Investigation entanglemenet entropy and entanglement spectrum of the spin-1/2 chain with hexamer modulation of exchange

Document Type : Full length research Paper

Authors

1 Department of Physics, Faculty of Science, Islamic azad University, Takestan Branch, Takestan, Iran

2 Department of Physics, University of Guilan, 41335-1914 Rasht, Iran

Abstract

In this paper, we consider the spin-1/2 Heisenberg chain with alternating exchange in presence of hexamer modulation of exchange on bonds. We studied the effect of uniform external magnetic field on the ground state phase diagram of this model using numerical Lanczos method. The ground state phase diagram consists of three gapless Luttinger Liquid(LL), two gapped plateau phases and a singlet spin phase. It is specified in the presence of additional modulation of exchange, the magnetization curve of system has two plateaus in magnetization diagram that are equal to and of the saturation value, respectively. Here, numerically we compute the entanglement entropy and the entanglement spectrum for a chain with finite number of particle. Numerical results shows that the singlet gapped phase exhibits four times degenerate and the first and second gapped plateau phases indicate two times degenerate.

Keywords

References

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History

  • Receive Date: 18 October 2019
  • Revise Date: 03 May 2020
  • Accept Date: 21 September 2020

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