Construction of spin models displaying quantum criticality from quantum field theory
arXiv:1405.4135 · doi:10.1016/j.nuclphysb.2014.06.016
Abstract
We provide a method for constructing finite temperature states of one-dimensional spin chains displaying quantum criticality. These models are constructed using correlators of products of quantum fields and have an analytical purification. Their properties can be investigated by Monte-Carlo simulations, which enable us to study the low-temperature phase diagram and to show that it displays a region of quantum criticality. The mixed states obtained are shown to be close to the thermal state of a simple nearest neighbour Hamiltonian.
10 pages, 6 figures
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