Structure of a strongly coupled large polaron

V.D. Lakhno^a, G.N. Chuev^b
^aInstitute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Prof. Vitkevich str. 1, Pushchino, Moscow Region, 142290, Russian Federation
^bDepartment of Quantum-Chemical Systems, Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Pushchino, Moscow Region, Russian Federation

We use the translationally invariant Bogolyubov-Tyablikov method to propose a polaron theory. We present calculations of autolocalised electron states for different types of interaction. The structure of these states is shown to be strongly related to the structure and details of the local phonon spectrum. We calculate this spectrum in the strong-coupling limit. Applications of the large polaron model and possibilities of experimental tests are considered for the strong coupling. We generalise the Bogolyubov-Tyablikov treatment to the strongly coupled bipolaron and give criteria of the stability and formation of the bipolaron states.

PACS: 71.38.+i, 71.50.+t
DOI: 10.1070/PU1995v038n03ABEH000075
URL: https://ufn.ru/en/articles/1995/3/c/
Web of Science

A1995QU24300003
Citation: Lakhno V D, Chuev G N "Structure of a strongly coupled large polaron" Phys. Usp. 38 273–285 (1995)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Лахно В Д, Чуев Г Н «Структура полярона большого радиуса в пределе сильной связи» УФН 165 285–298 (1995); DOI: 10.3367/UFNr.0165.199503c.0285

References (128) Cited by (19) Similar articles (20) ↓

A.S. Alexandrov, A.B. Krebs “Polarons in high-temperature superconductors” Sov. Phys. Usp. 35 (5) 345–383 (1992)
N.I. Kashirina, V.D. Lakhno “Large-radius bipolaron and the polaron-polaron interaction” Phys. Usp. 53 431–453 (2010)
V.D. Lakhno “Pekar's ansatz and the strong coupling problem in polaron theory” Phys. Usp. 58 295–308 (2015)
I.B. Levinson, Rashba É I “Threshold phenomena and bound states in the polaron problem” Sov. Phys. Usp. 16 892–912 (1974)
G.N. Chuev “Statistical physics of the solvated electron” Phys. Usp. 42 149 (1999)
V.V. Egorov, M.V. Alfimov “Theory of the J-band: from the Frenkel exciton to charge transfer” Phys. Usp. 50 985–1029 (2007)
A.S. Davydov “Solitons in quasi-one-dimensional molecular structures” Sov. Phys. Usp. 25 898–918 (1982)
Yu.A. Izyumov “Strongly correlated electrons: the t-J model” Phys. Usp. 40 445–476 (1997)
O.V. Misochko “Nonclassical states of lattice excitations: squeezed and entangled phonons” Phys. Usp. 56 868–882 (2013)
V.L. Bonch-Bruevich “Problems of the electron theory of disordered semiconductors” Sov. Phys. Usp. 26 664–695 (1983)
O.V. Misochko “Electronic Raman scattering in high-temperature superconductors” Phys. Usp. 46 373–392 (2003)
V.L. Ginzburg “Superconductivity: the day before yesterday — yesterday — today — tomorrow” Phys. Usp. 43 573–583 (2000)
L.I. Krishtalik “Proteins as specific polar media for charge transfer processes” Phys. Usp. 55 1192–1213 (2012)
E.G. Maksimov, D.Yu. Savrasov, S.Yu. Savrasov “The electron-phonon interaction and the physical properties of metals” Phys. Usp. 40 337–358 (1997)
A.G. Khrapak, I.T. Yakubov “Electrons and positrons in dense gases” Sov. Phys. Usp. 22 703–726 (1979)
M.A. Krivoglaz “Fluctuon states of electrons” Sov. Phys. Usp. 16 856–877 (1974)
I.M. Lifshitz “Energy spectrum structure and quantum states of disordered condensed systems” Sov. Phys. Usp. 7 549–573 (1965)
I.S. Osad’ko “Determination of electron-phonon coupling from structured optical spectra of impurity centers” Sov. Phys. Usp. 22 311–329 (1979)
E.Z. Kuchinskii, I.A. Nekrasov, M.V. Sadovskii “Generalized dynamical mean-field theory in the physics of strongly correlated systems” Phys. Usp. 55 325–355 (2012)
V.I. Kaidanov, Yu.I. Ravich “Deep and resonance states in A^IV B^VI semiconductors” Sov. Phys. Usp. 28 31–53 (1985)

The list is formed automatically.