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The quasiparticles in the normal state of cuprate superconductors have been shown to behave universally as a 3-dimensional Fermi liquid. Because of interactions and the presence of the Fermi surfaces (or Fermi energies), the quasiparticle…

Superconductivity · Physics 2023-10-18 Setsuo Misawa

Hidden Fermi liquid theory explicitly accounts for the effects of Gutzwiller projection in the t-J Hamiltonian, widely believed to contain the essential physics of the high-Tc superconductors. We derive expressions for the entire "strange…

Superconductivity · Physics 2015-05-27 Philip A. Casey , Philip W. Anderson

These lectures present the Fermi-liquid theory of superconductivity, which is applicable to a broad range of systems that are candidates for non-s wave pairing, {\it e.g.} the heavy fermions, organic metals and the CuO superconductors.…

Superconductivity · Physics 2024-08-26 P. Muzikar , D. Rainer , J. A. Sauls

We consider the behavior of quasiparticles in the superconducting state of high-T_c metals within the framework of the theory of superconducting state based on the fermion condensation quantum phase transition. We show that the behavior…

Strongly Correlated Electrons · Physics 2009-11-10 M. Ya. Amusia , V. R. Shaginyan

Fermi liquid theory is used to generate the Ginzburg-Landau free energy functionals for unconventional superconductors belonging to various representations. The parameters defining the GL functional depend on Fermi surface anisotropy,…

Superconductivity · Physics 2024-06-11 J. A. Sauls

Conduction electrons interacting with a dynamic impurity can give rise to a local Fermi liquid. The latter has the same low energy spectrum as an ideal Fermi gas containing a static impurity. The Fermi liquids's elementary excitations are…

Strongly Correlated Electrons · Physics 2023-08-31 I. Snyman

Theories of the magnetotransport, based on the quasipartricle of the Fermi-liquid, in the normal state of high-Tc cuprate superconductors, are critically examined and the necessity of the collective transport theory beyond the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 O. Narikiyo

Strongly correlated Fermi systems are among the most intriguing, best experimentally studied and fundamental systems in physics. There is, however, lack of theoretical understanding in this field of physics. The ideas based on the concepts…

Strongly Correlated Electrons · Physics 2011-11-22 V. R. Shaginyan

A variety of low-temperature, normal-state properties of optimally and overdoped cuprate superconductors, including the DC and optical transport responses, are sufficiently anomalous that they might seem to be inconsistent with any…

Strongly Correlated Electrons · Physics 2022-12-07 Erez Berg , Gaël Grissonnanche , Steven A. Kivelson , Chaitanya Murthy , Akshat Pandey , B. J. Ramshaw , Boris Z. Spivak

Interacting fermion systems in one dimension, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional exchange statistics. This is shown…

Strongly Correlated Electrons · Physics 2021-04-19 Jon Magne Leinaas

We use magnetic quantum oscillations in the underdoped high Tc superconductor YBa_2Cu_3O_(6+x) (x=0.56) measured over a broad range of temperatures 100 mK<T<18 K to extract the form of the distribution function describing the low-lying…

It is well-known that, generically, the one-dimensional interacting fermions cannot be described in terms of the Fermi liquid. Instead, they present different phenomenology, that of the Tomonaga-Luttinger liquid: the Landau quasiparticles…

Strongly Correlated Electrons · Physics 2014-05-20 A. V. Rozhkov

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely high temperature superconductivity and the fractional quantum…

Strongly Correlated Electrons · Physics 2015-05-13 J. K. Jain , P. W. Anderson

We discuss how one-dimensional interacting fermion systems, which in the low energy approximation are described by Luttinger liquid theory, can be reformulated as systems of weakly interacting particles with fractional charge and…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Jon Magne Leinaas

Marginal Fermi liquid was originally introduced as a phenomenological description of the cuprates in a part of the metallic doping range which appears to be governed by fluctuations due to a quantum-critical point. An essential result due…

Strongly Correlated Electrons · Physics 2009-01-24 A. Shekhter , C. M. Varma

A theory of strongly correlated electron or hole liquids with the fermion condensate is presented and applied to the consideration of quasiparticle excitations in high temperature superconductors, in their superconducting and normal states.…

Strongly Correlated Electrons · Physics 2007-05-23 V. R. Shaginyan

The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist borderline cases where weak scale…

Strongly Correlated Electrons · Physics 2020-08-19 Joshuah T. Heath

It is generally believed that behaviours of quasiparticles (holes) in high-$T_{\rm C}$ cupurates should be attributed to the two-dimensional (2D) electronic states in the CuO$_{2}$ planes. The various anomalies of the transport coefficients…

Superconductivity · Physics 2009-11-07 Setsuo Misawa

I attempt to give a pedagogical overview of the progress which has occurred during the past decade in the description of one-dimensional correlated fermions. Fermi liquid theory based on a quasi-particle picture, breaks down in one…

Condensed Matter · Physics 2009-10-28 Johannes Voit

We use gauge-gravity duality to model the crossover from a conformal critical point to a confining Fermi liquid, driven by a change in fermion density. The short-distance conformal physics is represented by an anti-de Sitter geometry, which…

High Energy Physics - Theory · Physics 2011-09-22 Subir Sachdev
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