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Related papers: Fermi-Liquid Interactions in d-Wave Superconductor

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We review some aspects of the renormalization group method for interacting fermions. Special emphasis is placed on the application of scaling theory to quasi-one-dimensional systems at non zero temperature. We begin by introducing the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais , B. Guay , R. Wortis

The aspect of the quasiparticle interaction of a local Fermi liquid, the impurity version of f$^2$-based heavy fermions, is studied by the Wilson numerical renormalization group method. In particular, the case of the f$^2$-singlet…

Strongly Correlated Electrons · Physics 2009-11-11 Kazumasa Hattori , Satoshi Yotsuhashi , Kazumasa Miyake

We develop a consistent formalism in order to explore the effects of density and spin fluctuations on the quasi-particle properties and on the pairing critical temperature of a trapped Fermi gas on the attractive side of a Feshbach…

Statistical Mechanics · Physics 2009-11-10 Luca Giorgetti , Luciano Viverit , Giorgio Gori , Francisco Barranco , Enrico Vigezzi , Ricardo A. Broglia

We prove the convergence of the perturbative expansion, based on Renormalization Group, of the two point Schwinger function of a system of weakly interacting fermions in d=2, with symmetric Fermi surface and up to exponentially small…

Statistical Mechanics · Physics 2015-06-24 Giuseppe Benfatto , Alessandro Giuliani , Vieri Mastropietro

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

The physics of quantum degenerate Fermi gases in uniform as well as in harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is given to the effect of interactions which play a crucial role, bringing the…

Other Condensed Matter · Physics 2009-11-13 Stefano Giorgini , Lev P. Pitaevskii , Sandro Stringari

Basing on the density functional theory of fermion condensation, we analyze the non-Fermi liquid behavior of strongly correlated Fermi-systems such as heavy-fermion metals. When deriving equations for the effective mass of quasiparticles,…

Strongly Correlated Electrons · Physics 2009-05-14 V. R. Shaginyan , M. Ya. Amusia , K. G. Popov

Singlet pairing in a Fermi superfluid is frustrated when the amounts of fermions of each pairing partner are unequal. The resulting `imbalanced superfluid' has been realized experimentally for ultracold atomic gases with s-wave…

Superconductivity · Physics 2008-07-28 J. Tempere , S. N. Klimin , J. T. Devreese , V. V. Moshchalkov

We derive a theory of superfluidity for a dilute Fermi gas that is valid when scattering resonances are present. The treatment of a resonance in many-body atomic physics requires a novel mean-field approach starting from an unconventional…

Soft Condensed Matter · Physics 2009-11-07 S. J. J. M. F. Kokkelmans , J. N. Milstein , M. L. Chiofalo , R. Walser , M. J. Holland

The low temperature properties of a wide range of many-fermion systems are well understood within the framework of Landau's theory of Fermi liquids. The low-energy physics of these systems is governed by interacting fermionic quasiparticles…

Superconductivity · Physics 2022-03-30 Wei-Ting Lin , J. A. Sauls

We investigate many-body effects on a mixture of interacting bosons and fermions loaded in an optical lattice using a generalized dynamical mean field theory combined with the numerical renormalization group. We show that strong correlation…

Quantum Gases · Physics 2015-06-05 Kazuto Noda , Robert Peters , Norio Kawakami , Thomas Pruschke

Model lattices such as the kagome and Lieb lattices have been widely investigated to elucidate the properties of interacting flat-band systems. While a quasicrystal does not have proper bands, the non-interacting density of states of…

Strongly Correlated Electrons · Physics 2025-08-28 Yuxi Zhang , Richard T. Scalettar , Rafael M. Fernandes

We use scaling and renormalization-group techniques to analyze the leading nonanalyticities in a Fermi liquid. We show that a physically motivated scaling hypothesis reproduce the results known from perturbation theory for the density of…

Strongly Correlated Electrons · Physics 2014-03-26 D. Belitz , T. R. Kirkpatrick

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

Understanding how strongly correlated two-dimensional (2D) systems can give rise to unconventional superconductivity with high critical temperatures is one of the major unsolved problems in condensed matter physics. Ultracold 2D Fermi gases…

Quantum Gases · Physics 2021-06-09 Lennart Sobirey , Niclas Luick , Markus Bohlen , Hauke Biss , Henning Moritz , Thomas Lompe

Quasiparticle bound states are found theoretically on transparent interfaces of d-wave superconductors (dSC) with charge density wave solids (CDW), as well as s-wave superconductors (sSC) with d-density waves (DDW). These bound states…

Superconductivity · Physics 2009-11-10 I. V. Bobkova , Yu. S. Barash

We study the fermionic quasiparticle spectrum in a zero-temperature superfluid Fermi gas, and in particular how it is modified by different disintegration processes. On top of the disintegration by emission of a collective boson ($1\to2$,…

Quantum Gases · Physics 2022-03-30 Senne Van Loon , Jacques Tempere , Hadrien Kurkjian

We present a renormalization group analysis of two-dimensional interacting fermion systems with a closed and partially flat Fermi surface. Numerical solutions of the one-loop flow equations show that for a bare local repulsion, the system…

Strongly Correlated Electrons · Physics 2009-11-07 S. Dusuel , F. Vistulo de Abreu , B. Doucot

A two-dimensional (2D) harmonically trapped interacting Fermi gas is anticipated to exhibit a quantum anomaly and possesses a breathing mode at frequencies different from a classical scale invariant value $\omega_{B}=2\omega_{\perp}$, where…

Quantum Gases · Physics 2019-02-27 Hui Hu , Brendan C. Mulkerin , Umberto Toniolo , Lianyi He , Xia-Ji Liu

We study the effects of superfluidity on the monopole and quadrupole collective excitations of a dilute ultra-cold Fermi gas with an attractive interatomic interaction. The system is treated fully microscopically within the Bogoliubov-de…

Other Condensed Matter · Physics 2007-05-23 M. Grasso , E. Khan , M. Urban