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Physica A Statistical Mechanics and its Applications

Spin dynamics of an Ising chain with bond impurity in a tilt magnetic field

Xiao-Juan Yuan, Jingfen Zhao, Hui Wang, Hongxia Bu, Huimin Yuan, Bang-Yu Zhao, Xiang-Mu Kong

Published Jul 24, 2021• 6 citations
Publisher
DOI
10.1016/j.physa.2021.126279

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We study the effect of inhomogeneities of the lattice in the S=1/2S=1/2S=1/2 bond-alternating chain by using a quantum Monte Carlo method and an exact diagonalization method. We adopt a defect in the alternating order as the inhomogeneity and we call it ``bond impurity.'' Local magnetic structures induced by the bond impurities are investigated both in the ground state and at very low temperatures. The local magnetic structure can be looked on as an effective S=1/2S=1/2S=1/2 spin and the weakness of the interaction between the local structures causes the quasidegenerate states in the low energy. We also investigate the force acting between bond impurities and find that the force is generally attractive. We also study the dynamical property of the local magnetic structure. While the local magnetic structure behaves as an isolated S=1/2S=1/2S=1/2 spin in the response to a time-dependent uniform field, it is found to be robust against the effect of noise applied at each site individually in the sweeping field.
Non-equilibrium spin-chain systems have been attracting increasing interest in energy transport. This work studies a one-dimensional non-equilibrium Ising chain immersed in a tilted magnetic field, where every spin contacts a Boson reservoir with the dissipative system-environment interaction. We analytically investigate the dynamics and the steady-state energy transport taking advantage of the Born-Markov-secular master equation. In the longitudinal field, one can find that the non-dissipative N' spins decompose the spin chain into N' + 1 independent subchains and block the heat currents from the hot end to the cool end. Moreover, for the non-dissipative μth spin, its nearest two bulk spins become the nodal spins in the subchains and have the corresponding energy correction of ±Jμ-1,μ and ±Jμ,μ+1 depending on the excited/ground state of the μth spin. Therefore, a magnetically controlled heat modulator can be designed by adjusting the direction of the magnetic field in which the non-dissipative spin is located. For the transverse field case, the whole Hilbert space of the chain can always be divided into two independent subspaces regardless of whether the bulk spin is dissipative. This work provides new insight into the dynamics and energy transport of the dissipative Ising model.