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Title: Properties of lightly doped {ital t}-{ital J} two-leg ladders

Abstract

We have numerically investigated the doped {ital t}-{ital J} ladder using exact diagonalization. We have studied both the limit of strong interchain coupling and isotropic coupling. The ladder scales to the Luther-Emery liquid regime in the strong interchain coupling limit. In this strong coupling limit there is a simple picture of the excitation spectrum that can be continued to explain the behavior at isotropic coupling. At {ital J}=0 we have indications of a ferromagnetic ground state. At a large {ital J}/{ital t} the ladder is phase separated into holes and a Heisenberg ladder. At intermediate coupling the ground state shows hole pairing with a modified {ital d}-wave symmetry. The excitation spectrum separates into a limited number of quasiparticles which carry charge +{parallel}{ital e}{parallel} and spin 1/2 and a triplet magnon mode. At half filling the former vanish but the latter evolves continuously into the magnon band of the spin liquid. At low doping the quasiparticles form a dilute Fermi gas with a strong attraction but simultaneously the Fermi wave vector, as would be measured in photoemission, is large. The dynamical structure factors are calculated and are found to be very similar to calculations on two-dimensional clusters. {copyright} {ital 1996 Themore » American Physical Society.}« less

Authors:
 [1];  [2];  [3]
  1. Interdisziplinaeres Projektzentrum fuer Supercomputing, Eidgenoessische Technische Hochschule, CH-8092 Zuerich, Switzerl
  2. Interdisziplinaeres Projektzentrum fuer Supercomputing, Eidgenoessische Technische Hochschule, CH-8092 Zuerich (Switzerland)
  3. Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich (Switzerland)
Publication Date:
OSTI Identifier:
434491
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 53; Journal Issue: 1; Other Information: PBD: Jan 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; CRYSTAL MODELS; COLLECTIVE EXCITATIONS; HIGH-TC SUPERCONDUCTORS; FERROMAGNETISM; NUMERICAL SOLUTION; PHASE STUDIES; QUASI PARTICLES

Citation Formats

Troyer, M, and Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Tsunetsugu, H, Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305, and Rice, T M. Properties of lightly doped {ital t}-{ital J} two-leg ladders. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.53.251.
Troyer, M, and Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Tsunetsugu, H, Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305, & Rice, T M. Properties of lightly doped {ital t}-{ital J} two-leg ladders. United States. https://doi.org/10.1103/PhysRevB.53.251
Troyer, M, and Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Tsunetsugu, H, Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich, Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305, and Rice, T M. Mon . "Properties of lightly doped {ital t}-{ital J} two-leg ladders". United States. https://doi.org/10.1103/PhysRevB.53.251.
@article{osti_434491,
title = {Properties of lightly doped {ital t}-{ital J} two-leg ladders},
author = {Troyer, M and and Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich and Tsunetsugu, H and Theoretische Physik, Eidgenoessische Technische Hochschule, CH-8093 Zuerich and Institute of Applied Physics, University of Tsukuba, Tsukuba, Ibaraki 305 and Rice, T M},
abstractNote = {We have numerically investigated the doped {ital t}-{ital J} ladder using exact diagonalization. We have studied both the limit of strong interchain coupling and isotropic coupling. The ladder scales to the Luther-Emery liquid regime in the strong interchain coupling limit. In this strong coupling limit there is a simple picture of the excitation spectrum that can be continued to explain the behavior at isotropic coupling. At {ital J}=0 we have indications of a ferromagnetic ground state. At a large {ital J}/{ital t} the ladder is phase separated into holes and a Heisenberg ladder. At intermediate coupling the ground state shows hole pairing with a modified {ital d}-wave symmetry. The excitation spectrum separates into a limited number of quasiparticles which carry charge +{parallel}{ital e}{parallel} and spin 1/2 and a triplet magnon mode. At half filling the former vanish but the latter evolves continuously into the magnon band of the spin liquid. At low doping the quasiparticles form a dilute Fermi gas with a strong attraction but simultaneously the Fermi wave vector, as would be measured in photoemission, is large. The dynamical structure factors are calculated and are found to be very similar to calculations on two-dimensional clusters. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.53.251},
url = {https://www.osti.gov/biblio/434491}, journal = {Physical Review, B: Condensed Matter},
number = 1,
volume = 53,
place = {United States},
year = {1996},
month = {1}
}