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Title: t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram

Abstract

The phase diagram of the two-leg t-J{sub z} ladder is explored, using the density-matrix renormalization group method. Results are obtained for energy gaps, electron density profiles, and correlation functions for the half filled and quarter filled cases. The effective Lagrangian velocity parameter v{sub {rho}} is shown to vanish at half filling. The behavior of the one-hole gap in the Nagaoka limit is investigated, and found to disagree with theoretical predictions. A tentative phase diagram is presented, which is quite similar to the full t-J ladder, but scaled up by a factor of about 2 in coupling. Near half filling a Luther-Emery phase is found, which may be expected to show superconducting correlations, while near quarter filling the system appears to be in a Tomonaga-Luttinger phase.

Authors:
; ; ;  [1]
  1. School of Physics, University of New South Wales, Sydney, NSW 2052 (Australia)
Publication Date:
OSTI Identifier:
20788061
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 14; Other Information: DOI: 10.1103/PhysRevB.73.144508; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CORRELATION FUNCTIONS; CORRELATIONS; COUPLING; DENSITY MATRIX; ELECTRON DENSITY; ENERGY GAP; HOLES; LAGRANGIAN FUNCTION; MATHEMATICAL MODELS; PHASE DIAGRAMS; RENORMALIZATION; SERIES EXPANSION; VELOCITY

Citation Formats

Weisse, A., Bursill, R. J., Hamer, C. J., and Weihong, Zheng. t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.1.
Weisse, A., Bursill, R. J., Hamer, C. J., & Weihong, Zheng. t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram. United States. doi:10.1103/PHYSREVB.73.1.
Weisse, A., Bursill, R. J., Hamer, C. J., and Weihong, Zheng. Sat . "t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram". United States. doi:10.1103/PHYSREVB.73.1.
@article{osti_20788061,
title = {t-J{sub z} ladder: Density-matrix renormalization group and series expansion calculations of the phase diagram},
author = {Weisse, A. and Bursill, R. J. and Hamer, C. J. and Weihong, Zheng},
abstractNote = {The phase diagram of the two-leg t-J{sub z} ladder is explored, using the density-matrix renormalization group method. Results are obtained for energy gaps, electron density profiles, and correlation functions for the half filled and quarter filled cases. The effective Lagrangian velocity parameter v{sub {rho}} is shown to vanish at half filling. The behavior of the one-hole gap in the Nagaoka limit is investigated, and found to disagree with theoretical predictions. A tentative phase diagram is presented, which is quite similar to the full t-J ladder, but scaled up by a factor of about 2 in coupling. Near half filling a Luther-Emery phase is found, which may be expected to show superconducting correlations, while near quarter filling the system appears to be in a Tomonaga-Luttinger phase.},
doi = {10.1103/PHYSREVB.73.1},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 14,
volume = 73,
place = {United States},
year = {Sat Apr 01 00:00:00 EST 2006},
month = {Sat Apr 01 00:00:00 EST 2006}
}