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A fundamental revision of superconductivity theory that resolves the supercurrent carrier mass contradiction (the standard theory predicts it to be the effective mass but the London moment measurement indicates it to be the free electron…

Superconductivity · Physics 2021-11-29 Hiroyasu Koizumi

In a SQUID tuned away from half-integer flux (in units of the superconducting flux quantum), the concurrence of multiple Josephson harmonics and an asymmetry between the junctions leads to the Josephson diode effect -- a nonreciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 M. Houzet , T. Vakhtel , J. S. Meyer

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal

In recent years, it has been shown that Berry curvature monopoles and dipoles play essential roles in the anomalous Hall effect and the nonlinear Hall effect respectively. In this work, we demonstrate that Berry curvature multipoles (the…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Cheng-Ping Zhang , Xue-Jian Gao , Ying-Ming Xie , Hoi Chun Po , K. T. Law

The discovery of Berry curvature (BC) has spurred a tremendous surge of research into various quantum phenomena such as the anomalous transport of electrons and the topological phases of matter. In two-dimensional crystalline systems, the…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 Kyoung-Whan Kim , Hogyun Jeong , Jeongwoo Kim , Hosub Jin

The quantum geometric tensor, which has the quantum metric and Berry curvature as its real and imaginary parts, plays a key role in the transport properties of condensed matter systems. In the nonlinear regime, the quantum metric dipole and…

Mesoscale and Nanoscale Physics · Physics 2025-05-02 Xu Yang , Brian Skinner

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

Higgs spectroscopy, the study of Higgs bosons of a superconductor, is an emerging field in studying superconductivity. Here we show that the Berry curvature and the quantum metric of bands play a central role in the Higgs mode generation.…

Superconductivity · Physics 2021-11-16 Kristian Hauser A. Villegas , Bo Yang

The vacuum of supersymmetric gauge theories (SQCD) with N=2 softly broken to N=1 resembles that of a BCS superconductor in that it has a condensate which collimates flux into vortices, leading to confinement. We embed the SQCD vortex into…

High Energy Physics - Theory · Physics 2009-03-05 Jarah Evslin

The Berry phase and curvature are studied for the Dirac nodal line semimetal of single-component molecular conductor [Pd(dddt)$_2$]. Using two-band model on the basis of a tight-binding model, it is shown that the Berry curvature,…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Yoshikazu Suzumura , Ai Yamakage

The standard quantum mechanical electronic state calculations for molecules and solids uses the Schroedinger representation where the momentum conjugate to the coordinate $q_r$ is given by $-hbar {partial over {partial q_r}}$. This…

Superconductivity · Physics 2022-09-07 Hiroyasu Koizumi

Quantum geometry characterizes the variation of wavefunctions in momentum space through their overlaps and relative phases, providing a general framework for understanding many transport and optical properties. It is generally formulated in…

Strongly Correlated Electrons · Physics 2026-05-20 Alejandro S. Miñarro , Gervasi Herranz

The topology between Bloch states in reciprocal space has attracted tremendous attention in recent years. The quantum geometry of the band structure is composed of quantum metric as real part and berry curvature as imaginary part. While the…

Materials Science · Physics 2023-12-12 Junjian Mi , Jialin Li , Miaocong Li , Sheng Xu , Shuang Yu , Zheng Li , Xinyi Fan , Huanfeng Zhu , Qian Tao , Linjun Li , Zhuan Xu

Nonlinear optical response is a sensitive probe of the geometry and symmetry of electronic Bloch states in solids. Here, we extend this notion to the Bogoliubiov-de-Gennes (BdG) quasiparticles in superconductors. We present a theory of…

Superconductivity · Physics 2025-02-19 Daniel Kaplan , Kevin P. Lucht , Pavel A. Volkov , J. H. Pixley

In magnetic systems, electronic bands often acquire nontrivial topological structure characterized by gauge flux distribution in momentum (k)-space. It sometimes follows that the phase of the wavefunctions cannot be defined uniquely over…

Superconductivity · Physics 2009-11-07 Shuichi Murakami , Naoto Nagaosa

Recent experimental and theoretical studies have revealed the emergence of a linear layer Hall effect (LHE) induced by hidden Berry curvature in \textrm{MnBi}$_{2}$\textrm{Te}$_{4}$ thin films. This phenomenon underscores the layer degree…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Zhuo-Hua Chen , Hou-Jian Duan , Ming-Xun Deng , Rui-Qiang Wang

Berry phase effect plays a central role in many mesoscale condensed matter and quantum chemical systems that are naturally under the environmental influence of dissipation. We propose and microscopically derive a prototypical quantum…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Xiao-Xiao Zhang , Naoto Nagaosa

We investigate electron pairing in the presence of the Berry curvature field that ubiquitously exists in ferromagnetic metals with spin-orbit coupling. We show that a sufficiently strong Berry curvature field on the Fermi surface can…

Superconductivity · Physics 2007-05-23 Junren Shi , Qian Niu

The recently introduced concept of "surface Berry plasmons" is studied in the concrete instance of a ferromagnetic conductor in which the Berry curvature, generated by spin-orbit (SO) interaction, has opposite signs for carriers parallel or…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Steven S. -L. Zhang , Giovanni Vignale

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