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.
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
[1] Azuma M, Hiroi Z, Takano M, Ishida K and Kitaoka Y 1994 Phys. Rev. Lett.73 3463 [2] Hong T, Schmidt K P, Coester K, Awwadi F F, Turnbull M M, Qiu Y, Rodriguez-Rivera J A, Zhu M, Ke X, Aoyama C P, Takano Y, Cao H B, Tian W, Ma J, Custelcean R, Zhou H D and Matsuda M 2014 Phys. Rev. B89 174432 [3] Rao G N, Sankar R, Singh A, Muthuselvam I P, Chen W T, Singh V N, Guo G Y and Chou F C 2016 Phys. Rev. B93 104401 [4] Gibbs A S, Yamamoto A, Yaresko A N, Knight K S, Yasuoka H, Majumder M, Baenitz M, Saines P J, Hester J R, Hashizume D, Kondo A, Kindo K and Takagi H 2017 Phys. Rev. B95 104428 [5] Glamazda A, Choi Y S, Do S H, Lee S, Lemmens P, Ponomaryov A N, Zvyagin S A, Wosnitza J, Sari D P, Watanabe I and Choi K Y 2017 Phys. Rev. B95 184430 [6] Macdougal D, Gibbs A S, Ying T, Wessel S, Walker H C, Voneshen D, Mila F, Takagi H and Coldea R 2018 Phys. Rev. B98 174410 [7] Starykh O A and Balents L 2004 Phys. Rev. Lett.93 127202 [8] Azzouz M, Shahin K and Chitov G Y 2007 Phys. Rev. B76 132410 [9] Hung H H, Gong C D, Chen Y C and Yang M F 2006 Phys. Rev. B73 224433 [10] Kim E H, Legeza Ö and Sólyom J 2008 Phys. Rev. B77 205121 [11] Barcza G, Legeza Ö, Noack R M and Sólyom J 2012 Phys. Rev. B86 075133 [12] Luo Q, Zhao J Z and Wang X Q 2019 Phys. Rev. B100 121111 [13] Liu G H, Wang H L and Tian G S 2008 Phys. Rev. B77 214418 [14] Hikihara T and Starykh O A 2010 Phys. Rev. B81 064432 [15] Dagotto E and Rice T M 1996 Science271 618 [16] White S R, Noack R M and Scalapino D J 1994 Phys. Rev. Lett.73 886 [17] Martín-Delgado M A, Shankar R and Sierra G 1996 Phys. Rev. Lett.77 3443 [18] Okamoto K 2003 Phys. Rev. B67 212408 [19] Almeida J, Martín-Delgado M A and Sierra G 2007 Phys. Rev. B76 184428 [20] Chitov G Y, Ramakko B W and Azzouz M 2008 Phys. Rev. B77 224433 [21] Gibson S J, Meyer R and Chitov G Y 2011 Phys. Rev. B83 104423 [22] White S R 1992 Phys. Rev. Lett.69 2863 [23] White S R 1993 Phys. Rev. B48 10345 [24] Nakamura M and Todo S 2002 Phys. Rev. Lett.89 077204 [25] Almeida J, Martín-Delgado M A and Sierra G 2008 J. Phys. A: Math. Theor.41 485301 [26] Feiguin A E, Riera J A, Dobry A and Ceccatto H A 1997 Phys. Rev. B56 14607 [27] den Nijs M and Rommelse K 1989 Phys. Rev. B40 4709 [28] Shelton D G, Nersesyan A A and Tsvelik A M 1996 Phys. Rev. B53 8521 [29] Wootters W K 1998 Phys. Rev. Lett.80 2245 [30] Gu S J, Deng S S, Li Y Q and Lin H Q 2004 Phys. Rev. Lett.93 086402 [31] Wu L A, Sarandy M S and Lidar D A 2004 Phys. Rev. Lett.93 250404 [32] Sólyom J and Legeza Ö 2006 Phys. Rev. Lett.96 116401 [33] Legeza Ö, Sólyom J, Tincani L and Noack R M 2007 Phys. Rev. Lett.99 087203 [34] Molina R A and Schmitteckert P 2007 Phys. Rev. B75 235104 [35] Tian G S and Lin H Q 2003 Phys. Rev. B67 245105
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