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We study several models of $d$-dimensional fermions ($d=1,2,3$) with an emphasis on the properties of their gapless (metallic) phase. It occurs at $T = 0$ as a continuous transition when zeros of the partition function reach the real range…

Strongly Correlated Electrons · Physics 2025-08-25 Gennady Y. Chitov

We develop a theory for a generic instability of a Fermi liquid in dimension d>1 against the formation of a Luttinger-liquid-like state. The density of states at the Fermi level is the order parameter for the ensuing quantum phase…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

Competing scenarios for quantum critical points (QCPs) of strongly interacting Fermi systems signaled by a divergent density of states at zero temperature are contrasted. The conventional scenario, which enlists critical fluctuations of a…

Strongly Correlated Electrons · Physics 2009-04-11 V. A. Khodel , J. W. Clark , M. V. Zverev

One of the early triumphs of quantum physics is the explanation why some materials are metallic whereas others are insulating. While a treatment based on single electron states correctly predicts the character of most materials this…

Strongly Correlated Electrons · Physics 2015-09-02 S. Friedemann , H. Chang , M. B. Gamża , P. Reiss , X. Chen , P. Alireza , W. A. Coniglio , D. Graf , S. Tozer , F. M. Grosche

The quantum phase transition in iron-based superconductors with 'half-Dirac' node at the electron Fermi surface as a $T=0$ structural phase transition described in terms of nematic order is discussed. An effective low energy theory that…

Strongly Correlated Electrons · Physics 2015-10-21 Imam Makhfudz

Condensed-matter community is involved in hot debate on the nature of quantum critical points (QCP) governing the low-temperature properties of heavy fermion metals. The smeared jump like behavior revealed both in the residual resistivity…

Strongly Correlated Electrons · Physics 2023-11-14 V. R. Shaginyan , A. Z. Msezane , M. V. Zverev , Y. S. Leevik

Unconventional metallic states which do not support well defined single-particle excitations can arise near quantum phase transitions as strong quantum fluctuations of incipient order parameters prevent electrons from forming coherent…

Strongly Correlated Electrons · Physics 2017-04-24 Andres Schlief , Peter Lunts , Sung-Sik Lee

Transport measurements on the cuprates suggest the presence of a quantum critical point hiding underneath the superconducting dome near optimal hole doping. We provide numerical evidence in support of this scenario via a dynamical cluster…

Strongly Correlated Electrons · Physics 2015-05-19 D. Galanakis , E. Khatami , K. Mikelsons , A. Macridin , J. Moreno , D. A. Browne , M. Jarrell

We study the quantum phase transition in $f$-electron systems as a quantum Lifshitz transition driven by selective Mott localization in a realistic extended Anderson lattice model. Using DMFT, we find that a quantum critical {\it phase}…

Strongly Correlated Electrons · Physics 2015-05-20 M. S. Laad , S. Koley , A Taraphder

Quantum criticality in systems of local moments interacting with itinerant electrons has become an important and diverse field of research. Here we review recent results which concern (a) quantum phase transitions in single-impurity Kondo…

Strongly Correlated Electrons · Physics 2015-07-19 Matthias Vojta , Ralf Bulla , Peter Wölfle

In this work we revisit itinerant ferromagnetism in 2D and 3D electron gases with arbitrary spin-orbit splitting and strong electron-electron interaction. We identify the resonant scattering processes close to the Fermi surface that are…

Strongly Correlated Electrons · Physics 2023-01-03 Dmitry Miserev , Daniel Loss , Jelena Klinovaja

We derive a general criterion for determining the onset of superradiant phase transition in electronic bands coupled to a cavity field, with possibly electron-electron interactions. For longitudinal superradiance in 2D or genuine 1D…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Daniele Guerci , Pascal Simon , Christophe Mora

We discuss non-Fermi liquid and quantum critical behavior in heavy fermion materials, focussing on the mechanism by which the electron mass appears to diverge at the quantum critical point. We ask whether the basic mechanism for the…

Strongly Correlated Electrons · Physics 2009-11-07 P. Coleman , C. Pepin , Q. Si , R. Ramazashvili

Using the fluctuation exchange approximation of the one band Hubbard model, we discuss the origin of the changing Fermi surface volume in underdoped cuprate systems due to the transfer of occupied states from the Fermi surface to its…

Condensed Matter · Physics 2016-08-31 J. Schmalian , M. Langer , S. Grabowski , K. H. Bennemann

The pseudogap metal phase of the hole-doped cuprates can be described by small Fermi surfaces of electron-like quasiparticles, which enclose a volume violating the Luttinger relation. This violation requires the existence of additional…

Strongly Correlated Electrons · Physics 2023-11-21 Alexander Nikolaenko , Jonas von Milczewski , Darshan G. Joshi , Subir Sachdev

We investigate the Mott transition in weakly-coupled one-dimensional (1d) fermionic chains. Using a generalization of Dynamic Mean Field Theory, we show that the Mott gap is suppressed at some critical hopping $t_{\perp}^{c2}$. The…

Strongly Correlated Electrons · Physics 2007-05-23 C. Berthod , T. Giamarchi , S. Biermann , A. Georges

A new phenomenological model is proposed to describe the evolution of the Fermi surface (FS) in a wide range of dopings. It reproduces the key features of the cuprates in the underdoped phase above the superconducting temperature $T_c$. It…

Strongly Correlated Electrons · Physics 2018-12-26 Ilya Ivantsov , Alvaro Ferraz , Evgenii Kochetov

Recent spectroscopic measurements in a number of strongly correlated metals that exhibit non-Fermi liquid like properties have observed evidence of anomalous frequency and momentum-dependent charge-density fluctuations. Specifically, in the…

Strongly Correlated Electrons · Physics 2023-03-31 Xuepeng Wang , Debanjan Chowdhury

In the vicinity of a quantum critical point, quenched disorder can lead to a quantum Griffiths phase, accompanied by an exotic power-law scaling with a continuously varying dynamical exponent that diverges in the zero-temperature limit.…

Strongly Correlated Electrons · Physics 2021-12-14 Pascal Reiss , David Graf , Amir A. Haghighirad , Thomas Vojta , Amalia I. Coldea

A precursor effect on the Fermi surface in the two-dimensional Hubbard model at finite temperatures near the antiferromagnetic instability is studied using three different itinerant approaches: the second order perturbation theory, the…

Strongly Correlated Electrons · Physics 2009-09-25 Taiichiro Saikawa , Alvaro Ferraz
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