Journal ArticleDOI
Single-particle spectral function of the Holstein-Hubbard bipolaron
TLDR
In this article, the one-dimensional spectral function of the Holstein-Hubbard bipolaron in one dimension was studied using cluster perturbation theory together with the Lanczos method, which allows one to calculate the spectrum at continuous wave vectors and thereby to investigate the dispersion and the spectral weight of quasiparticle features.Abstract:
The one-electron spectral function of the Holstein-Hubbard bipolaron in one dimension is studied using cluster perturbation theory together with the Lanczos method. In contrast to other approaches, this allows one to calculate the spectrum at continuous wave vectors and thereby to investigate the dispersion and the spectral weight of quasiparticle features. The formation of polarons and bipolarons, and their manifestation in the spectral properties of the system, is studied for the cases of intermediate and large phonon frequencies, with and without Coulomb repulsion. A good agreement is found with the most accurate calculations of the bipolaron band dispersion available. Pronounced deviations of the bipolaron band structure from a simple tight-binding band are observed, which can be attributed to next-nearest-neighbor hopping processes.read more
Citations
More filters
Journal ArticleDOI
Fröhlich polaron and bipolaron: recent developments
J. T. Devreese,A. S. Alexandrov +1 more
TL;DR: The field of continuum and discrete Frohlich polaron (bi) polarons has been studied extensively in the literature starting with the basics and covering a number of active directions of research as mentioned in this paper.
Journal ArticleDOI
Froehlich Polaron and Bipolaron: Recent Developments
Jozef Devreese,Sasha Alexandrov +1 more
TL;DR: The field of continuum and discrete Froehlich polaron (bi)polarons has been a testing ground for analytical, semi-analytical, and numerical techniques, such as path integrals, strong-coupling perturbation expansion, advanced variational, exact diagonalisation (ED), and quantum Monte Carlo (QMC) techniques as mentioned in this paper.
Journal ArticleDOI
Tailoring the nature and strength of electron-phonon interactions in the SrTiO3(001) 2D electron liquid.
Zhiming Wang,Zhiming Wang,S. McKeown Walker,Anna Tamai,Yao Wang,Yao Wang,Zoran Ristić,Flavio Y. Bruno,A. de la Torre,S. Riccò,Nicholas C. Plumb,Ming Shi,P. Hlawenka,Jaime Sánchez-Barriga,Andrei Varykhalov,Timur K. Kim,Moritz Hoesch,Phil D. C. King,Worawat Meevasana,Ulrike Diebold,Joël Mesot,Joël Mesot,Joël Mesot,Brian Moritz,Thomas P. Devereaux,Thomas P. Devereaux,Milan Radovic,Felix Baumberger,Felix Baumberger,Felix Baumberger +29 more
TL;DR: The prototypical two-dimensional electron liquid at the SrTiO3(001) surface is used to reveal a remarkably complex evolution of electron-phonon coupling with the tunable carrier density of this system, and constraints on the theoretical description of superconductivity are placed.
Journal ArticleDOI
Tailoring the nature and strength of electron-phonon interactions in the SrTiO$_3$(001) two-dimensional electron liquid
Zhuozhi Wang,S. McKeown Walker,Anna Tamai,Yung Jui Wang,Zoran Ristić,Flavio Y. Bruno,A. de la Torre,S. Riccò,Nicholas C. Plumb,Ming Shi,Peter Hlawenka,Jaime Sánchez-Barriga,Andrei Varykhalov,Timur K. Kim,Moritz Hoesch,Phil D. C. King,Worawat Meevasana,Ulrike Diebold,Joël Mesot,Brian Moritz,T. P. Devereaux,Milan Radovic,Felix Baumberger +22 more
TL;DR: In this paper, the authors used the prototypical two-dimensional electron liquid (2DEL) at the SrTiO$_3$(001) surface to reveal a remarkably complex evolution of electronphonon coupling with the tunable carrier density of this system.
Journal ArticleDOI
Krylov-space approach to the equilibrium and the nonequilibrium single-particle Green's function
TL;DR: The proposed method will be important as an exact-diagonalization solver in the context of self-consistent or variational cluster-embedding schemes and for the recently developed nonequilibrium cluster-perturbation theory.
References
More filters
Book
Many-Particle Physics
TL;DR: In this article, the authors present a model for the second quantization of a particle and show that it can be used to construct a pair distribution function with respect to a pair of spinless fermions.
Book
Lanczos algorithms for large symmetric eigenvalue computations
Jane Cullum,Ralph A. Willoughby +1 more
TL;DR: This chapter discusses Lanczos Procedures with no Reorthogonalization for Real Symmetric Problems, and an Identification Test, 'Good' versus' spurious' Eigenvalues.
Journal ArticleDOI
Spectral weight of the hubbard model through cluster perturbation theory
TL;DR: The spectral weight of the one- and two-dimensional Hubbard models is calculated by performing exact diagonalizations of finite clusters and treating intercluster hopping with perturbation theory.
Journal ArticleDOI
Dynamic scaling of the submonolayer island size distribution during self-assembled monolayer growth
Ivo Doudevski,Daniel K. Schwartz +1 more
TL;DR: In this article, the authors show that the island size distribution in the aggregation regime is predicted to show dynamic scaling behavior, indicating that at a given time, only one length scale is present.
Journal ArticleDOI
Cluster perturbation theory for Hubbard models
TL;DR: Cluster perturbation theory is a technique for calculating the spectral weight of strongly correlated electrons, which combines exact diagonalizations on small clusters with strong-coupling perturbations at leading order.