Twisted Group C*-Algebras as Compact Quantum Metric Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Results in Mathematics"
DOI: 10.1007/s00025-016-0562-7
Abstract: We construct a class of compact quantum metric spaces. We prove that twisted reduced group C*-algebras for discrete groups with twisted rapid decay property are compact quantum metric spaces, which contain noncommutative tori, hyperbolic reduced… read more here.
Keywords: quantum metric; group algebras; compact quantum; metric spaces ... See more keywords
ON THE BURES METRIC, $C^*$ -NORM AND QUANTUM METRIC
Sign Up to like & getrecommendations! Published in 2025 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972724001217
Abstract: Given a unital $C^*$ -algebra and a faithful trace, we prove that the topology on the associated density space induced by the $C^*$ -norm is finer than the Bures metric topology. We also provide an… read more here.
Keywords: metric norm; algebra; quantum metric; topology ... See more keywords
Quantum Plasmonic Nonreciprocity in Parity-Violating Magnets.
Sign Up to like & getrecommendations! Published in 2022 at "Nano letters"
DOI: 10.1021/acs.nanolett.2c03126
Abstract: The optical responses of metals are often dominated by plasmonic resonances, that is, the collective oscillations of interacting electron liquids. Here we unveil a new class of plasmons─quantum metric plasmons (QMPs)─that arise in a wide… read more here.
Keywords: quantum plasmonic; violating magnets; quantum metric; parity ... See more keywords
Quantum metric-induced giant and reversible nonreciprocal transport phenomena in chiral loop-current phases of kagome metals.
Sign Up to like & getrecommendations! Published in 2024 at "Proceedings of the National Academy of Sciences of the United States of America"
DOI: 10.1073/pnas.2503645122
Abstract: Emergence of quantum orders with nontrivial quantum geometric properties in metals represent central issues in condensed matter physics. In this context, recently discovered chiral loop-current order in kagome metals has garnered significant attention. Particularly noteworthy… read more here.
Keywords: loop current; see text; quantum metric; kagome metals ... See more keywords
Quantum metric for null separated events and spacetime atoms
Sign Up to like & getrecommendations! Published in 2019 at "Classical and Quantum Gravity"
DOI: 10.1088/1361-6382/ab0a40
Abstract: Recently, a proposal has been made to figure out the expected discrete nature of spacetime at the smallest scales in terms of atoms of spacetime, capturing their effects through a scalar $\rho$, related to their… read more here.
Keywords: separated events; null separated; quantum metric; spacetime ... See more keywords
Revealing Chern number from quantum metric
Sign Up to like & getrecommendations! Published in 2022 at "Chinese Physics B"
DOI: 10.1088/1674-1056/ac2f2c
Abstract: Chern number is usually characterized by Berry curvature. Here, by investigating the Dirac model of even-dimensional Chern insulator, we give the general relation between Berry curvature and quantum metric, which indicates that the Chern number… read more here.
Keywords: chern number; quantum metric; revealing chern; quantum ... See more keywords
Electrical magnetochiral anisotropy and quantum metric in chiral conductors
Sign Up to like & getrecommendations! Published in 2024 at "2D Materials"
DOI: 10.1088/2053-1583/ada0b8
Abstract: Electrical magnetochiral anisotropy (EMCA) refers to the chirality- and current-dependent nonlinear magnetoresistance in chiral conductors and is commonly interpreted in a semiclassical picture. In this work, we reveal a quantum geometry origin of EMCA using… read more here.
Keywords: emca; chiral conductors; electrical magnetochiral; quantum metric ... See more keywords
Majorana Zero Modes in the Lieb-Kitaev Model with Tunable Quantum Metric.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/l3c7-knqm
Abstract: The relation between band topology and Majorana zero energy modes (MZMs) in topological superconductors had been well studied in the past decades. However, the relation between the quantum metric and MZMs has yet to be… read more here.
Keywords: majorana zero; band; quantum metric; model ... See more keywords
Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.l180502
Abstract: 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… read more here.
Keywords: quantum metric; mediated berry; curvature; berry curvature ... See more keywords
Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review B"
DOI: 10.1103/physrevb.105.l140506
Abstract: Flat-band systems are a promising platform for realizing exotic collective ground states with spontaneously broken symmetry because the electron-electron interactions dominate the kinetic energy. A state of particular interest would be the chased after interlayer-phase-coherent… read more here.
Keywords: bilayer graphene; twisted bilayer; quantum metric; double twisted ... See more keywords
Effect of disorder on Berry curvature and quantum metric in two-band gapped graphene
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.110.245419
Abstract: The geometric properties of parameter space are mostly described by Berry curvature and quantum metric, which are the imaginary and real part of quantum geometric tensor, respectively. In this work, we calculate the dressed Berry… read more here.
Keywords: quantum metric; curvature quantum; two band; berry curvature ... See more keywords