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In this chapter we review the essentials of conventional electron-phonon superconductivity, as provided through the Migdal-Eliashberg formalism. Signatures of the electron-phonon interaction, as they appear in conventional superconductors,…

超导电性 · 物理学 2007-05-23 F. Marsiglio , J. P. Carbotte

Dynamical simulations of polaron transport in conjugated polymers in the presence of an external time-dependent electric field have been performed within a combined extended Hubbard model (EHM) and Su-Schrieffer-Heeger (SSH) model. Nearly…

材料科学 · 物理学 2016-09-28 Haibo Ma , Ulrich Schollwoeck

We introduce a new type of Gutzwiller variational wavefunction for correlated electrons coupled to phonons, able to treat on equal footing electronic and lattice degrees of freedom. We benchmark the wavefunction in the infinite-$U$…

强关联电子 · 物理学 2007-07-24 P. Barone , R. Raimondi , M. Capone , C. Castellani , M. Fabrizio

Using a variational Monte Carlo method, we study competitions of strong electron-electron and electron-phonon interactions in the ground state of Holstein-Hubbard model on a square lattice. At half filling, an extended intermediate metallic…

超导电性 · 物理学 2017-11-10 Takahiro Ohgoe , Masatoshi Imada

The explanation of the nature of superconducting gap in high temperature superconductors (HTSC) is a fundamental task which solution can lead to the understanding of superconducting mechanism. However, it has not been fully solved yet. From…

超导电性 · 物理学 2019-09-13 Victor Lakhno

Studies of Hamiltonians modeling the coupling between electrons as well as to local phonon excitations have been fundamental in capturing the novel ordering seen in many quasi-one dimensional condensed matter systems. Extending studies of…

强关联电子 · 物理学 2023-06-21 Nahom K. Yirga , Ka-Ming Tam , David K. Campbell

By means of the first-principles density-functional theory calculation and Wannier interpolation, electron-phonon coupling and superconductivity are systematically explored for boron-doped LiBC (i.e. LiB$_{1+x}$C$_{1-x}$), with $x$ between…

超导电性 · 物理学 2018-06-29 Qi-Zhi Li , Xun-Wang Yan , Miao Gao , Jun Wang

Electron-phonon interactions play a key role in many branches of solid-state physics. Here, our focus is on the transport properties of one-dimensional systems, and we apply efficient real-time matrix-product state methods to compute the…

强关联电子 · 物理学 2023-08-21 David Jansen , Fabian Heidrich-Meisner

It is generally accepted that the dynamical mean field theory gives a good solution of the Holstein model, but only in dimensions greater than two. Here, we show that this theory, which becomes exact in the weak coupling and in the atomic…

强关联电子 · 物理学 2022-08-24 Petar Mitrić , Veljko Janković , Nenad Vukmirović , Darko Tanasković

Electron pairing is central to modern concepts of superconductivity, and provides a basis for the ubiquitous presence of h/2e in the theory and phenomenology. However, the lack of a consistent real-space picture of phonon-mediated pairing…

超导电性 · 物理学 2009-09-17 Alan M. Kadin

We present numerically exact solutions to the problem of a single electron interacting through a long range interaction with optical phonons in two and three dimensions. Comparisons are made with results for the standard Holstein model, and…

强关联电子 · 物理学 2015-11-17 Carl J. Chandler , F. Marsiglio

We consider two issues related to the condensation energy in superconductors described by the Eliashberg theory for various forms of the pairing interaction, associated either with phonon or electronic mechanisms of superconductivity.…

超导电性 · 物理学 2016-08-31 Evelina Tsoncheva , Andrey V. Chubukov

We investigate the electronic and phonon properties of hydrogen sulfide (SH$_3$) under ultrahigh pressure to elucidate the origin of its high-T$_c$ superconductivity. Contrary to the prevailing belief that the metalized S-H $\sigma$ bond is…

超导电性 · 物理学 2023-06-07 Jian-Feng Zhang , Bo Zhan , Miao Gao , Kai Liu , Xinguo Ren , Zhong-Yi Lu , Tao Xiang

We study the combined effects of electron-phonon coupling and dot-lead repulsion in the transport properties of the Anderson-Holstein model. We employ a recently proposed nonperturbative method to calculate the transient response of the…

介观与纳米尺度物理 · 物理学 2015-03-12 E. Perfetto , G. Stefanucci

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

强关联电子 · 物理学 2017-03-27 Tao Sun

We introduce a simple ansatz for the wavefunction of a many-body system based on coupled forward and backward-propagating semiclassical trajectories. This method is primarily aimed at, but not limited to, treating nonequilibrium dynamics in…

化学物理 · 物理学 2018-05-01 Shunsuke A. Sato , Aaron Kelly , Angel Rubio

Based on the Schrodinger equation, exact expressions for the non-relativistic particle energy in the local external field and the external field potential are derived as inhomogeneous density functionals. On this basis, it is shown that,…

统计力学 · 物理学 2012-01-17 V. B. Bobrov , S. A. Trigger

The dispersion of the in-plane Cu-O bond-stretching LO phonon mode in the high-$T_{C}$ superconducting cuprates shows strong softening with doping near the zone boundary. We suggest that it can be described with a negative electronic…

超导电性 · 物理学 2009-11-07 Masashi Tachiki , Masahiko Machida , Takeshi Egami

We show that in crystals where light ions are symmetrically intercalated between heavy ions, the electron-phonon coupling for carriers located at the light sites cannot be described by a Holstein model. We introduce the double-well…

强关联电子 · 物理学 2014-05-09 Clemens P. J. Adolphs , Mona Berciu

High-temperature superconductivity (HTS) of cuprates represents a challenge to the conventional theory. Here I review a multi-polaron approach to the problem based on our extension of the BCS theory to the strong-coupling regime. Since…

超导电性 · 物理学 2008-05-23 A. S. Alexandrov