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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

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

We investigate electronic transport in n-i-n GaN nanowires with and without AlN double barriers. The nanowires are grown by catalyst-free, plasma-assisted molecular beam epitaxy enabling abrupt GaN/AlN interfaces as well as longitudinal…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 R. Songmuang , G. Katsaros , E. Monroy , P. Spathis , C. Bourgeral , M. Mongillo , S. De Franceschi

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

Recent experiments on multilayer graphene systems have rekindled interest in electronic crystal phases in two dimensions -- but now for phases enriched by non-trivial quantum geometry. In this work, we introduce a simple continuum model…

Strongly Correlated Electrons · Physics 2026-01-27 Félix Desrochers , Joe Huxford , Mark R. Hirsbrunner , Yong Baek Kim

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

Quantum Physics · Physics 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We show that the spin quantum Hall effect in the vortex state of two-dimensional rotating superfluid He3 can be described as an adiabatic spin transport of Bloch quasiparticles. We show that the spin Hall conductivity is written by the…

Superconductivity · Physics 2009-11-07 Jun Goryo , Mahito Kohmoto

We investigate the effect of the environment on a Berry phase measurement involving a spin-half. We model the spin+environment using a biased spin-boson Hamiltonian with a time-dependent magnetic field. We find that, contrary to naive…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert S. Whitney , Yuval Gefen

Vibronic effects in resonant electron transport through single-molecule junctions are analyzed. The study is based on generic models for molecular junctions, which include electronic states on the molecular bridge that are vibrationally…

Mesoscale and Nanoscale Physics · Physics 2011-03-15 R. Härtle , M. Thoss

Berry's phase is investigated for ultracold atoms in a frequency modulated optical lattice. It is shown that Berry's phase appears due to Bloch oscillation and the periodic motion of the optical lattice. Particularly, Berry's phase for…

Quantum Gases · Physics 2010-09-21 C. Yuce

We theoretically investigate how the Berry curvature, which arises in multi-band structures when the electrons can be described by an effective single-band Hamiltonian, affects the superconducting properties of two-dimensional electronic…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Florian Simon , Louis Pagot , Marc Gabay , Mark O. Goerbig

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 study Berry's connection potentials of many-body ground states of spin-one bosons with antiferromagnetic interactions in adiabatically varying magnetic fields. We find that Berry's connection potentials are generally determined by,…

Condensed Matter · Physics 2009-11-10 Jeroen Wiemer , Fei Zhou

Applying time-varying magnetic fields to Weyl metals, a pair of Weyl points become oscillating. This oscillating monopole and anti-monopole pair gives rise to AC Berry magnetic fields, responsible for the emergence of Berry electric fields,…

Strongly Correlated Electrons · Physics 2017-02-28 Iksu Jang , Jaeho Han , Ki-Seok Kim

Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. In this paper, we report the finding of novel nonzero Hall effect in topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Jun Ge , Da Ma , Yanzhao Liu , Huichao Wang , Yanan Li , Jiawei Luo , Tianchuang Luo , Ying Xing , Jiaqiang Yan , David Mandrus , Haiwen Liu , X. C. Xie , Jian Wang

Berry curvature does not show itself in the relative phase correlation of wave-functions at different spatial points in a metal unless the fermions have closed trajectories in momentum space, for example those around isolated impurities.…

Strongly Correlated Electrons · Physics 2026-01-21 Chandra M. Varma

Using the group theory and the method of invariants, it is shown how the vibronic potential can be written in a matrix form and the corresponding adiabatic potentials can be found. The molecule having $D_{3d}$ symmetry is considered herein…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 S. A. Bercha , V. M. Rizak

We study theoretically the influence of Berry phase on the real-time dynamics of the single particle focusing on the diffusive dynamics, i.e., the time-dependence of the distribution function. Our model can be applied to the real-time…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Kou Misaki , Seiji Miyashita , Naoto Nagaosa

The properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson coupling, i.e. when $E_{\mathrm{J}}\lesssim E_{\mathrm{C}}$. It is also known that Berry's…

Superconductivity · Physics 2007-05-23 M. Aunola , J. J. Toppari

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix