Overcoming the sign problem at finite temperature: Quantum tensor network for 
the orbital eg model on an infinite square lattice

Czarnik, P.; Dziarmaga, J.; Oleś, A.

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Overcoming the sign problem at finite temperature: Quantum tensor network for the orbital e_g model on an infinite square lattice

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Oleś, A.
Max Planck Society;

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Czarnik, P., Dziarmaga, J., & Oleś, A. (2017). Overcoming the sign problem at finite temperature: Quantum tensor network for the orbital e_g model on an infinite square lattice. Physical Review B, 96(1): 014420.

Cite as: https://hdl.handle.net/21.11116/0000-000E-D24E-E

Abstract

The variational tensor network renormalization approach to two-dimensional (2D) quantum systems at finite temperature is applied to a model suffering the notorious quantum Monte Carlo sign problem-the orbital e(g) model with spatially highly anisotropic orbital interactions. Coarse graining of the tensor network along the inverse temperature beta yields a numerically tractable 2D tensor network representing the Gibbs state. Its bond dimension D-limiting the amount of entanglement-is a natural refinement parameter. Increasing D we obtain a converged order parameter and its linear susceptibility close to the critical point. They confirm the existence of finite order parameter below the critical temperature T-c, provide a numerically exact estimate of T-c, and give the critical exponents within 1% of the 2D Ising universality class.