Abstract
The effects of symmetric helical interaction which is called the Kaplan, Shekhtman, Entin-Wohlman, and Aharony (KSEA) interaction on the ground-state properties of three kinds of spin chains in a transverse field have been studied by means of correlation functions and chiral order parameter. We find that the anisotropic transition of XY chain in a transverse field (XY TF) disappears because of the KSEA interaction. For the other two chains, we find that the regions of gapless chiral phases in the parameter space induced by the Dzyaloshinskii and Moriya (DM) or XZY − Y ZX type of three-site interaction are decreased gradually with increase of the strength of KSEA interaction. When it is larger than the coefficient of DM or XZY − Y ZX type of three-site interaction, the gapless chiral phases also disappear.
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References
S. Sachdev,Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999)
M. Takahashi,Thermodynamics of One-dimensional Solvable4 models (Cambridge University Press, Cambridge, 1999)
S. Katsura, Phys. Rev. 127, 1508 (1962)
E.R. Smith, J. Phys. C 3, 1419 (1970)
J.H.H. Perk, H.W. Capel, M.J. Zailhof et al., Physica A 81, 319 (1975)
H. Nishimori, Phys. Lett. A 100, 239 (1984)
O. Derzhko, J. Richter, Phys. Rev. B 55, 14298 (1997)
G.I. Japaridze, R.M. Noack, D. Baeriswyl et al., Phys. Rev. B 76, 115118 (2007)
C.-B. Duan, W.-Z. Zhong, J. Phys.: Condens. Matter 22, 345601 (2010)
C.-C. Liu, J.-D. Shi, Z.-Y. Ding et al., Quantum Inf. Process. 15, 3209 (2016)
K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975)
A. Langari, Phys. Rev. B 69, 100402 (2004)
T. Werlang, C. Trippe, G.A.P. Ribeiro et al., Phys. Rev. Lett. 105, 095702 (2010)
E. Lieb, T. Schultz, D. Mattis, Ann. Phys. (N.Y.) 16, 407 (1961)
M. Zhong, H. Xu, X.-X. Liu et al., Chin. Phys. B 22, 090313 (2013)
X.-X. Liu, M. Zhong, H. Xu et al., J. Stat. Mech. 2012, P01003 (2012)
T. Moriya, Phys. Rev. 120, 91 (1960)
T. Moriya, Phys. Rev. Lett. 4, 228 (1960)
T.A. Kaplan, Z. Phys. B 49, 313 (1983)
L. Shekhtman, O. Entin-Wohlman, A. Aharony, Phys. Rev. Lett. 69, 836 (1992)
J. Chovan, M. Marder, N. Papanicolaou, Phys. Rev. B 88, 064421 (2013)
A. Zheludev, S. Maslov, I. Tsukadaet et al., Phys. Rev. Lett. 81, 5410 (1998)
A. Zheludev, S. Maslov, G. Shiraneet et al., Phys. Rev. B 59, 11432 (1999)
I. Tsukada, J. Takeya, T. Masuda et al., Phys. Rev. B 62, R6061 (2000)
S. Mühlbauer, S. Gvasaliya, E. Ressoucheet et al., Phys. Rev. B 86, 024417 (2012)
S. Mühlbauer, G. Brandl, M. Månsson, M. Garst, Phys. Rev. B 96, 134409 (2017)
H. Shiba, K. Ueda, O. Sakai, J. Phys. Soc. Jpn. 69, 1493 (2000)
M.D. Lumsden, B.C. Sales, D. Mandrus et al., Phys. Rev. Lett. 86, 159 (2001)
I. Tsukada, X.-F. Sun, S. Komiya et al., Phys. Rev. B 67, 224401 (2003)
R. Citro, E. Orignac, Phys. Rev. B 65, 134413 (2002)
H.-L. Liu, Z.-G. Wang, C.-Q. Yang et al., Chin. Phys. B 16, 123858 (2007)
H.-L. Liu, X.-S. Huang, Z.-G. Wang et al., Chin. Phys. B 19, 117502 (2010)
P.D. Kurilovich, V.D. Kurilovich, I.S. Burmistrov, Phys. Rev. B 94, 155408 (2016)
T.-T. Liu, J. Ren, P.-Q. Tong, Phys. Rev. B 98, 184426 (2018)
C.-N. Yang, T.-D. Lee, Phys. Rev. 87, 404 (1952)
T.-D. Lee, C.-N. Yang, Phys. Rev. 87, 410 (1952)
P.-Q. Tong, X.-X. Liu, Phys. Rev. Lett. 97, 017201 (2006)
J. Stolze, V.S. Viswanath, G.Z. Müller, Physica B 89, 45 (1992)
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Fu, H., Zhong, M. & Tong, P. The effects of KSEA interaction on the ground-state properties of spin chains in a transverse field. Eur. Phys. J. B 93, 80 (2020). https://doi.org/10.1140/epjb/e2020-100542-1
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DOI: https://doi.org/10.1140/epjb/e2020-100542-1