Phase Diagram of the Holstein-Hubbard Two-Leg Ladder

Abstract

Using a functional renormalization group method, we obtain the phase diagram of the two-leg ladder system within the Holstein-Hubbard model, which includes both electron-electron and electron-phonon interactions. Our renormalization group technique allows us to analyze the problem for both weak and strong electron-phonon coupling. We show that, in contrast results from conventional weak coupling studies, electron-phonon interactions can dominate electron-electron interactions because of retardation effects.

arXiv comment4 pages

References in corpus (14)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Renormalization Group Approach to Interacting Fermions
• One-Dimensional Fermi liquids
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Renormalization group analysis of the 2D Hubbard model
• Energetics of Domain Walls in the 2D t-J model
• The N-chain Hubbard Model in Weak Coupling
• The Superconducting Instabilities of the non half-filled Hubbard Model in Two Dimensions
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• Role of electron-phonon interaction in the strongly correlated cuprates superconductors
• Renormalization Group Approach to Strong-Coupled Superconductors
• Renormalization-group approach to superconductivity: from weak to strong electron-phonon coupling
• Phonons in Hubbard ladders studied within the framework of the one-loop renormalization group

Cited by in corpus (10)

• Functional renormalization group approach to correlated fermion systems
• Metallicity in the half-filled Holstein-Hubbard model
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• The quantum vs classical aspects of one dimensional electron-phonon systems revisited by the renormalization group method
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• Approximating the frequency dependence of the effective interaction in the functional renormalization group for many-fermion systems
• Response Theory of the Electron-Phonon Coupling
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling