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Related papers: Chaos based Berry phase detector

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Type-II semi-Dirac fermions in two dimensions have been proposed to describe topologically nontrivial low-energy excitations in titanium/vanadium oxide heterostructures. These quasiparticles appear at the merger of three Dirac cones,…

Strongly Correlated Electrons · Physics 2026-05-19 Mohamed M. Elsayed , Taras I. Lakoba , Valeri N. Kotov

Since the discovery of graphene, layered materials have attracted extensive interests owing to their unique electronic and optical characteristics. Among them, Dirac semimetal, one of the most appealing categories, has been a long-sought…

Three-dimensional topological semimetals hosting Dirac or Weyl fermions are a new kind of materials class in which conduction and valence bands cross each other. Such materials harbor a nontrivial Berry phase, which is an additional…

Strongly Correlated Electrons · Physics 2025-09-24 P. R. Mandal , Kefeng Wang , Tarapada Sarkar , Prathum Saraf , Danila Sokratov , Johnpierre Paglione

A U(1) nonlinear sigma model (NLSM) with a one-dimensional temporal Berry phase term describes the critical theory of phase-fluctuation-driven superfluid (SF) transitions. We clarify that the temporal Berry phase leads to space-time…

Superconductivity · Physics 2026-03-11 Ryuichi Shindou , Pengwei Zhao , Xiaonuo Fang

Chiral quasiparticles in Bernal-stacked bilayer graphene have valley-contrasting Berry phases of 2{\pi}. This nontrival topological structure, associated with the pseudospin winding along a closed Fermi surface, is responsible for various…

Materials Science · Physics 2020-05-05 Yu Zhang , Ying Su , Lin He

The quantum vacuum contribution to Berry's geometric phase of photon fields inside a noncoplanarly curved (coiled) fiber is considered by means of the second-quantization formulation. It is shown that the quantum vacuum Berry's phases of…

Quantum Physics · Physics 2007-05-23 Jian Qi Shen

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

Geometric analogs of Bloch oscillations studied so far have relied on Berry curvature. We show that a weakly inhomogeneous electric field adds a distinct quantum-metric term to semiclassical wavepacket dynamics, generating an oscillatory…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 M. Maneesh Kumar , Md Kaif Faiyaz , Sayan Sarkar , Amit Agarwal

We characterize several phases of gapped spin systems by local order parameters defined by quantized Berry phases. This characterization is topologically stable against any small perturbation as long as the energy gap remains finite. The…

Strongly Correlated Electrons · Physics 2008-08-18 Takaaki Hirano , Hosho Katsura , Yasuhiro Hatsugai

Topological defects in Bloch bands, such as Dirac points in graphene, and their resulting Berry phases play an important role for the electronic dynamics in solid state crystals. Such defects can arise in systems with a two-atomic basis due…

A microscopic theory of superfluid drag in a two-component Bose gas is developed. The drag factor is shown to be proportional to the square root of the gas parameter. Basing on the similarity between the drag force and vector potential of…

Soft Condensed Matter · Physics 2019-12-10 D. V. Fil , S. I. Shevchenko

The Berry phase is a fundamental quantity in the classification of topological phases of matter. In this paper, we present a new quantum algorithm and several complexity-theoretical results for the Berry phase estimation (BPE) problems. Our…

Quantum Physics · Physics 2025-11-25 Ryu Hayakawa , Kazuki Sakamoto , Chusei Kiumi

In recent years, two-dimensional Dirac materials patterned with a superlattice structure have emerged as a rich platform for exploring correlated and topological quantum matter. In this work, we propose that by subjecting Dirac electrons to…

Strongly Correlated Electrons · Physics 2023-02-21 Xue-Yang Song , Hart Goldman , Liang Fu

Intensities of LEED and PED are analyzed from a statistical point of view. The probability distribution is compared with a Porter-Thomas law, characteristic of a chaotic quantum system. The agreement obtained is understood in terms of…

Statistical Mechanics · Physics 2009-10-30 P. L. de Andres , J. A. Vergés

Symmetry protected quantization of the Berry phase is discussed in relation to edge states. Assuming an existence of some adiabatic process which protects quantization of the Berry phase, non trivial Berry phase $\gamma=\pm 2\pi\rho$…

Strongly Correlated Electrons · Physics 2015-01-30 Toshikaze Kariyado , Yasuhiro Hatsugai

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

We uncover a remarkable quantum scattering phenomenon in two-dimensional Dirac material systems where the manifestations of both classically integrable and chaotic dynamics emerge simultaneously and are electrically controllable. The…

Quantum Physics · Physics 2018-03-28 Hong-Ya Xu , Guang-Lei Wang , Liang Huang , Ying-Cheng Lai

A topological theory of the diabolical points (degeneracies) of quantum magnets is presented. Diabolical points are characterized by their diabolicity index, for which topological sum rules are derived. The paradox of the the missing…

Quantum Physics · Physics 2012-05-01 Patrick Bruno

The neutron-rich $^{213}$Pb isotope was produced in the fragmentation of a primary 1 GeV $A$ $^{238}$U beam, separated in FRS in mass and atomic number, and then implanted for isomer decay $\gamma$-ray spectroscopy with the RISING setup at…

The phase of a quantum state may not return to its original value after the system's parameters cycle around a closed path; instead, the wavefunction may acquire a measurable phase difference called the Berry phase. Berry phases typically…