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The ground state of the two-leg Hubbard ladder a density-matrix renormalization group study |
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| Authors: | R. M. Noack S. R. White D. J. Scalapino |
| Affiliation: | a Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074, Würzburg, Germany b Department of Physics and Astronomy, University of California, Irvine, CA 92717, USA c Department of Physics, University of California, Santa Barbara, CA 93106, USA |
| Abstract: | We present density-matrix renormalization group results for the ground state properties of two-leg Hubbard ladders. The half-filled Hubbard ladder is an insulating spin-gapped system, exhibiting a crossover from a spin liquid to a band insulator as a function of the interchain hopping matrix element. When the system is doped, there is a parameter range in which the spin gap remains. In this phase, the doped holes from singlet pairs and the pair field and the “4kF” density correlations associated with pair-density fluctuations decay as power laws, while the “2kF” charge density wave correlations decay exponentially. We discuss the behavior of the exponents of the pairing and density correlations within this spin-gapped phase. Additional one-band Luttinger liquid phases which occur in the large interband hopping regime are also discussed. |
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