parameter space. In condensed matter systems, the Berry phase plays a crucial role in fundamental phenomena such as the…

Using a microscopic theory for the magnetoconductivity at low magnetic fields we show how the Hall and longitudinal conductivity can be calculated in the low scattering rate limit. In the lowest order of the scattering rate, we recover the…

Mesoscale and Nanoscale Physics · Physics 2021-07-28 Viktor Könye , Masao Ogata

We have derived a new set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry phase and magnetization. This semiclassical approach is…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

In topological semimetals and insulators, negative longitudinal magnetoresistance and angle-dependent planar Hall effect have been reported arising from the Berry curvature. Using the Boltzmann transport theory, we present a closed-form…

Mesoscale and Nanoscale Physics · Physics 2022-05-31 Seungchan Woo , Brett Min , Hongki Min
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