2003/03/19 by Keigo Hijii, Shaojin Qin, K. Nomura +1 · 1 citation
Mathematics · Physics and Astronomy · #Critical point (mathematics) #Density matrix renormalization group #Geometry #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Universality (dynamical systems) #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.68.134403
published as Physical Review B. 68, 134403 (2003) · Submitted to Phys. Rev. B, (REVTeX4)
arxiv created 2003/03/19 · openalex publication_date 2003/10/03 · arxiv updated 2009/11/30 · openalex created_date 2018/03/29 · openalex updated_date 2026/08/05
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.