TY - JOUR
T1 - The antiferromagnetic cross-coupled spin ladder
T2 - Quantum fidelity and tensor networks approach
AU - Chen, Xi Hao
AU - Cho, Sam Young
AU - Zhou, Huan Qiang
AU - Batchelor, Murray T.
N1 - Publisher Copyright:
© 2016, The Korean Physical Society.
PY - 2016/5/1
Y1 - 2016/5/1
N2 - We investigate the phase diagram of the cross-coupled Heisenberg spin ladder with antiferromagnetic couplings. For this model, the results for the existence of the columnar dimer phase, which was predicted on the basis of weak coupling field theory renormalization group arguments, have been conflicting. The numerical work on this model has been based on various approaches, including exact diagonalization, series expansions and density-matrix renormalization group calculations. Using the recently-developed tensor network states and groundstate fidelity approach for quantum spin ladders, we find no evidence for the existence of the columnar dimer phase. We also provide an argument based on the symmetry of the Hamiltonian, which suggests that the phase diagram for antiferromagnetic couplings consists of a single line separating the rung-singlet and the Haldane phases.
AB - We investigate the phase diagram of the cross-coupled Heisenberg spin ladder with antiferromagnetic couplings. For this model, the results for the existence of the columnar dimer phase, which was predicted on the basis of weak coupling field theory renormalization group arguments, have been conflicting. The numerical work on this model has been based on various approaches, including exact diagonalization, series expansions and density-matrix renormalization group calculations. Using the recently-developed tensor network states and groundstate fidelity approach for quantum spin ladders, we find no evidence for the existence of the columnar dimer phase. We also provide an argument based on the symmetry of the Hamiltonian, which suggests that the phase diagram for antiferromagnetic couplings consists of a single line separating the rung-singlet and the Haldane phases.
KW - Fidelity
KW - Quantum phase transition
KW - Spin ladder
KW - Tensor networks
UR - http://www.scopus.com/inward/record.url?scp=84966349293&partnerID=8YFLogxK
U2 - 10.3938/jkps.68.1114
DO - 10.3938/jkps.68.1114
M3 - Article
SN - 0374-4884
VL - 68
SP - 1114
EP - 1119
JO - Journal of the Korean Physical Society
JF - Journal of the Korean Physical Society
IS - 9
ER -