The anharmonic electron-phonon problem

Abstract

The anharmonic electron-phonon problem is solved in the infinite-dimensional limit using quantum Monte Carlo simulation. Charge-density-wave order is seen to remain at half filling even though the anharmonicity removes the particle-hole symmetry (and hence the nesting instability) of the model. Superconductivity is strongly favored away from half filling (relative to the charge-density-wave order) but the anharmonicity does not enhance transition temperatures over the maximal values found in the harmonic limit.

5 pages typeset in ReVTeX. Four encapsulated postscript files included

References in corpus (3)

• Competition between electron-phonon attraction and weak Coulomb repulsion
• The ground state of a general electron-phonon Hamiltonian is a spin singlet
• Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model

Cited by in corpus (22)

• Many-Body Approximation Scheme Beyond GW
• BCS theory of driven superconductivity
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• Effect of Rattling Phonons on Sommerfeld Constant
• Euclidean Gibbs states of interacting quantum anharmonic oscillators
• Anharmonic theory of superconductivity in the high-pressure materials
• Approximate scaling relation for the anharmonic electron-phonon problem
• The two-dimensional $t$-$t^{\prime }$ Holstein model
• Quantum Monte Carlo study of an anharmonic Holstein model
• Constraints on the total coupling strength to bosons in iron based superconductors
• Fourier transformation and response functions
• Heavy-Electron Formation and Bipolaronic Transition in the Anharmonic Holstein Model
• Electron-phonon interaction for adiabatic anharmonic phonons
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
• Phase transitions and quantum effects in anharmonic crystals
• Anharmonicity in one-dimensional electron-phonon system
• Euclidean Gibbs Measures of Quantum Anharmonic Crystals
• Quantum manipulation and simulation using Josephson junction arrays
• A hierarchical model of quantum anharmonic oscillators: critical point convergence
• Charge-density-wave instability in the Holstein model with quartic anharmonic phonons
• Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields