Abstract

By means of the recently proposed algorithm based on the tensor product states,the magnetization process of the spin-1/2 antiferromagnetic XXZ model on asquare lattice is investigated. In the large spin-anisotropy limit, clear evidence of afirst-order spin–flip transition is observed as an external magnetic field is increased.Our findings of the critical field and the discrete jumps in various local orderparameters are in good agreement with the quantum Monte Carlo data in theliterature. Our results imply that this algorithm can be an accurate and efficientnumerical approach in studying first-order quantum phase transitions in twodimensions.

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