Holstein polaron

Journal Article · Thu Jul 01 04:00:00 EDT 1999 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.60.1633· OSTI ID:351901

Bonca, J ^[1]; Trugman, S A ^[2]; Batistic, I ^[3]

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1. FMF, University of Ljubljana and J. Stefan Institute, 1000 (Slovenia)
2. Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
3. Institute of Physics of the University, HR-1000, Zagreb (Croatia)

We describe a variational method to solve the Holstein model for an electron coupled to dynamical, quantum phonons on an infinite lattice. The variational space can be systematically expanded to achieve high accuracy with modest computational resources (12-digit accuracy for the one-dimensional polaron energy at intermediate coupling). We compute ground-state and low-lying excited-state properties of the model at continuous values of the wave vector {ital k} in essentially all parameter regimes. Our results for the polaron energy band, effective mass, and correlation functions compare favorably with those of other numerical techniques, including the density-matrix renormalization-group technique, the global-local method, and the exact diagonalization technique. We find a phase transition for the first excited state between a bound and unbound system of a polaron and an additional phonon excitation. The phase transition is also treated in strong-coupling perturbation theory. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 351901
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 3 Vol. 60; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DENSITY MATRIX
EFFECTIVE MASS
EXCITED STATES
GROUND STATES
PHASE TRANSFORMATIONS
POLARONS
RENORMALIZATION
VARIATIONAL METHODS