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Twisted-order parameter applied to dimerized ladders

2008/02/05 by J. Almeida, J. O. de Almeida, M. A. Martín-Delgado +3 · 12 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algorithm #Boundary (topology) #Boundary value problem #Computation #Density matrix renormalization group #Mathematical analysis #Mathematics #Monte Carlo method #Order (exchange) #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Statistical physics #cond-mat.str-el

paper · pdf · doi:10.1088/1751-8113/41/48/485301

published in Journal of Physics A Mathematical and Theoretical 41(48), 485301 (Institute of Physics) · Revtex4 file, color figures

arxiv created 2008/02/05 · openalex publication_date 2008/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We apply the twisted order parameter (TOP) for dimerized quantum spin ladders to locate the critical phases that separate gapped phases representing quantum spin liquids of various types. Using the DMRG, method we find that the TOP is a good order parameter for these systems regardless the number of legs. As a check, we reproduce with DMRG and periodic boundary conditions the computations previously done with Quantum Montecarlo for one-dimensional S=1/2, S=1, S=3/2 and S=2 Heisenberg chains with alternating bonds.

Citations