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The recent discovery of copper-substituted lead phosphate apatite, also known as LK-99, has caught much attention owing to certain experimental evidence of room-temperature superconductivity, although this claim is currently under intensive…

Superconductivity · Physics 2025-02-10 Wei Chen

For a long period of time, we have been seeking how Berry curvature influnces the transport properties in materials breaking time-reversal symmetry. In time-reversal symmetric material, there will be no thermoelectric current induced by…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Hongchao Li

The advent of non-Hermitian physics has enriched the plethora of topological phases to include phenomena without Hermitian counterparts. Despite being among the most well-studied uniquely non-Hermitian features, the topological properties…

Mesoscale and Nanoscale Physics · Physics 2025-06-05 Marcus Stålhammar , Lukas Rødland

Studies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge naturally from a geometric formalism. Specifically, in this…

Quantum Physics · Physics 2024-03-13 Chia-Yi Ju , Adam Miranowicz , Yueh-Nan Chen , Guang-Yin Chen , Franco Nori

This work unveils how geometric features of two-band non-Hermitian Hamiltonians can completely classify the topology of their eigenstates and energy manifolds. Our approach generalizes the Bloch sphere visualization of Hermitian systems to…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Linhu Li , Ching Hua Lee , Jiangbin Gong

We investigate parity-odd non-dissipative transport in an anisotropic Dirac semi-metal in two spatial dimensions. The analysis is relevant for interacting electronic systems with merging Dirac points at charge neutrality. For such systems…

Strongly Correlated Electrons · Physics 2019-01-29 Francisco Pena-Benitez , Kush Saha , Piotr Surowka

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 introduce ''Berry-dipole semimetals'', whose band degeneracies are characterized by quantized Berry dipoles. Through a two-band model constructed by Hopf map, we reveal that the Berry-dipole semimetals display a multitude of salient…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Zheng-Yang Zhuang , Chaoyi Zhang , Xiao-Jiao Wang , Zhongbo Yan

We describe a method for measuring the Berry curvature from the wave-packet dynamics in perturbed arrays of evanescently coupled optical waveguides with honeycomb lattice structure. To disentangle the effects of the Berry curvature and the…

Quantum Physics · Physics 2018-03-20 R. L. Heinisch , H. Fehske

A broad family of phase transitions in the closed as well as open quantum systems is known to be mediated by a non-Hermitian degeneracy (a.k.a. exceptional point, EP) of the Hamiltonian. In the EP limit, in general, the merger of an…

Quantum Physics · Physics 2021-03-16 Miloslav Znojil

In periodic systems, nodal lines are loops in the three-dimensional momentum space where two bands are degenerate with each other. Nodal lines exhibit rich topological features as they can take various configurations such as rings, links,…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Dongyang Wang , Biao Yang , Ruo-Yang Zhang , Wen-Jie Chen , Z. Q. Zhang , Shuang Zhang , C. T. Chan

The quantum geometric tensor (QGT) characterizes the complete geometric properties of quantum states, with the symmetric part being the quantum metric, and the antisymmetric part being the Berry curvature. We propose a generic Hamiltonian…

Quantum Physics · Physics 2024-04-22 Hai-Tao Ding , Chang-Xiao Zhang , Jing-Xin Liu , Jian-Te Wang , Dan-Wei Zhang , Shi-Liang Zhu

We show that the rotating Rayleigh-Benard convection, where a rotating fluid is heated from below, exhibits non-Hermitian topological states. Recently, Favier and Knobloch (JFM 2020) hypothesized that the robust wall modes in rapidly…

Fluid Dynamics · Physics 2026-05-26 Furu Zhang , Jin-Han Xie

The geometrical Berry phase is key to understanding the behaviour of quantum states under cyclic adiabatic evolution. When generalised to non-Hermitian systems with gain and loss, the Berry phase can become complex, and should modify not…

Mesoscale and Nanoscale Physics · Physics 2022-05-06 Yaashnaa Singhal , Enrico Martello , Shraddha Agrawal , Tomoki Ozawa , Hannah Price , Bryce Gadway

Geometric or Berry phases are fundamental manifestations that appear in many areas of physics. They arise from the geometry of the space describing the properties of multi-component wave fields. An important example for electromagnetic…

Optics · Physics 2026-01-27 Aymeric Braud , Renaud Gueroult

The Berry curvature is a geometrical property of an energy band which acts as a momentum space magnetic field in the effective Hamiltonian describing single-particle quantum dynamics. We show how this perspective may be exploited to study…

Quantum Gases · Physics 2014-11-20 Hannah M. Price , Tomoki Ozawa , Iacopo Carusotto

We study the magnetoelectric and magnetothermal transport properties of noncentrosymmetric metals using semiclassical Boltzmann transport formalism by incorporating the effects of Berry curvature and orbital magnetic moment. These effects…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Ojasvi Pal , Bashab Dey , Tarun Kanti Ghosh

We show that in a layered metal, the angle dependent, finite frequency, interlayer magnetoresistance is altered due to the presence of a non-zero Berry curvature at the Fermi surface. At zero frequency, we find a conservation law which…

Mesoscale and Nanoscale Physics · Physics 2013-10-02 Anthony R. Wright , Ross H. McKenzie

The existing paradigm for topological insulators asserts that an energy gap separates conduction and valence bands with opposite topological invariants. Here, we propose that \textit{equal}-energy bands with opposite Chern invariants can be…

Strongly Correlated Electrons · Physics 2021-01-13 A. Alexandradinata , Aleksandra Nelson , Alexey A. Soluyanov

We discuss the topology of Bogoliubov excitation bands from a Bose-Einstein condensate in an optical lattice. Since the Bogoliubov equation for a bosonic system is non-Hermitian, complex eigenvalues often appear and induce dynamical…

Quantum Gases · Physics 2020-01-29 Terumichi Ohashi , Shingo Kobayashi , Yuki Kawaguchi