2017/08/23 by Piotr Czarnik, Jacek Dziarmaga, Andrzej M. Oleś
Mathematics · Physics and Astronomy · #Compass #Condensed matter physics #Critical exponent #Frustration #Geometry #Imaginary time #Ising model #Mathematical physics #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum statistical mechanics #Renormalization #Renormalization group #Scaling #Square lattice #Statistical physics #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.12693/aphyspola.133.359
published in Acta Physica Polonica A 133(3), 359-361 (Polish Academy of Sciences) · 4 pages, 2 figures, accepted by Acta Physica Polonica A
arxiv created 2017/08/23 · openalex created_date 2017/08/31 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
We investigate thermodynamic phase transitions in the compass model and in eg orbital model on an infinite square lattice by variational tensor network renormalization (VTNR) in imaginary time. The onset of nematic order in the quantum compass model is estimated at TcJ 0.0606p4q. For the eg orbital model one finds: (i) a very accurate estimate of TcJ 0.3566 0.0001 and (ii) the critical exponents in the Ising universality class. Remarkably large difference in frustration results in so distinct values of Tc, while entanglement influences the quality of Tc estimation.