First order phase transition in the anisotropic quantum orbital compass model

Details First order phase transition in the anisotropic quantum orbital compass model First order phase transition in the anisotropic quantum orbital compass model

2008-09-24

arxiv.org/abs/0809.4068v2

Physical Review Letters 102, 077203 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, major revision with new results

Scientific paper

10.1103/PhysRevLett.102.077203

We investigate the anisotropic quantum orbital compass model on an infinite square lattice by means of the infinite projected entangled-pair state algorithm. For varying values of the $J_x$ and $J_z$ coupling constants of the model, we approximate the ground state and evaluate quantities such as its expected energy and local order parameters. We also compute adiabatic time evolutions of the ground state, and show that several ground states with different local properties coexist at $J_x = J_z$. All our calculations are fully consistent with a first order quantum phase transition at this point, thus corroborating previous numerical evidence. Our results also suggest that tensor network algorithms are particularly fitted to characterize first order quantum phase transitions.

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