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Effects of bond alternation and the Dzyaloshinskii-Moriya interaction on the ground-state phase diagram of the Ising model

  • Guang-Hua Liu
  • Wei Li
  • Wen-Long You
  • Gang Su
  • Guang-Shan Tian
Regular Article

Abstract

The bond-alternative ferromagnetic Ising model with the Dzyaloshinskii-Moriya (DM) interaction is investigated using an infinite time-evolving block decimation (iTEBD) algorithm, and two interesting phase diagrams are proposed. Without bond alternation, there are only two well-known phases (a ferromagnetic phase and an x-y spiral (chiral Luttinger liquid) phase). Once the bond alternation is taken into account, two additional interesting phases (a z-chiral and a z-stripe phases) are induced. Nonzero chiral order is observed in all phases except the ferromagnetic phase. Two kinds of chiral phase, with or without string order, are identified. With the y-axis DM interaction, the phase diagram becomes relatively simple, and consists of only two different phases (a ferromagnetic phase and a y-chiral phase). First-order metamagnetic phase transitions from the ferromagnetic phase into the other phases are observed in both cases.

Keywords

Computational Methods 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Guang-Hua Liu
    • 1
  • Wei Li
    • 2
  • Wen-Long You
    • 3
  • Gang Su
    • 4
  • Guang-Shan Tian
    • 5
  1. 1.Department of PhysicsTianjin Polytechnic UniversityTianjinP.R. China
  2. 2.Department of PhysicsBeihang UniversityBeijingP.R. China
  3. 3.School of Physical Science and Technology, Soochow UniversitySuzhou, JiangsuP.R. China
  4. 4.College of Physical Sciences, Graduate University of Chinese Academy of SciencesBeijingP.R. China
  5. 5.School of Physics, Peking UniversityBeijingP.R. China

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