Staggered dimer order and criticality in an S=1/2 quantum spin ladder system with four-spin exchange

Keigo Hijii, Shaojin Qin, Kiyohide Nomura

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22 Citations (Scopus)

Abstract

We study an S=1/2 quantum-spin ladder system with four-spin cyclic exchange, using the density matrix renormalization group (DMRG) and exact diagonalization methods. Recently, the phase transition and its universality class in this system have been studied. However, controversies remain on whether the phase transition is second-order type or another type and on the nature of critical phenomena. In addition, there are several arguments concerning where the transition point is. Analyzing DMRG data, we use an approach to determine the ordered phase which appears after the phase transition. We find that the edge state appears under the open boundary condition by investigating excitation energies of states with higher magnetizations. We also estimate the correlation length and discuss the critical behavior.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume68
Issue number13
DOIs
Publication statusPublished - Jan 1 2003

Fingerprint

spin exchange
Ladders
ladders
Dimers
Phase transitions
dimers
Excitation energy
transition points
Magnetization
Boundary conditions
boundary conditions
magnetization
estimates
excitation
energy

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "We study an S=1/2 quantum-spin ladder system with four-spin cyclic exchange, using the density matrix renormalization group (DMRG) and exact diagonalization methods. Recently, the phase transition and its universality class in this system have been studied. However, controversies remain on whether the phase transition is second-order type or another type and on the nature of critical phenomena. In addition, there are several arguments concerning where the transition point is. Analyzing DMRG data, we use an approach to determine the ordered phase which appears after the phase transition. We find that the edge state appears under the open boundary condition by investigating excitation energies of states with higher magnetizations. We also estimate the correlation length and discuss the critical behavior.",
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