Power laws in a 2-leg ladder of interacting spinless fermions

Abstract

We use the Density-Matrix Renormalization Group to study the single-particle and two-particle correlation functions of spinless fermions in the ground state of a quarter-filled ladder. This ladder consists of two chains having an in-chain extended Coulomb interaction reaching to third neighbor and coupled by inter-chain hopping. Within our short numerical coherence lengths, typically reaching ten to twenty sites, we find a strong renormalization of the interchain hopping and the existence of a dimensional crossover at smaller interactions. We also find power exponents for single-particle hopping and interchain polarization consistent with the single chain. The total charge correlation function has a larger power exponent and shows signs of a crossover from incoherent fermion hopping to coherent particle-hole pair motion between chains. There are no significant excitation energies.

RevTex 4 file, 10 pages, 10 eps figures

References in corpus (2)

• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Deconfinement transition and Luttinger to Fermi Liquid crossover in quasi one-dimensional systems

Cited by in corpus (7)

• New Trends in Density Matrix Renormalization
• Universal scaling behavior of non-equilibrium phase transitions
• Renormalization group method for weakly-coupled quantum chains: application to the spin one-half Heisenberg model
• Fermi surface renormalization and confinement in two coupled metallic chains
• Sliding Luttinger liquid with alternating interwire couplings
• A two-step density-matrix renormalization-group study of coupled Luttinger liquids
• Electronic phases of low-dimensional conductors