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相关论文: The bipolaron in the strong coupling limit

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We develop a consistent theory of the interlayer exciton-polaron formed in atomically-thin bilayers. Coulomb attraction between an electron and a hole situated in the different layers results in their flexural deformation and provides an…

介观与纳米尺度物理 · 物理学 2022-06-01 Z. A. Iakovlev , M. A. Semina , M. M. Glazov , E. Ya. Sherman

Fr\"{o}hlich's polaron Hamiltonian describes an electron coupled to the quantized phonon field of an ionic crystal. We show that in the strong coupling limit the dynamics of the polaron is approximated by an effective non-linear partial…

数学物理 · 物理学 2017-03-08 Rupert L. Frank , Zhou Gang

We study theoretically the transport properties of a molecular two level system with large electron-vibron coupling in the Coulomb blockade regime. We show that when the electron-vibron coupling induces polaron states, the current-voltage…

介观与纳米尺度物理 · 物理学 2009-11-10 Gregers A. Kaat , Karsten Flensberg

We consider the one-dimensional Froehlich polaron localized in a symmetric decreasing electric potential. It is known that the non-linear Pekar functional corresponding to our model admits a unique minimizer. In the strong-coupling limit,…

数学物理 · 物理学 2015-05-20 Rohan Ghanta

Light-mass bipolarons in off-diagonally coupled electron-phonon systems provide a potential route to bipolaronic high-Tc superconductivity. While there has been numerical progress in the physically relevant limit of slow phonons, more…

超导电性 · 物理学 2023-08-28 Martin Grundner , Tizian Blatz , John Sous , Ulrich Schollwöck , Sebastian Paeckel

We consider the Fr\"ohlich model of a polaron, and show that its effective mass diverges in the strong coupling limit.

数学物理 · 物理学 2020-08-20 Elliott H. Lieb , Robert Seiringer

The spatially localized bound states of two electrons in the adiabatic two-dimensional Holstein-Hubbard model on a square lattice are investigated both numerically and analytically. The interplay between the electron-phonon coupling g,…

超导电性 · 物理学 2009-10-31 Laurent Proville , Serge Aubry

We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state of the paired electrons to a soliton-like lattice…

强关联电子 · 物理学 2011-09-20 M. G. Velarde , L. Brizhik , A. P. Chetverikov , L. Cruzeiro , W. Ebeling , G. Röpke

We analyze the ground state energy for N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We allow for mass ratios M > 1.225 between the impurity mass and the mass of a fermion and…

数学物理 · 物理学 2020-12-18 David Mitrouskas

Electrons coupled to local lattice deformations end up in selftrapped localized molecular states involving their binding into bipolarons when the coupling is stronger than a certain critical value. Below that value they exist as essentially…

超导电性 · 物理学 2009-11-11 J. Ranninger , A. Romano

The present work is a reply to the paper [1]. It is proven that the argumentation of Ref. [1] is inconsistent. The variational functional for the polaron ground state energy considered in Ref. [1] contains an incomplete recoil energy. Since…

其他凝聚态物理 · 物理学 2015-06-11 S. N. Klimin , J. T. Devreese

We use a non-perturbative renormalization group approach to develop a unified picture of the Bose polaron problem, where a mobile impurity is strongly interacting with a surrounding Bose-Einstein condensate (BEC). A detailed theoretical…

量子气体 · 物理学 2017-07-12 Fabian Grusdt , Richard Schmidt , Yulia E. Shchadilova , Eugene A. Demler

The ground-state electron density of a polaron bound to a Coulomb potential in a homogeneous magnetic field--the transverse coordinates integrated out--converges pointwise and weakly in the strong magnetic field limit to the square of a…

数学物理 · 物理学 2024-06-19 Rohan Ghanta

We present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and based on an exact expansion around the ground state formed…

统计力学 · 物理学 2011-02-23 L. Samaj , E. Trizac

The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a…

数学物理 · 物理学 2017-11-22 Marcel Griesemer

When the electron-phonon coupling is quadratic in the phonon coordinates, electrons can pair to form bipolarons due to phonon zero-point fluctuations, a purely quantum effect. We study superconductivity originating from this pairing…

超导电性 · 物理学 2024-09-18 Zhaoyu Han , Steven A. Kivelson , Pavel A. Volkov

We study analytically and numerically dynamics and eigenstates of two electrons with Coulomb repulsion on a tight-binding lattice in one and two dimensions. The total energy and momentum of electrons are conserved and we show that for a…

超导电性 · 物理学 2020-06-18 Klaus M. Frahm , Dima L. Shepelyansky

The properties of large bipolarons in two and three dimensions are investigated by averaging over the relative wavefunction of the two electrons and using the Lee-Low-Pines-Huybrechts variational method. We obtain the ground-state (GS) and…

强关联电子 · 物理学 2007-05-23 Y. H. Ruan , Q. H. Chen , M. Bonitz

We study possible quantum states of two correlated electrons in a two-dimensional crystal and find a metastable energy band of the electron pair between the two lowest single-electron bands. These metastable states result from the interplay…

强关联电子 · 物理学 2014-11-10 G. -Q. Hai , L. K. Castelano

We show that in anharmonic one-dimensional crystal lattices pairing of electrons or holes in a localized bisolectron state is possible due to coupling between the charges and the lattice deformation that can overcompensate the Coulomb…

强关联电子 · 物理学 2012-03-02 L. Brizhik , A. P. Chetverikov , W. Ebeling , G. Röpke , M. G. Velarde