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Related papers: Comprehensive study of Frohlich polaron

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Partial summing of infinite range of diagrams for the two-phonon mass operator of polaron described by Fr\"{o}hlich Hamiltonian is performed using the Feynman-Pines diagram technique. Renormalized spectral parameters of ground and first…

Mesoscale and Nanoscale Physics · Physics 2015-10-26 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

Ab initio calculations of the phonon-induced band structure renormalization are currently based on the perturbative Allen-Heine theory and its many-body generalizations. These approaches are unsuitable to describe materials where electrons…

We study the qualitative behaviour of the energy-momentum relation of the Fr\"ohlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is…

Mathematical Physics · Physics 2022-07-25 Steffen Polzer

An efficient continuous-time path-integral Quantum Monte Carlo algorithm for the lattice polaron is presented. It is based on Feynman's integration of phonons and subsequent simulation of the resulting single-particle self-interacting…

Strongly Correlated Electrons · Physics 2009-10-31 P E Kornilovitch

The Holstein model often serves as an archetype for electron-phonon interactions and polaron formation in solids. However, precise descriptions of the Holstein polaron are difficult when the phonon frequency is small and the electron-phonon…

Strongly Correlated Electrons · Physics 2026-03-10 Connor M. Walsh , Igor Boettcher , Frank Marsiglio

In a number of physical situations, from polarons to Dirac liquids and to non-Fermi liquids, one encounters the "beyond quasiparticles" regime, in which the inelastic scattering rate exceeds the thermal energy of quasiparticles. Transport…

Strongly Correlated Electrons · Physics 2019-08-15 Andrey S. Mishchenko , Lode Pollet , Nikolay V. Prokof'ev , Abhishek Kumar , Dmitrii L. Maslov , Naoto Nagaosa

The optical absorption of the Fr\"{o}hlich polaron model is obtained by an approximation-free Diagrammatic Monte Carlo method and compared with two new approximate approaches that treat lattice relaxation effects in different ways. We show…

Strongly Correlated Electrons · Physics 2009-11-11 G. De Filippis , V. Cataudella , A. S. Mishchenko , C. A. Perroni , J. T. Devreese

An analytical approach to the one-dimensional spinless Holstein model is proposed, which is valid at finite charge-carrier concentrations. Spectral functions of charge carriers are computed on the basis of self-energy calculations. A…

Strongly Correlated Electrons · Physics 2007-05-23 J. Loos , M. Hohenadler , H. Fehske

The strong coupling treatment of the Fr\"ohlich-type polaronic system, based on a canonical transformation and a standard Landau-Pekar type variational wave function, is applied to the polaronic system consisting of an impurity in a…

Quantum Gases · Physics 2012-10-02 W. Casteels , T. Van Cauteren , J. Tempere , J. T. Devreese

Extending the Froehlich polaron problem to a discrete ionic lattice we study a polaronic state with a small radius of the wave function but a large size of the lattice distortion. We calculate the energy dispersion and the effective mass of…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , P. E. Kornilovitch

We use the approximation-free Bold Diagrammatic Monte Carlo technique to study the effects of a finite dispersion of the optical phonon mode on the properties of the Holstein polaron, especially its effective mass. For weak electron-phonon…

Strongly Correlated Electrons · Physics 2013-09-02 Dominic J. J. Marchand , Mona Berciu

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…

Mathematical Physics · Physics 2017-03-08 Rupert L. Frank , Zhou Gang

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

Path-integral approach to the tight-binding polaron is extended to multiple optical phonon modes of arbitrary dispersion and polarization. The non-linear lattice effects are neglected. Only one electron band is considered. The…

Strongly Correlated Electrons · Physics 2009-11-11 Pavel Kornilovitch

Mobile impurity atoms immersed in Bose-Einstein condensates provide a new platform for exploring Bose polarons. Recent experimental advances in the field of ultracold atoms make it possible to realize such systems with highly tunable…

Quantum Gases · Physics 2017-11-22 Fabian Grusdt , Gregory E. Astrakharchik , Eugene A. Demler

The Frohlich interaction is one of the main electron-phonon intrinsic interactions in polar materials originating from the coupling of one itinerant electron with the macroscopic electric field generated by any longitudinal optical (LO)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Faugeras , G. Martinez , A. Riedel , R. Hey , K-J Friedland , Y. Bychkov

Electron-phonon coupling, diagonal in a real space formulation, leads to polaron paradigm of smoothly varying properties. However, fundamental changes, namely the singular behavior of polarons, occur if non-diagonal pairing is involved into…

Strongly Correlated Electrons · Physics 2020-06-11 E. I. Shneyder , S. V. Nikolaev , M. V. Zotova , R. A. Kaldin , S. G. Ovchinnikov

A formula is derived that relates the ground-state dispersion of a many-body system with the end-to-end distribution of paths with open boundary conditions in imaginary time. The formula does not involve the energy estimator. It allows…

Strongly Correlated Electrons · Physics 2009-10-31 P. E. Kornilovitch

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

Strongly Correlated Electrons · Physics 2007-10-25 Martin Hohenadler , Peter B Littlewood

Koopmans-compliant functionals provide an orbital-density-dependent framework for an accurate evaluation of spectral properties; they are obtained by imposing a generalized piecewise-linearity condition on the total energy of the system…

Materials Science · Physics 2022-07-06 Riccardo De Gennaro , Nicola Colonna , Edward Linscott , Nicola Marzari