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The Fermi sea of a metal can host exotic quantum topology, which governs its conductance quantization and is characterized by the Euler characteristic ($\chi_F$). In contrast to the well-known band topology, which is determined by the…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Wei Jia

Novel topological state of matter is one of the rapidly growing fields in condensed matter physics research in recent times. While these materials are fascinating from the aspect of fundamental physics of relativistic particles, their…

Materials Science · Physics 2017-07-25 Ratnadwip Singha , Biswarup Satpati , Prabhat Mandal

The quantum phase transitions of metals have been extensively studied in the rare-earth "heavy electron" materials, the cuprates, and related compounds. The Fermi surface of the metal often has different shapes in the states well away from…

Strongly Correlated Electrons · Physics 2007-05-23 Ribhu K. Kaul , Alexei Kolezhuk , Michael Levin , Subir Sachdev , T. Senthil

We analyze quantum fluctuation effects at the onset of incommensurate $2k_F$ charge- or spin-density wave order in two-dimensional metals, for a model where the ordering wave vector $\boldsymbol{Q}$ connects a single pair of hot spots on…

Strongly Correlated Electrons · Physics 2024-07-09 Lukas Debbeler , Walter Metzner

The fractional quantum Hall (FQH) effect was discovered in two-dimensional electron systems subject to a large perpendicular magnetic field nearly four decades ago. It helped launch the field of topological phases, and in addition, because…

Strongly Correlated Electrons · Physics 2020-03-02 R. N. Bhatt , Matteo Ippoliti

The geometry of Fermi sea hosts a unique form of quantum topology that governs the conductance quantization of metal and is characterized by the Euler characteristic $\chi_F$, offering a new perspective in the study of topological quantum…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Wei Jia

We review recent experimental measurements of the Fermi surface of the iron-pnictide superconductor LaFePO using quantum oscillation techniques. These studies show that the Fermi surface topology is close to that predicted by first…

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

We show that the quantum geometry of the Fermi surface can be numerically described by a 3-dimensional discrete quantum manifold. This approach not only avoids singularities in the Fermi sea, but it also enables the precise computation of…

Materials Science · Physics 2021-11-12 Jie-Xiang Yu , Jiadong Zang , Roger K. Lake , Yi Zhang , Gen Yin

We study a model comprising $N$ flavors of K\"ahler Dirac fermion propagating on a triangulated two dimensional disk which is constrained to have a negative average bulk curvature. Dirichlet boundary conditions are chosen for the fermions.…

High Energy Physics - Lattice · Physics 2024-08-08 Muhammad Asaduzzaman , Simon Catterall , Abhishek Samlodia

A study of the Fermi surface of the putative topological semimetal Pd$_3$Pb has been carried out using Shubnikov-de Haas (SdH) oscillations measured in fields of up to 60 T. Pd$_3$Pb has garnered attention in the community due to a peculiar…

Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

The Fermi arcs of topological surface states in the three-dimensional multi-Weyl semimetals on surfaces by a continuum model are investigated systematically. We calculated analytically the energy spectra and wave function for bulk…

Mesoscale and Nanoscale Physics · Physics 2021-11-03 Y. C. Liu , V. Wang , J. B. Lin , J. Nara

We present a study of angle-resolved quantum oscillations of electric and thermoelectric transport coefficients in semi-metallic WTe$_{2}$, which has the particularity of displaying a large B$^{2}$ magneto-resistance. The Fermi surface…

Materials Science · Physics 2015-05-06 Zengwei Zhu , Xiao Lin , Juan Liu , Benoit Fauque , Qian Tao , Chongli Yang , Youguo Shi , Kamran Behnia

We report extensive measurements of quantum oscillations in the normal state of the Fe-based superconductor LaFePO, (Tc ~ 6 K) using low temperature torque magnetometry and transport in high static magnetic fields (45 T). We find that the…

Quantum geometry, including quantum metric and Berry curvature, which describes the topology of electronic states, can induce fascinating physical properties. Symmetry-dependent nonlinear transport has emerged as a sensitive probe of these…

We report the results of extensive dynamical cluster approximation calculations, based on a quantum Monte Carlo solver, for the two-dimensional Kondo lattice model. Our particular cluster implementation renders possible the simulation of…

Strongly Correlated Electrons · Physics 2010-12-07 L. C. Martin , M. Bercx , F. F. Assaad

While sign-coherent 4-dimensional structures cannot dominate topological charge fluctuations in the QCD vacuum at all scales due to reflection positivity, it is possible that enhanced coherence exists over extended space-time regions of…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , H. B. Thacker , J. B. Zhang

The complete lack of theoretical understanding of the quantum critical states found in the heavy fermion metals and the normal states of the high-T$_c$ superconductors is routed in deep fundamental problem of condensed matter physics: the…

Strongly Correlated Electrons · Physics 2008-07-08 Frank Krüger , Jan Zaanen

We present detailed studies of the high-field magnetoresistance of the layered organic metal $\kappa$-(BETS)$_2$\-Mn\-[N(CN)$_2$]$_3$ under a pressure slightly above the insulator-metal transition. The experimental data are analysed in…

Strongly Correlated Electrons · Physics 2019-03-22 V. N. Zverev , W. Biberacher , S. Oberbauer , I. Sheikin , P. Alemany , E. Canadell , M. V. Kartsovnik