Critical behavior of XY spin chain with Dzyaloshinsky-Moriya interaction studied in terms of Loschmidt echo |
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Authors: | HanLi Lian DongPing Tian |
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Affiliation: | a School of Science, Xi''an Jiaotong University, Xi''an 710049, PR China b School of Science, Xi''an University of Posts and Telecommunications, Xi''an 710121, PR China |
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Abstract: | In this paper, the critical behavior of the general XY spin chain with the Dzyaloshinsky-Moriya (DM) interaction is studied by means of a Loschmidt Echo (LE) calculation. LE presents a Gauss decay in the region of magnetic field intensity |λ|<1 and an exponential decay in the region of |λ|>1. There exists a critical spin chain size NC. When spin chain size is larger than NC, the value of λ corresponding to the minimum value of LE (λm) is independent of the spin chain size and keeps a stable value. In the region of λ<0, the stable value is same for different DM interactions. In the region of λ>0, the stable value varies with changing DM interaction. |
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Keywords: | Loschmidt Echo Dzyaloshinsky-Moriya interaction Quantum critical behavior |
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