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Chin. Phys. B, 2021, Vol. 30(8): 087501    DOI: 10.1088/1674-1056/abec31

Ground-state phase diagram of the dimerizedspin-1/2 two-leg ladder

Cong Fu(傅聪)1, Hui Zhao(赵晖)1,†, Yu-Guang Chen(陈宇光)1, and Yong-Hong Yan(鄢永红)2
1 School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;
2 School of Mathematical Information, Shaoxing University, Shaoxing 312000, China
Abstract  Dimerized spin-1/2 ladders exhibit a variety of phase structures, which depend on the intra-chain and inter-chain spin exchange energies as well as on the dimerization pattern of the ladder. Using the density matrix renormalization group (DMRG) algorithm, we study critical properties of the bond-alternating two-leg Heisenberg spin ladder with diagonal interaction J×. Two types of spin systems, staggered dimerized antiferromagnetic ladder and columnar dimerized ferro-antiferromagnetic couplings ladder, are investigated. To clarify the phase transition behaviors, we simultaneously analyze the string order parameter (SOP), the twisted order parameter (TOP), as well as a measurement of the quantum information analysis. Based on measuring this different observables, we establish the phase diagram accurately and give the fitting functions of the phase boundaries. In addition, the phase transition of cross-coupled spin ladder (in the absence of intrinsic dimerization) is also discussed.
Keywords:  spin ladder      density matrix renormalization group      Heisenberg model      quantum phase transition  
Received:  31 December 2020      Revised:  31 December 2020      Accepted manuscript online:  05 March 2021
PACS:  75.10.Jm (Quantized spin models, including quantum spin frustration)  
  75.10.Pq (Spin chain models)  
  75.40.Mg (Numerical simulation studies)  
  75.50.Ee (Antiferromagnetics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11474218 and 11575116).
Corresponding Authors:  Hui Zhao     E-mail:

Cite this article: 

Cong Fu(傅聪), Hui Zhao(赵晖), Yu-Guang Chen(陈宇光), and Yong-Hong Yan(鄢永红) Ground-state phase diagram of the dimerizedspin-1/2 two-leg ladder 2021 Chin. Phys. B 30 087501

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