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The state-of-the-art theoretical description of magnetic materials relies on solving effective Heisenberg spin problems or their generalizations to relativistic or multi-spin-interaction cases that explicitly assume the presence of local…

Strongly Correlated Electrons · Physics 2022-04-27 E. A. Stepanov , S. Brener , V. Harkov , M. I. Katsnelson , A. I. Lichtenstein

We report a detailed magneto-transport study in single crystals of NbP. High quality crystals were grown by vapour transport method. An exceptionally large magnetoresistance is confirmed at low temperature which is non-saturating and is…

Materials Science · Physics 2016-08-24 Sudesh , P. Kumar , P. Neha , T. Das , A. K. Rastogi , S. Patnaik

We consider the relation between spin and the Berry-phase contribution to the anomalous velocity of massive and massless Dirac particles. We extend the Berry connection that depends only on the spatial components of the particle momentum to…

High Energy Physics - Theory · Physics 2015-01-14 Michael Stone , Vatsal Dwivedi , Tianci Zhou

A quantized fermion can be represented by a scalar particle encircling a magnetic flux line. It has the spinor structure which can be constructed from quantum gates and qubits. We have studied here the role of Berry phase in removing…

Quantum Physics · Physics 2015-06-26 D. Banerjee , P. Bandyopadhyay

Experimentally feasible methods to determine the Berry phase, a fundamental quantity characterizing a quantum material, are often needed in applications. We develop an approach to detecting the Berry phase by using a class of…

Mesoscale and Nanoscale Physics · Physics 2024-08-23 Li-Li Ye , Cheng-Zhen Wang , Ying-Cheng Lai

Berry phases strongly affect the properties of crystalline materials, giving rise to modifications of the semiclassical equations of motion that govern wave-packet dynamics. In non-Hermitian systems, generalizations of the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Navot Silberstein , Jan Behrends , Moshe Goldstein , Roni Ilan

The Moebius strip, as a fascinating loop structure with one-sided topology, provides a rich playground for manipulating the non-trivial topological behavior of spinning particles, such as electrons, polaritons, and photons in both real and…

Nodal lines inside the momentum space of three-dimensional crystalline solids are topologically stabilized by a $\pi$-flux of Berry phase. Nodal-line rings in $\mathcal{PT}$-symmetric systems with negligible spin-orbit coupling (here…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Apoorv Tiwari , Tomáš Bzdušek

Hole-spins localized in semiconductor structures, such as quantum dots or defects, serve to the realization of efficient gate-tunable solid-state quantum bits. Here we study two electrically driven spin $3/2$ holes coupled to the…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Marcin M. Wysokiński , Marcin Płodzień , Mircea Trif

We consider a two-level system coupled to an environment that evolves non-adiabatically. We present a non-perturbative method for determining the persistence amplitude whose phase contains all the corrections to Berry's phase produced by…

Quantum Physics · Physics 2007-05-23 Frank Gaitan

We evaluate the Berry phase for a "missing" family of the square integrable wavefunctions for the linear harmonic oscillator, which cannot be derived by the separation of variables (in a natural way). Instead, it is obtained by the action…

Quantum Physics · Physics 2012-03-21 Sergei K. Suslov

We study and present the results of Berry connection for the topological states in quantum matter. The Berry connection plays a central role in the geometric phase and topological phenomenon in quantum many-body system. We present the…

Strongly Correlated Electrons · Physics 2019-06-12 Y R Kartik , Rahul S , Ranjith Kumar R , Sujit Sarkar

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

Materials Science · Physics 2026-05-15 Emanuele Maggio

We consider the influence of topological phases, or their vicinity, on the spin density and spin polarization through a chiral chain. We show the quantization of the Berry phase in a one-dimensional polarization helix structure, under the…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 P. D. Sacramento , M. F. Madeira

Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where $T\gg1$ is…

Mathematical Physics · Physics 2009-11-11 F. N. Litvinets , A. V. Shapovalov , A. Yu. Trifonov

A Berry crystal is a random superposition of N plane waves of equal amplitude and fixed wavevector magnitude, propagating in different directions. Using numerical simulations of wavepacket dynamics, spectral analysis based on…

Disordered Systems and Neural Networks · Physics 2026-03-04 Zixuan Chai , Si-Yuan Chen , Chenzheng Yu , Anton M. Graf , Joonas Keski-Rahkonen , Eric J. Heller

Ever since the novel quantum Hall effect in bilayer graphene was discovered, and explained by a Berry phase of 2pi [K. S. Novoselov et al., "Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene", Nature Phys. 2,…

Mesoscale and Nanoscale Physics · Physics 2011-11-21 Cheol-Hwan Park , Nicola Marzari

The chiral anomaly-induced negative magnetoresistance and non-trivial Berry phase are two fundamental transport properties associated with the topological properties of Weyl fermions. In this work, we report the quantum transport of TaP…

Materials Science · Physics 2016-01-08 J. Hu , J. Y. Liu , D. Graf , S. M. A Radmanesh , D. J. Adams , A. Chuang , Y. Wang , I. Chiorescu , J. Wei , L. Spinu , Z. Q. Mao

Brillouin zones of graphene systems possess Dirac points, where band degeneracies occur. We study the variety of (and large magnitude) phases that the electronic states can acquire when a uniform time-dependent electric field carries the…

Materials Science · Physics 2009-11-13 R. Englman , T. Vértesi
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