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

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

2001-12-05

arxiv.org/abs/cond-mat/0112071v1

Physics

Condensed Matter

Strongly Correlated Electrons

RevTex 4 file, 10 pages, 10 eps figures

Scientific paper

10.1103/PhysRevB.66.045101

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.

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