Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-11-22
Phys. Rev. E, 79, (2009) 060101R
Physics
Condensed Matter
Strongly Correlated Electrons
4+ pages, 3 figures
Scientific paper
10.1103/PhysRevE.79.060101
A systematic analysis is performed for quantum phase transitions in a two-dimensional anisotropic spin 1/2 anti-ferromagnetic XYX model in an external magnetic field. With the help of an innovative tensor network algorithm, we compute the fidelity per lattice site to demonstrate that the field-induced quantum phase transition is unambiguously characterized by a pinch point on the fidelity surface, marking a continuous phase transition. We also compute an entanglement estimator, defined as a ratio between the one-tangle and the sum of squared concurrences, to identify both the factorizing field and the critical point, resulting in a quantitative agreement with quantum Monte Carlo simulation. In addition, the local order parameter is "derived" from the tensor network representation of the system's ground state wave functions.
Li Bo
Li Sheng-Hao
Zhou Huan-Qiang
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