Spectral properties of the {ital t}-{ital J} model in the presence of hole-phonon interaction

Journal Article · Fri Nov 01 04:00:00 EST 1996 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.54.13167· OSTI ID:389332

Kyung, B ^[1]; Mukhin, S I ^[2]; Kostur, V N ^[3]; Ferrell, R A ^[1]

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1. Department of Physics, Center for Superconductivity Research, University of Maryland, College Park, Maryland 20742-4111 (United States)
2. Moscow Institute of Steel and Alloys, Theoretical Physics Department, Leninskii pr. 4, 117936 Moscow B-49 (Russia)
3. Department of Physics, SUNY at Stony Brook, Stony Brook, New York 11794-3800 (United States)

We examine the effects of electron-phonon interaction on the dynamics of the charge carriers doped in two-dimensional (2D) Heisenberg antiferromagnet. The {ital t}-{ital J} model Hamiltonian with a Fr{umlt o}hlich term which couples the holes to a dispersionless (optical) phonon mode is considered for low doping concentration. The evolution of the spectral density function, the density of states, and the momentum distribution function of the holes with an increase of the hole-phonon coupling constant {ital g} is studied numerically. As the coupling to a phonon mode increases the quasiparticle spectral weight decreases and a {open_quote}{open_quote}phonon satellite{close_quote}{close_quote} feature close to the quasiparticle peak becomes more pronounced. Furthermore, strong electron-phonon coupling smears the multimagnon resonances ({open_quote}{open_quote}string states{close_quote}{close_quote}) in the incoherent part of the spectral function. The jump in the momentum distribution function at the Fermi surface is reduced without changing the hole pocket volume, thereby providing a numerical verification of Luttinger theorem for this strongly interacting system. The vertex corrections due to electron-phonon interaction are negligible in spite of the fact that the ratio of the phonon frequency to the effective bandwidth is not small. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 389332
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 18 Vol. 54; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANTIFERROMAGNETISM
BCS THEORY
ELECTRIC CONDUCTIVITY
ELECTRON-PHONON COUPLING
ELECTRONIC STRUCTURE
ENERGY GAP
ENERGY-LEVEL DENSITY
FROEHLICH INTERACTIONS
HIGH-TC SUPERCONDUCTORS
HOLES
IMPURITIES
MATHEMATICAL MODELS
ORDER PARAMETERS
QUASI PARTICLES
SPECTRAL FUNCTIONS
SUPERCONDUCTIVITY
TRANSITION TEMPERATURE
TWO-DIMENSIONAL SYSTEMS