Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics C Solid State Physics

The large polaron first-order phase transition

R. Mańka, Maciej Suffczynski

Published Dec 10, 1980• 23 citations
Publisher

Abstract

The large polaron first-order phase transition from the mobile to the self-trapped phase is determined from a variational principal. The transition is a spontaneous transition to a coherent state breaking the translational invariance of the polaron Hamiltonian.
DOI
10.1088/0022-3719/13/34/007

Related papers

The first-order phase transition in the large polaron ground state

R. Mańka

Physics Letters A•Aug 1, 1978•29 citations

Large-radius Holstein polaron and the problem of spontaneous symmetry breaking

V. D. Lakhno

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 is made about the absence of a spontaneous symmetry breaking in the quantum system discussed.

arXiv:1403.2920•Progress of Theoretical and Experimental Physics•Jul 1, 2014•7 citations

Proof of the nonexistence of (formal) phase transitions in polaron systems. I

B. Gerlach, Hartmut Löwen

In recent literature it was frequently claimed that free polarons should undergo a (formal) phase transition from a mobile to a localized state, if the electron-phonon coupling constant \ensuremath{\alpha} exceeds some critical value ${\ensuremath{\alpha}}_{c}$. For \ensuremath{\alpha}=${\ensuremath{\alpha}}_{c}$, the formal free energy should be nonanalytic in \ensuremath{\alpha}. In this paper we prove that for optical polarons no such transition exists for finite temperatures. To do so, we use functional-integration techniques and discuss perturbation theory in \ensuremath{\alpha} to infinite order.

Physical review. B, Condensed matter•Mar 15, 1987•63 citations

Large-radius Holstein polaron and the problem of spontaneous symmetry breaking

Victor Dmitrievich Lakhno

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 [T. Holstein, Annals Phys., 8, 325 (1959)]. The wave function corresponding to this solution is delocalized. A conclusion is drawn about the absence of spontaneous symmetry breaking in the quantum system discussed. Subject Index I44

•Sep 22, 2016•7 citations

3 Large-radius Holstein polaron and the problem of spontaneous symmetry breaking

Victor Dmitrievich Lakhno

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 is made about the absence of a spontaneous symmetry breaking in the quantum system discussed.

De Gruyter eBooks•Jul 18, 2022•0 citations

Holstein light quantum polarons

O. S. Barišić

The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are compared with the nonadiabatic weak- and strong-coupling perturbation theories, as well as with the harmonic adiabatic approximation. A qualitative explanation of the crossover regime between the self-trapped and free-particle-like behaviors, not well-understood previously, is proposed. It is shown that a fine balance of nonadiabatic and adiabatic contributions determines the motion of small polarons, making them light. A comprehensive analysis of spatially and temporally resolved low-frequency lattice correlations that characterize the translationally invariant polaron states is derived. Various behaviors of the polaronic deformation field, ranging from classical adiabatic for strong couplings to quantum nonadiabatic for weak couplings, are discussed.

arXiv:cond-mat/0602260•Feb 10, 2006•0 citations
In recent literature it was frequently claimed that free polarons should undergo a (formal) phase transition from a mobile to a localized state, if the electron-phonon coupling constant \ensuremath{\alpha} exceeds some critical value ${\ensuremath{\alpha}}_{c}$. For \ensuremath{\alpha}=${\ensuremath{\alpha}}_{c}$, the formal free energy should be nonanalytic in \ensuremath{\alpha}. In this paper we prove that for optical polarons no such transition exists for finite temperatures. To do so, we use functional-integration techniques and discuss perturbation theory in \ensuremath{\alpha} to infinite order.
The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are compared with the nonadiabatic weak- and strong-coupling perturbation theories, as well as with the harmonic adiabatic approximation. A qualitative explanation of the crossover regime between the self-trapped and free-particle-like behaviors, not well-understood previously, is proposed. It is shown that a fine balance of nonadiabatic and adiabatic contributions determines the motion of small polarons, making them light. A comprehensive analysis of spatially and temporally resolved low-frequency lattice correlations that characterize the translationally invariant polaron states is derived. Various behaviors of the polaronic deformation field, ranging from classical adiabatic for strong couplings to quantum nonadiabatic for weak couplings, are discussed.