Higher-dimensional generalizations of Berry curvature [PDF]
Physical review B, 2020 A family of finite-dimensional quantum systems with a non-degenerate ground state gives rise to a closed 2-form on the parameter space: the curvature of the Berry connection. Its cohomology class is a topological invariant of the family.
A. Kapustin, L. Spodyneiko
semanticscholar +5 more sources
A modular sewing kit for entanglement wedges [PDF]
Journal of High Energy Physics, 2019 We relate the Riemann curvature of a holographic spacetime to an entangle- ment property of the dual CFT state: the Berry curvature of its modular Hamiltonians.
Bartlomiej Czech +3 more
doaj +5 more sources
Circular photogalvanic effect on topological insulator surfaces: Berry-curvature-dependent response [PDF]
, 2011 We study theoretically the optical response of the surface states of a topological insulator, especially the generation of helicity-dependent direct current by circularly polarized light.
P. Hosur
semanticscholar +4 more sources
Berry electrodynamics: Anomalous drift and pumping from a time-dependent Berry connection [PDF]
Physical review B, 2018 The Berry curvature of a Bloch band can be interpreted as a local magnetic field in reciprocal space. This analogy can be extended by defining an electric field analog in reciprocal space which arises from the time-dependent Berry connection.
S. Chaudhary, M. Endres, G. Refael
semanticscholar +5 more sources
Berry curvature effects in the Bloch oscillations of a quantum particle under a strong (synthetic) magnetic field [PDF]
, 2013 We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force.
M. Cominotti, I. Carusotto
semanticscholar +3 more sources
Gauge-theoretic invariants for topological insulators: a bridge between Berry, Wess–Zumino, and Fu–Kane–Mele [PDF]
Letters in Mathematical Physics, 2016 We establish a connection between two recently proposed approaches to the understanding of the geometric origin of the Fu–Kane–Mele invariant $$\mathrm {FKM}\in \mathbb {Z}_2$$FKM∈Z2, arising in the context of two-dimensional time-reversal symmetric ...
D. Monaco, Clément Tauber
semanticscholar +4 more sources
Extracting the quantum geometric tensor of an optical Raman lattice by Bloch-state tomography
Physical Review Research, 2023 In Hilbert space, the geometry of the quantum state is identified by the quantum geometric tensor (QGT), whose imaginary part is the Berry curvature and whose real part is the quantum metric tensor.
Chang-Rui Yi +8 more
doaj +1 more source
Topological Edge States of a Majorana BBH Model
Condensed Matter, 2021 We investigate a Majorana Benalcazar–Bernevig–Hughes (BBH) model showing the emergence of topological corner states. The model, consisting of a two-dimensional Su–Schrieffer–Heeger (SSH) system of Majorana fermions with π flux, exhibits a non-trivial ...
Alfonso Maiellaro, Roberta Citro
doaj +1 more source
Anomalous Higgs oscillations mediated by Berry curvature and quantum metric [PDF]
Physical review B, 2020 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.
K. H. Villegas, Bohm-Jung Yang
semanticscholar +1 more source
Field-induced Berry connection and anomalous planar Hall effect in tilted Weyl semimetals
Physical Review Research, 2023 We propose the linear and nonlinear anomalous planar Hall effect (APHE) in tilted Weyl semimetals in the presence of an in-plane magnetic and electric field, where the field-induced Berry connection plays a key role.
YuanDong Wang, Zhen-Gang Zhu, Gang Su
doaj +1 more source