Abstract
We study the magnetic susceptibility of the 1D quantum XY model, and show that when the temperature approaches zero, the magnetic susceptibility exhibits finite-temperature scaling behavior. The scaling behavior of the magnetic susceptibility in the 1D quantum XY model, due to the quantum-classical mapping, can easily be experimentally tested. Furthermore, the universality in the critical properties of the magnetic susceptibility in the quantum XY model is verified. Our study also reveals the close relation between the magnetic susceptibility and the geometric phase in some spin systems, where the quantum phase transitions are driven by an external magnetic field.
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