Dimer-hole-RVB state of the two-leg <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>t</mi><mo>−</mo><mi>J</mi></math></span> ladder: A recurrent variational ansatz

Germán Sierra; Miguel Angel Martín-Delgado; Jorge Dukelsky; Steven R. White; D. J. Scalapino

doi:10.1103/PhysRevB.57.11666

Dimer-hole-RVB state of the two-leg $t - J$ ladder: A recurrent variational ansatz

Germán Sierra, Miguel Angel Martín-Delgado, Jorge Dukelsky, Steven R. White, and D. J. Scalapino

Phys. Rev. B 57, 11666 – Published 1 May 1998

Abstract

We present a variational treatment of the ground state of the two-leg $t - J$ ladder, which combines the dimer and the hard-core boson models into one effective model. This model allows us to study the local structure of the hole pairs as a function of doping. A second-order recursion relation is used to generate the variational wave function, which substantially simplifies the computations. We obtain good agreement with numerical density matrix renormalization group results for the ground state energy in the strong-coupling regime. We find that the local structure of the pairs depends upon whether the ladder is slightly or strongly dopped.

Received 31 July 1997

DOI:https://doi.org/10.1103/PhysRevB.57.11666

Authors & Affiliations

Germán Sierra^*

Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Miguel Angel Martín-Delgado^†

Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain

Jorge Dukelsky^‡

Instituto de Estructura de la Materia, C.S.I.C., 28006 Madrid, Spain

Steven R. White^§

Department of Physics and Astronomy, University of California, Irvine, California 92697

D. J. Scalapino^∥

Department of Physics, University of California, Santa Barbara, California 93106

^*On leave from Instituto de Matemáticas y Física Fundamental, C.S.I.C., 28006 Madrid, Spain. Electronic address: sierra@sisifo.imaff.csic.es
^†Electronic address: mardel@eucmax.sim.ucm.es
^‡Electronic address: emduke@iem.csic.es
^§Electronic address: srwhite@uci.edu
^∥Electronic address: djs@spock.physics.ucsb.edu

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Vol. 57, Iss. 18 — 1 May 1998

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