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Higher Berry phase has recently been proposed to study the topology of the space of gapped many-body quantum systems. In this work, we develop a boundary-scattering approach to detect higher Berry phases in one-dimensional gapped…

Strongly Correlated Electrons · Physics 2026-02-27 Chih-Yu Lo , Xueda Wen

Superconductivity and Bloch band Berry curvature responses represent two distinct paradigms of quantum coherent phenomena. The former relies on the collective motion of a many-body state while the latter proceeds from the momentum-space…

Superconductivity · Physics 2024-10-30 Oles Matsyshyn , Giovanni Vignale , Justin C. W. Song

Since its discovery, Berry phase has been demonstrated to play an important role in many quantum systems. In gapped Bernal bilayer graphene, the Berry phase can be continuously tuned from zero to 2pi, which offers a unique opportunity to…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yi-Wen Liu , Zhe Hou , Si-Yu Li , Qing-Feng Sun , Lin He

We introduce the concept of Berry's phase in Josephson junctions and consider how this geometric phase arises due to applied oscillating electric fields. The electromagnetic field excites topological quasi-particles from the junction vacuum…

Mesoscale and Nanoscale Physics · Physics 2020-03-19 Godwill Mbiti Kanyolo

In the mixed state of a d-wave superconductor, Bogoliubov quasiparticles are scattered from magnetic vortices via a combination of two effects: Aharonov-Bohm scattering due to the Berry phase acquired by a quasiparticle upon circling a…

Superconductivity · Physics 2011-08-29 Sriram Ganeshan , M. Kulkarni , Adam C. Durst

We develop a method to characterize topological phase transitions for strongly correlated Hamiltonians defined on two-dimensional lattices based on the many-body Berry curvature. Our goal is to identify a class of quantum critical points…

Strongly Correlated Electrons · Physics 2017-11-13 Stefanos Kourtis , Titus Neupert , Christopher Mudry , Manfred Sigrist , Wei Chen

Geometry of the wave function is a central pillar of modern solid state physics. In this work, we unveil the wave-function geometry of two-dimensional semimetals with band crossing points (BCPs). We show that the Berry phase of BCPs are…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Yoonseok Hwang , Junseo Jung , Jun-Won Rhim , Bohm-Jung Yang

The velocity field composed of the Berry connection from many-body wave functions and electromagnetic vector potential explains the energy-momentum balance during the reversible superconducting-normal phase transition in the presence of an…

Superconductivity · Physics 2023-11-21 Hiroyasu Koizumi

We report large magnetoresistance (MR) and Shubnikov-de Haas (SdH) oscillations in single crystals of magnetically (M= Ni and Fe) doped M$_x$Bi$_{0.97-x}$Sb$_{0.03}$ ($x=$ 0, 0.02) topological insulators. The R$\bar{3}$m symmetry and phase…

Strongly Correlated Electrons · Physics 2020-10-14 V. K. Maurya , Manju Mishra Patidar , Anita Dhaka , R. Rawat , V. Ganesan , R. S. Dhaka

We propose a protocol to locally detect the Berry curvature of a three terminal Josephson junction with a quantum dot based on a synchronic detection when an AC modulation is applied in the device. This local gauge invariant quantity is…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Lucila Peralta Gavensky , Gonzalo Usaj , D. Feinberg , C. A. Balseiro

The quantum Hall superfluid is presently the only viable candidate for a realization of quasiparticles with fractional Berry phase statistics. For a simple vortex excitation, relevant for a subset of fractional Hall states considered by…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gun Sang Jeon , Kenneth L. Graham , Jainendra K. Jain

We consider chiral, generally nonlinear density waves in one dimension, modelling the bosonized edge modes of a two-dimensional fermionic topological insulator. Using the coincidence between bosonization and Lie-Poisson dynamics on an…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Mathieu Beauvillain , Blagoje Oblak , Marios Petropoulos

We present measurements of the Berry Phase in a single solid-state spin qubit associated with the nitrogen-vacancy center in diamond. Our results demonstrate the remarkable degree of coherent control achievable in the presence of a highly…

Mesoscale and Nanoscale Physics · Physics 2015-04-13 Kai Zhang , Naufer M. Nusran , Bradley R. Slezak , M. V. Gurudev Dutt

We show that Berry's geometrical (topological) phase for circular quantum dots with an odd number of electrons is equal to \pi and that eigenvalues of the orbital angular momentum run over half-integer values. The non-zero value of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. D. Mur , N. B. Narozhny , A. N. Petrosyan , Yu. E. Lozovik

Within the phase fluctuation model for the pseudogap state of cuprate superconductors we identify a novel statistical "Berry phase" interaction between the nodal quasiparticles and fluctuating vortices. The effective action describing this…

Superconductivity · Physics 2007-05-23 M. Franz , Z. Tesanovic

We study the quantum propagator in the semiclassical limit with hard-wall potentials. We show that, upon each reflection by the hard wall, a Berry phase $\pi$ is accumulated and leads to interferences between different classical…

Condensed Matter · Physics 2015-06-24 Hsiu-Hau Lin , Tzay-Ming Hong

We study a two-dimensional charged particle interacting with a magnetic field, in general non-homogeneous, perpendicular to the plane, a confining potential, and a point interaction. If the latter moves adiabatically along a loop the state…

Quantum Physics · Physics 2007-05-23 Pavel Exner , Vladimir A. Geyler

Berry phase in a single quantum dot with Rashba spin-orbit coupling is investigated theoretically. Berry phases as functions of magnetic field strength, dot size, spin-orbit coupling and photon-spin coupling constants are evaluated. It is…

Mesoscale and Nanoscale Physics · Physics 2008-10-31 Huan Wang , Ka-Di Zhu

Recent experiments in rhombohedrally-stacked multilayer graphene heterostructures have reported signatures of chiral superconductivity, emerging from a spin and valley-polarized normal state with broken time-reversal symmetry and an…

Superconductivity · Physics 2025-12-08 Adarsh S. Patri , Marcel Franz

Despite the extensive studies of topological states, their characterization in strongly nonlinear classical systems has been lacking. In this work, we identify the proper definition of Berry phase for nonlinear bulk modes and characterize…

Disordered Systems and Neural Networks · Physics 2022-06-22 Di Zhou , D. Zeb Rocklin , Michael Leamy , Yugui Yao
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