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By using Bogoliubov transformations to construct the ground states of fermionic Bardeen-Cooper-Schrieffer (BCS) superfluids and weakly-interacting Bose gases supporting Bose Einstein Condensation (BEC), their algebraic structures and…

Quantum Gases · Physics 2016-12-23 Hao Guo , Yan He , Chih-Chun Chien

We study the classical Heisenberg model on the geometrically frustrated Shastry-Sutherland (SS) lattice with additional Dzyaloshinskii-Moriya (DM) interaction in the presence of an external magnetic field. We show that several noncollinear…

Strongly Correlated Electrons · Physics 2021-01-04 Munir Shahzad , Nyayabanta Swain , Pinaki Sengupta

We investigate the properties of antiferromagnetic spin-S ladders with the help of local Berry phases defined by imposing a twist on one or a few local bonds. In gapped systems with time reversal symmetry, these Berry phases are quantized,…

Strongly Correlated Electrons · Physics 2014-02-20 Natalia Chepiga , Frédéric Michaud , Frédéric Mila

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

Topological states of matter challenge the paradigm of symmetry breaking, characterized by gapless boundary modes and protected by the topological property of the ground state. Recently, angle-resolved photoemission spectroscopy (ARPES) has…

Strongly Correlated Electrons · Physics 2015-05-28 Heon-Jung Kim , Ki-Seok Kim , Mun Dae Kim , S. -J. Lee , J. -W. Han , A. Ohnishi , M. Kitaura , M. Sasaki , A. Kondo , K. Kindo

We report on the electronic structure of the elemental topological semimetal $\alpha$-Sn on InSb(001). High-resolution angle-resolved photoemission data allow to observe the topological surface state (TSS) that is degenerate with the bulk…

Geometrical Berry phase is recognized as having profound implications for the properties of electronic systems. Over the last decade, Berry phase has been essential to our understanding of new materials, including graphene and topological…

Superconductivity · Physics 2015-06-17 N. Doiron-Leyraud , T. Szkopek , T. Pereg-Barnea , C. Proust , G. Gervais

We develop a theory of Berry phase effect in anomalous transport in ferromagnets driven by statistical forces such as the gradient of temperature or chemical potential. Here a charge Hall current arises from the Berry phase correction to…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Di Xiao , Yugui Yao , Zhong Fang , Qian Niu

We study a class of translational-invariant insulators with discrete rotational symmetry. These insulators have no spin-orbit coupling, and in some cases have no time-reversal symmetry as well, i.e., the relevant symmetries are purely…

Other Condensed Matter · Physics 2016-05-11 A. Alexandradinata , B. Andrei Bernevig

The picture of how a gap closes in a semiconductor has been radically transformed by topological concepts. Instead of the gap closing and immediately re-opening, topological arguments predict that, in the absence of inversion symmetry, a…

Strongly Correlated Electrons · Physics 2017-10-25 Tian Liang , Satya Kushwaha , Jinwoong Kim , Quinn Gibson , Jingjing Lin , Nicholas Kioussis , R. J. Cava , N. P. Ong

The Nernst effect in superconductors is typically linked to fluctuating Cooper pairs above $T_c$ or vortex motion below $T_c$. We show instead that Berry curvature of Bogoliubov quasiparticles can generate an intrinsic Nernst response in a…

Superconductivity · Physics 2025-10-01 Tzu-Chi Hsieh , Cong Xiao , Yi-Ting Hsu

The accumulation of non-trivial geometric phases in a material's response is often a tell-tale sign of a rich underlying internal structure. Studying quantum oscillations provides one of the ways to determine these geometrical phases, such…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Biswajit Datta , Pratap Chandra Adak , Li-kun Shi , Kenji Watanabe , Takashi Taniguchi , Justin C. W. Song , Mandar M. Deshmukh

Time reversal and inversion symmetric materials fail to yield linear and nonlinear responses since they possess net zero Berry curvature. However, higher-order Hall response can be generated in these systems upon constraining the…

Mesoscale and Nanoscale Physics · Physics 2023-06-29 Tanay Nag , Sanjib Kumar Das , Chuanchang Zeng , Snehasish Nandy

The theoretical identification of crystalline topological materials has enjoyed sustained success in simplified materials models, often by singling out discrete symmetry operations protecting the topological phase. When band structure…

Materials Science · Physics 2026-05-15 Emanuele Maggio

We study infrared divergences in quantum electrodynamics using geometric phases and the adiabatic approximation in quantum field theory. In this framework, the asymptotic \textit{in} and \textit{out} states are modified by Berry phases,…

High Energy Physics - Theory · Physics 2025-07-03 J. Gamboa

Topological acoustics provides new opportunities for materials with unprecedented functions. In this work, we report a design of topological valley acoustic interferometers by Y-shaped valley sonic crystals. By tight-bounding calculation…

Applied Physics · Physics 2024-09-12 Wei Zhao , Jia-He Chen , Shu-Guang Cheng , Yong Mao , Xiaojun Zhang , Zhi Tao , Hua Jiang , Zhi Hong Hang

The phase of quantum magneto-oscillations is often associated with the Berry phase and is widely used to argue in favor of topological nontriviality of the system (Berry phase $2\pi n+\pi$). Nevertheless, the experimentally determined value…

Strongly Correlated Electrons · Physics 2018-05-21 A. Yu. Kuntsevich , A. V. Shupletsov , G. M. Minkov

The $\alpha$-$T_3$ lattice, an interpolation model between the honeycomb lattice of graphene($\alpha=0$) and the dice lattice($\alpha=1$), undergoes a topological phase transition across $\alpha=1/\sqrt{2}$ when exposed to a circularly…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Lakpa Tamang , Tutul Biswas

The study of topological properties in magnetic materials has long been one of the forefront research areas in condensed matter physics. CrSb, as a prototypical candidate material for altermagnetism, has attracted significant attention due…

Magnetic semimetals have increasingly emerged as lucrative platforms hosting spin-based topological phenomena in real and momentum spaces. Of particular interest is the emergence of Berry curvature, whose geometric origin, accessibility…