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We discuss the possibility that heavy fermion superconductors involve odd-frequency pairing of the kind first considered by Berezinskii. Using a toy model for odd frequency triplet pairing in the Kondo lattice we are able to examine key…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

In order to clarify whether the odd-frequency superconductivity can be realized or not, we study a quasi-one-dimensional triangular lattice in the Hubbard model using the random phase approximation (RPA) and the fluctuation exchange (FLEX)…

Superconductivity · Physics 2013-02-13 Keisuke Shigeta , Seiichiro Onari , Keiji Yada , Yukio Tanaka

Using Majorana Fermions to represent spins we re-examine the Kondo Lattice model for heavy fermions. The simplest decoupling procedure provides a realization of odd frequency superconductivity, with resonant pairing and surfaces of gap…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

Emergence of odd-frequency s-wave superconductivity is demonstrated in the two-channel Kondo lattice by means of the dynamical mean-field theory combined with the continuous-time quantum Monte Carlo method. Around half filling of the…

Strongly Correlated Electrons · Physics 2014-05-02 Shintaro Hoshino , Yoshio Kuramoto

The explanation of heavy-fermion superconductivity is a long-standing challenge to theory. It is commonly thought to be connected to non-local fluctuations of either spin or charge degrees of freedom and therefore of unconventional type.…

Strongly Correlated Electrons · Physics 2013-04-15 Oliver Bodensiek , Rok Zitko , Matthias Vojta , Mark Jarrell , Thomas Pruschke

Junction systems of odd-frequency (OF) superconductors are investigated based on a mean-field Hamiltonian formalism. One-dimensional two-channel Kondo lattice (TCKL) is taken as a concrete example of OF superconductors. Properties of normal…

Superconductivity · Physics 2016-06-15 Shintaro Hoshino , Keiji Yada , Yukio Tanaka

We propose that the development of odd-frequency superconductivity is driven by the collective formation of neutral three body bound-states. Using a three-body bound-state ansatz we develop a mean-field theory for odd-frequency pairing…

Condensed Matter · Physics 2009-10-22 P. Coleman , E. Miranda , A. Tsvelik

Odd-frequency superconductivity describes a class of superconducting states where the superconducting gap is an odd function in relative time and Matsubara frequency. We present a group theoretical analysis based on the linearized gap…

Superconductivity · Physics 2018-01-17 R. Matthias Geilhufe , Alexander V. Balatsky

Odd-frequency superconductivity represents a truly unconventional ordered state which, in contrast to conventional superconductivity, exhibits pair correlations which are odd in relative time and, hence, inherently dynamical. In this review…

Mesoscale and Nanoscale Physics · Physics 2020-02-14 Jorge Cayao , Christopher Triola , Annica M. Black-Schaffer

We analyze a two-dimensional Kondo lattice model with special emphasis on non-Hermitian properties of the single-particle spectrum, following a recent proposal by Kozii and Fu. Our analysis based on the dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2018-08-01 Tsuneya Yoshida , Robert Peters , Norio Kawakami

We analyze a possibility for odd-frequency pairing near a quantum critical point(QCP) in a metal. We consider a model with dynamical pairing interaction $V(\Omega_n)\sim 1/|\Omega_n|^\gamma$ (the $\gamma$-model). This interaction gives rise…

Strongly Correlated Electrons · Physics 2022-10-05 Yi-Ming Wu , Shang-Shun Zhang , Artem Abanov , Andrey V. Chubukov

Cooper's original one pair problem in continuum is revisited here corresponding to a lattice of tight binding nature, with an aim to investigate superconductivity in low dimensional systems. An electronic type of boson mediated attraction…

Superconductivity · Physics 2014-04-24 Soumi Roy Chowdhury , Ranjan Chaudhury

We have theoretically studied the effect of disorder on ultracold alkaline-earth atoms governed by the Kondo lattice model in an optical lattice via simplified double-well model and hybridization mean-field theory. Disorder-induced…

Quantum Gases · Physics 2014-12-10 Bo-Nan Jiang , Jun Qian , Wen-Li Wang , Juan Du , Yu-Zhu Wang

The one dimensional Kondo lattice model is investigated using Quantum Monte Carlo and transfer matrix techniques. In the strong coupling region ferromagnetic ordering is found even at large band fillings. In the weak coupling region the…

Condensed Matter · Physics 2007-05-23 Matthias Troyer , Diethelm Würtz

Magnetic and charge susceptibilities in the Kondo lattice are derived by the continuous-time quantum Monte Carlo (CT-QMC) method combined with the dynamical mean-field theory. For a weak exchange coupling J and near half filling of the…

Strongly Correlated Electrons · Physics 2009-03-18 Junya Otsuki , Hiroaki Kusunose , Yoshio Kuramoto

The Kondo lattice model plays a key role in our understanding of quantum materials, but a lack of small parameters has posed a long-standing problem. We present a 3 dimensional S= 1/2 Kondo lattice model describing a spin liquid within an…

Strongly Correlated Electrons · Physics 2022-10-19 Piers Coleman , Aaditya Panigrahi , Alexei Tsvelik

We investigate pairing symmetry in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) vortex state and vortex lattice, and explain the electronic structure in these states in terms of pairing symmetry. We show analytically that at the intersection…

Superconductivity · Physics 2015-05-13 Takehito Yokoyama , Masanori Ichioka , Yukio Tanaka

A possibility of the odd-frequency pairing in the strong-coupling electron-phonon systems is discussed. Using the Holstein-Hubbard model, we demonstrate that the anomalously soft Einstein mode with the frequency $\omega_{\rm…

Superconductivity · Physics 2015-05-20 Hiroaki Kusunose , Yuki Fuseya , Kazumasa Miyake

In this article we review recent progress in the understanding of multiband superconductivity and its relationship to odd-frequency pairing. We begin our discussion by reviewing the emergence of odd-frequency pairing in a simple two-band…

Superconductivity · Physics 2020-03-18 Christopher Triola , Jorge Cayao , Annica M. Black-Schaffer

The one-dimensional Kondo lattice model (1D KLM) is usually defined by the Kondo exchange $J$ between conduction electrons and spins of the array, and the hopping strength t for the moving electrons. Here, we also include a direct exchange…

Strongly Correlated Electrons · Physics 2016-08-31 K. Le Hur
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