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We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

The Fermi surface topology in the two-dimensional Hubbard model is particularly relevant for the high-temperature superconductors, whereas its theoretical research encounters with the difficulty of the analytical continuation problem. To…

Strongly Correlated Electrons · Physics 2023-05-10 Zhipeng Sun

We perform a systematic study of the signatures of fragile topology in over 50 nonmagnetic two-dimensional materials with formula AB$_2$, belonging to space group $P$-$3m1$. Using group theory analysis in the framework of topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Olga Arroyo-Gascón , Sergio Bravo , Leonor Chico , Mónica Pacheco

In many-body systems with U(1) global symmetry, the charge fluctuations in a subregion reveal important insights into entanglement and other global properties. For subregions with sharp corners, bipartite fluctuations have been predicted to…

Strongly Correlated Electrons · Physics 2025-08-11 Xiao-Chuan Wu , Kang-Le Cai , Meng Cheng , Prashant Kumar

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

Condensed Matter · Physics 2009-10-30 S. P. Novikov , A. Ya. Maltsev

We study signatures of magnetic quantum oscillations in three-dimensional nodal line semimetals at zero temperature. The extended nature of the degenerate bands can result in a Fermi surface geometry with topological genus one, as well as a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Hui Yang , Roderich Moessner , Lih-King Lim

Recent studies have revealed that the quantum geometry of electronic bands determines the electromagnetic properties of non-interacting insulators and semimetals. However, the role of quantum geometry in the optical responses of interacting…

Strongly Correlated Electrons · Physics 2026-04-01 Deven P. Carmichael , Martin Claassen

Fluctuations of conserved quantities within a subsystem are non-local observables that provide unique insights into quantum many-body systems. In this paper, we study bipartite charge (and spin) fluctuations across interaction-driven…

Strongly Correlated Electrons · Physics 2025-08-11 Xiao-Chuan Wu

A time reversal invariant (TRI) topological superconductor has a full pairing gap in the bulk and topologically protected gapless states on the surface or at the edge. In this paper, we show that in the weak pairing limit, the topological…

Superconductivity · Physics 2010-04-06 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

The symmetry and geometry of the Fermi surface play an essential role in governing the transport properties of a metallic system. A Fermi surface with reduced symmetry is intimately tied to unusual transport properties such as anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Min Li , Qingxin Li , Xin Lu , Hua Fan , Kenji Watanabe , Takashi Taniguchi , Yue Zhao , Xin-Cheng Xie , Lei Wang , Jianpeng Liu

We study the deformation of a Fermi surface (FS) near charge-ordering (CO) transition. By applying a fluctuation-exchange approximation to the two-dimensional extended Hubbard model, we show that the FS is largely modified by strong charge…

Materials Science · Physics 2011-11-28 Kazuyoshi Yoshimi , Takeo Kato , Hideaki Maebashi

We show that for two-band systems nonsymmorphic symmetries may enforce the existence of band crossings in the bulk, which realize Fermi surfaces of reduced dimensionality. We find that these unavoidable crossings originate from the momentum…

Mesoscale and Nanoscale Physics · Physics 2016-11-07 Y. X. Zhao , Andreas P. Schnyder

Fermi arcs represent the surface states at the boundary of a three-dimensional topological semimetal with the vacuum, illustrating the notion of bulk-boundary correspondence playing out in real materials. Their special character is tied up…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Ipsita Mandal

We report a study of the Fermi surface of the chiral semimetal CoSi and its relationship to a network of multifold topological crossing points,Weyl points, and topological nodal planes in the electronic band structure. Combining quantum…

Measuring charge fluctuations within a subregion provides a powerful probe of quantum many-body systems. In two spatial dimensions, the shape dependence of the dimensionless corner contribution encodes universal data of quantum critical…

Strongly Correlated Electrons · Physics 2026-05-15 Xiao-Chuan Wu , Pok Man Tam , Xuyang Liang , Zenan Liu , Dao-Xin Yao , Zheng Yan , Shinsei Ryu

We consider the behavior of classical and quantum oscillations in metals with complex Fermi surfaces near the directions of $\, {\bf B} \, $ corresponding to changes in the topological structure of the dynamical system describing the…

Materials Science · Physics 2022-01-19 A. Ya. Maltsev

Noncentrosymmetric metals such as Li$_2$(Pd$_{1-x}$Pt$_x$)$_3$B have different Fermi surface topology below and above the band touching point where spin-degeneracy is not lifted by the spin-orbit coupling. We investigate thermoelectric and…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Sonu Verma , Tutul Biswas , Tarun Kanti Ghosh

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

Mesoscale and Nanoscale Physics · Physics 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

Luttinger's theorem is a fundamental result in the theory of interacting Fermi systems: it states that the volume inside the Fermi surface is left invariant by interactions, if the number of particles is held fixed. Although this is…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran

We demonstrate that nearly critical quantum magnetic fluctuations in strongly correlated electron systems can change the Fermi surface topology and also lead to spin charge separation (SCS) in two dimensions. To demonstrate these effects we…

Superconductivity · Physics 2012-07-23 Michael Holt , Jaan Oitmaa , Wei Chen , Oleg P. Sushkov
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