One-dimensional behavior and sliding Luttinger liquid phase in a frustrated spin-12crossed chain model: Contribution of exact diagonalizations

2002/04/15 by P. Sindzingre, Philippe Sindzingre, J.-B. Fouet +2 · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.66.174424

7 pages, 12 .ps figures, submitted to Phys. Rev. B

arxiv created 2002/04/15 · openalex publication_date 2002/11/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Exact diagonalizations indicate that the effective one-dimensional behavior (sliding Luttinger liquid phase) of the frustrated spin-1/2 crossed chain model, predicted by Starykh, Singh, and Levine [Phys. Rev. Lett. 88, 167203 (2002)], persists for a wide range of interchain couplings. The extension of the other phases (plaquette valence bond crystal and N'eel long-range order) is made precise. The coexistence region of these two phases, proposed by Sachdev and Park [Ann. Phys. (N.Y.) 298, 58 (2002)], has at most a very narrow width.

Citations

• Quantum phase transitions in the two-dimensionalJ1−J2model
• Incommensurate Spin Correlations in Spin-1/2Frustrated Two-Leg Heisenberg Ladders
• Experimental Realization of a 2D Fractional Quantum Spin Liquid
• Ground States of Quantum Antiferromagnets in Two Dimensions

Cited by

• Tensor Product State Formulation for the Spin 1/2 Antiferromagnetic XXZ Model on the Checkerboard Lattice
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Valence-bond crystal phase of the crossed-chain quantum spin model