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A translation-invariant solution is found for a large-radius Holstein polaron whose energy in the strong coupling limit is lower than that obtained by Holstein. The wave function corresponding to this solution is delocalized. A conclusion…

其他凝聚态物理 · 物理学 2014-08-05 V. D. Lakhno

We use the diagram technique for spin operators to calculate Green's functions and observables of the spin-1/2 quantum Heisenberg antiferromagnet on a square lattice. The first corrections to the self-energy and interaction are taken into…

强关联电子 · 物理学 2009-10-31 A. Sherman , M. Schreiber

We examine the superconducting solution in the Holstein model, where the conduction electrons couple to the dispersionless Boson fields, using the Migdal-Eliashberg theory and Dynamical Mean Field Theory. Although different in numerical…

强关联电子 · 物理学 2016-06-17 Chungwei Lin , Bingnan Wang , Koon Hoo Teo

A dynamical mean-field theory of the small polaron problem is presented, which becomes exact in the limit of infinite dimensions. The ground state properties and the one-electron spectral function are obtained for a single electron…

凝聚态物理 · 物理学 2009-10-30 S. Ciuchi , F. de Pasquale , S. Fratini , D. Feinberg

We describe an approach for calculations of phonon contributions to the electron spectral function, including both quasiparticle properties and satellites. The method is based on a cumulant expansion for the retarded one-electron Green's…

材料科学 · 物理学 2015-06-22 S. M. Story , J. J. Kas , F. D. Vila , M. J. Verstraete , J. J. Rehr

We present a novel Path Integral Monte Carlo scheme to solve the Fr\"ohlich polaron model. At intermediate and strong electron-phonon coupling, the polaron self-trapping is properly taken into account at the level of an effective action…

强关联电子 · 物理学 2013-05-29 J. T. Titantah , C. Pierleoni , S. Ciuchi

We derive sum rules for the phonon self-energy and the electron-phonon contribution to the electron self-energy of the Holstein-Hubbard model in the limit of large Coulomb interaction U. Their relevance for finite U is investigated using…

强关联电子 · 物理学 2007-05-23 O. Rösch , G. Sangiovanni , O. Gunnarsson

For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We…

量子物理 · 物理学 2009-10-28 H. Kleinert

At large momentum transfer, it becomes increasingly difficult to access the form factor of the pion $F_\pi(Q^2)$ using lattice QCD simulations. Two of the limiting factors include the increased computational cost of adding more statistics…

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

强关联电子 · 物理学 2009-11-10 Jan Brinckmann , Peter Woelfle

We obtain analytical expressions for the large- and small-radius polarons on the one-dimensional lattice in the TBA approximation. The equations of motion for this model are treated classically for the oscillator subsystem, while a quantum…

介观与纳米尺度物理 · 物理学 2012-04-12 V. N. Likhachev , T. Yu. Astakhova , G. A. Vinoghradov

In a previous work (N. H. Tong, Phys. Rev. B 92, 165126 (2015)), an equation-of-motion based series expansion formalism was used to do the second-order strong-coupling expansion for the single-particle Green function of the Anderson…

强关联电子 · 物理学 2022-02-09 Kou-Han Ma , Ning-Hua Tong

Many-body functionals of the Green's function can provide fundamental advances in electronic-structure calculations, due to their ability to accurately predict both spectral and thermodynamic properties, such as angle-resolved photoemission…

强关联电子 · 物理学 2025-08-26 Tommaso Chiarotti , Matteo Quinzi , Andrea Pintus , Mario Caserta , Andrea Ferretti , Nicola Marzari

The concentration inequality approach for normal approximation by Stein's method is generalized to the multivariate setting. We use this approach to prove a non-smooth function distance for multivariate normal approximation for standardized…

概率论 · 数学 2015-05-19 Louis H. Y. Chen , Xiao Fang

Numerical modeling is used to investigate the dynamics of a polaron in a chain with small random Langevin-like perturbations which imitate the environmental temperature $T$ and under the influence of a constant electric field. In the…

统计力学 · 物理学 2020-07-07 Nadezhda S. Fialko , Victor D. Lakhno

The aim of this article is to investigate the well-posedness, stability and convergence of solutions to the time-dependent Maxwell's equations for electric field in conductive media in continuous and discrete settings. The situation we…

数值分析 · 数学 2023-12-21 Eric Lindström , Larisa Beilina

We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of the polaron lattice distortion in one, two, and three…

强关联电子 · 物理学 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

The paper reports a technique of evaluation of Feynman diagrams in the mixed coordinate-momentum representation. The technique is employed for a recalculation of the two-loop self-energy correction for the ground state of hydrogen-like ions…

原子物理 · 物理学 2010-05-19 Vladimir A. Yerokhin

A more reasonable trial ground state wave function is constructed for the relative motion of an interacting two-fermion system in a 1D harmonic potential. At the boundaries both the wave function and its first derivative are continuous and…

量子气体 · 物理学 2017-04-06 Yanxia Liu , Jun Ye , Yuanyuan Li , Yunbo Zhang

Within a phonon-assisted resonance level model we develop a self-consistent procedure for calculating electron transport currents in molecular junctions with intermediate to strong electron-phonon interaction. The scheme takes into account…

介观与纳米尺度物理 · 物理学 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner