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The realization of artificial gauge fields in ultracold atomic gases has opened up a path towards experimental studies of topological insulators and, as an ultimate goal, topological quantum matter in many-body systems. As an alternative to…

Strongly Correlated Electrons · Physics 2020-10-29 Leo Stenzel , Andrew L. C. Hayward , Claudius Hubig , Ulrich Schollwöck , Fabian Heidrich-Meisner

Motivated by the sensitivity of Sr$_2$RuO$_4$ to Fermi surface reconstructions under strain, we investigate how Fermi surface geometry and Van Hove singularities influence the optical Hall response and polar Kerr effect. Within a…

Superconductivity · Physics 2026-02-12 Meghdad Yazdani-Hamid , Mehdi Biderang , Alireza Akbari

Spontaneous, collective ordering of electronic degrees of freedom leads to second-order phase transitions that are characterized by an order parameter. The notion "hidden order" (HO) has recently been used for a variety of materials where a…

Strongly Correlated Electrons · Physics 2009-10-11 S. Elgazzar , J. Rusz , M. Amft , P. M. Oppeneer , J. A. Mydosh

Fermi-surface topology governs the relationship between magnetism and superconductivity in iron-based materials. Using low-temperature transport, angle-resolved photoemission, and x-ray diffraction we show unambiguous evidence of large…

Strongly Correlated Electrons · Physics 2014-05-09 K. Gofryk , B. Saparov , T. Durakiewicz , A. Chikina , S. Danzenbächer , D. V. Vyalikh , M. J. Graf , A. S. Sefat

Triple-fold or pseudospin-1 semimetals belong to a class of multi-fold materials in which linearly dispersive bands and flat bands intersect at the same point, forming triple-fold crossing points. We conduct an analytical investigation of…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 A. Yu. Prykhodko , E. V. Gorbar , P. O. Sukhachov

The discovery of topological phases introduces new perspectives and platforms for various interesting physics originally investigated in quantum context and then, on an equal footing, in classic wave systems, such as photonics, acoustics…

The topology of isoenergetic surfaces in reciprocal space for simple (sc), body-centered (bcc), and face-centered (fcc) cubic lattices is investigated in detail in the tight-binding approximation, taking into account the transfer integrals…

Strongly Correlated Electrons · Physics 2022-02-07 P. A. Igoshev , V. Yu. Irkhin

Topological phase transitions involving crystalline symmetry breaking provide a fertile ground to explore the interplay between symmetry, topology, and emergent quantum phenomena. Recently discovered quasi-one-dimensional topological…

Topology plays a cardinal role in explaining phases and quantum phase transitions beyond the Landau-Ginzburg-Wilson paradigm. In this study, we formulate a set of models of Dirac fermions in 2+1 dimensions with…

Strongly Correlated Electrons · Physics 2025-07-15 Gabriel Rein , Marcin Raczkowski , Zhenjiu Wang , Toshihiro Sato , Fakher F. Assaad

Anisotropic dipole-dipole interactions between ultracold dipolar fermions break the symmetry of the Fermi surface and thereby deform it. Here we demonstrate that such a Fermi surface deformation induces a topological phase transition --…

Quantum Gases · Physics 2016-05-25 E. G. C. P. van Loon , M. I. Katsnelson , L. Chomaz , M. Lemeshko

Topological Lifshitz transitions involve many types of topological structures in momentum and frequency-momentum spaces: Fermi surfaces, Dirac lines, Dirac and Weyl points, etc. Each of these structures has their own topological invariant…

Other Condensed Matter · Physics 2019-09-04 G. E. Volovik

A transition state for a Hamiltonian system is a closed, invariant, oriented, codimension-2 submanifold of an energy-level that can be spanned by two compact codimension-1 surfaces of unidirectional flux whose union, called a dividing…

Chaotic Dynamics · Physics 2014-04-18 Robert S MacKay , Dayal C Strub

Different insulator phases compete with each other in strongly correlated materials with simultaneous local and non-local interactions. It is known that the homogeneous Mott insulator converts into a charge density wave (CDW) phase when the…

Effects of short-range electronic interactions in a three-dimensional line-node semimetal that supports linearly dispersing quasiparticles around an isolated loop in the Brillouin zone are discussed. Due to vanishing density of states…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Bitan Roy

Fermi surface is at the heart of our understanding of metals and strongly correlated many-body systems. An abrupt change in the Fermi surface topology, also called Lifshitz transition, can lead to the emergence of fascinating phenomena like…

Recent experiments reveal a three-dimensional (3D) Fermi surface with a clear $k_z$ dispersion in infinite-layer nickelates, distinguishing them from their cuprate superconductor counterparts. However, the impact of this difference on the…

Superconductivity · Physics 2025-04-29 Chengliang Xia , Shengjie Zhou , Hanghui Chen

We study the effective field theory of 2D fermions with a short-range interaction in the presence of a van Hove singularity. We find that there are additional divergences associated with the singularity that necessitate regularization…

Strongly Correlated Electrons · Physics 2018-07-25 Anton Kapustin , Tristan McKinney , Ira Z. Rothstein

We study the superconducting state in the presence of spin-orbital coupling and the Zeeman field. It is found that a phase transition from the Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state occurs upon…

Superconductivity · Physics 2014-06-13 Tao Zhou , Yi Gao , Z. D. Wang

Quantum phase transitions of metals involve changes in the Fermi surface, and can be divided into three categories. The first two categories involve symmetry breaking, and lead to a deformation or reconstruction of the Fermi surface. The…

Strongly Correlated Electrons · Physics 2024-08-20 Subir Sachdev

We prove regularity properties of the self-energy, to all orders in perturbation theory, for systems with singular Fermi surfaces which contain Van Hove points where the gradient of the dispersion relation vanishes. In this paper, we show…

Mathematical Physics · Physics 2009-11-13 Joel Feldman , Manfred Salmhofer