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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

Cooper's formalism for fermionic pairing has been revisited considering upto 3rd neighbour hopping terms, firstly with a Fermi liquid like background on a square lattice keeping in mind the overdopped cuprates. Then the whole scheme is…

Superconductivity · Physics 2018-07-31 Soumi Roy Chowdhury , Ranjan Chaudhury

We consider the experimental properties of superconductors with a gap which is an odd function of energy $\bepsk=\epsk - \mu$, i.e.\ , a gap which vanishes everywhere on the Fermi surface; this is done within a in a BCS framework. Apart…

Condensed Matter · Physics 2009-10-22 M. Dobroliubov , E. Langmann , P. C. E. Stamp

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

Landau Fermi liquid theory, with its pivotal assertion that electrons in metals can be simply understood as independent particles with effective masses replacing the free electron mass, has been astonishingly successful. This is true…

Strongly Correlated Electrons · Physics 2008-10-16 N. Manyala , J. F. DiTusa , G. Aeppli , A. P. Ramirez

A detailed analysis is given of the T^2 term in the resistivity observed in electron-doped SrTiO3. Novel bandstructure data are presented, which provide values for the bare mass, density of states, and plasma frequency of the quasiparticles…

Strongly Correlated Electrons · Physics 2011-11-11 D. van der Marel , J. L. M. van Mechelen , I. I. Mazin

The evolution of Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$ from Mott insulator to superconductor was studied using angle-resolved photoemission spectroscopy. By measuring both the excitations near the Fermi energy as well as non-bonding states,…

The Fermi-liquid theory of superconductivity is applicable to a broad range of systems that are candidates for unconventional pairing. Fundamental differences between unconventional and conventional anisotropic superconductors are…

Superconductivity · Physics 2010-11-16 J. A. Sauls , D. Rainer

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

Superfluids and superconductors are ordinary matter that show a very surprising behavior at low temperatures. As their temperature is reduced, materials of both kinds can abruptly fall into a state in which they will support a persistent,…

History and Philosophy of Physics · Physics 2015-06-15 Leo P. Kadanoff

In unconventional superconductors, it is generally believed that understanding the physical properties of the normal state is a pre-requisite for understanding the superconductivity mechanism. In conventional superconductors like niobium or…

We present fermi liquid expressions for the low temperature behavior of the superfluid stiffness, explain why they differ from those suggested recently by Lee and Wen, and discuss their applicability to data on high-$T_c$ superconductors.…

Strongly Correlated Electrons · Physics 2009-10-30 A. J. Millis , S. M. Grivin , L. B. Ioffe , A. I. Larkin

Conventional superconductivity, as used in this review, refers to electron-phonon coupled superconducting electron-pairs described by BCS theory. Unconventional superconductivity refers to superconductors where the Cooper pairs are not…

Superconductivity · Physics 2017-06-07 G. R. Stewart

We discuss a detailed phase diagram and other microscopic characteristics on the applied magnetic field - temperature (H_a-T) plane for a simple model of correlated fluid represented by a two-dimensional (2D) gas of heavy quasiparticles…

Superconductivity · Physics 2011-09-09 Jan Kaczmarczyk , Jozef Spalek

Dependences of low temperature behavior and anisotropy of various physical quantities for pure unconventional superconductors upon a particular form of momentum direction dependence for the superconducting order parameter (within the…

Condensed Matter · Physics 2009-10-28 Yu. S. Barash , A. A. Svidzinsky

We calculate the quasiparticle scattering rate in the superconducting state of the overdoped cuprates, in the context of the Eliashberg formalism for a Fermi liquid with strong van Hove singularities close to the chemical potential. For a…

Superconductivity · Physics 2009-11-10 George Kastrinakis

In several superconductors above the superconducting transition temperature Tc, the electrical resistivity is of the form {\rho} =AT^2. We show that there exists an empirical relation between Tc and A when both vary with an external…

Superconductivity · Physics 2011-09-06 Manuel Núñez-Regueiro , Gastón Garbarino , María Dolores Núñez-Regueiro

The superconducting order parameter of the first heavy-fermion superconductor CeCu2Si2 is currently under debate. A key ingredient to understand its superconductivity and physical properties is the quasiparticle dispersion and Fermi…

We demonstrate that a dispersion relation of elementary excitations in the Fermi liquid as a superconductor is identical to the one in a quantum liquid HeII. Hence, we show that the superconductivity is, in fact, the same as superfluidity,…

General Physics · Physics 2019-04-10 L. N. Tsintsadze , N. L. Tsintsadze

The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with that of a non-interacting system. In the…

Strongly Correlated Electrons · Physics 2015-05-13 Philip Phillips , Ting-Pong Choy , Robert G. Leigh