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

doi:10.1088/1674-1056/abec31

中国物理B ›› 2021, Vol. 30 ›› Issue (8): 87501-087501.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

收稿日期:2020-12-31 修回日期:2020-12-31 接受日期:2021-03-05 出版日期:2021-07-16 发布日期:2021-07-16
通讯作者: Hui Zhao E-mail:zhaoh@fudan.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474218 and 11575116).

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

Received:2020-12-31 Revised:2020-12-31 Accepted:2021-03-05 Online:2021-07-16 Published:2021-07-16
Contact: Hui Zhao E-mail:zhaoh@fudan.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474218 and 11575116).

摘要/Abstract

摘要： 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.

关键词: spin ladder, density matrix renormalization group, Heisenberg model, quantum phase transition

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.

Key words: spin ladder, density matrix renormalization group, Heisenberg model, quantum phase transition

中图分类号: (Quantized spin models, including quantum spin frustration)

75.10.Jm

75.10.Pq (Spin chain models) 75.40.Mg (Numerical simulation studies) 75.50.Ee (Antiferromagnetics)

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[J]. 中国物理B, 2021, 30(8): 87501-087501.

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[J]. Chin. Phys. B, 2021, 30(8): 87501-087501.

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

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

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