Turkish Journal of Physics
DOI
10.3906/fiz-2002-24
Abstract
The field-free quantum-spin-1/2 XXZ model is studied in three-dimensions using renormalization group theory. We obtain global phase diagrams and critical properties. We identify zero-temperature quantum phase transitions at isotropic points, as well as long-range order below critical temperatures at all anisotropies. We show that the excitation spectrum is gapless in XY-like, and gapped in Ising-like anisotropy regimes. Besides, internal energy density, specific heat, nearest-neighbor entanglement measures and spin-spin correlations are obtained globally at all temperatures. Our numerical results cover the global range of anisotropy parameter, for both ferromagnetic and antiferromagnetic cases.
Keywords
Statistical mechanics of spin systems, renormalization group theory, thermodynamic functions, quantum entanglement, classical and quantum magnetic phase transitions
First Page
288
Last Page
301
Recommended Citation
SARIYER, OZAN SABAHATTİN
(2020)
"Field-free quantum-spin-1/2 XXZ model in three-dimensions: phases, phase transitions, and phase diagrams by renormalization group theory,"
Turkish Journal of Physics: Vol. 44:
No.
3, Article 6.
https://doi.org/10.3906/fiz-2002-24
Available at:
https://journals.tubitak.gov.tr/physics/vol44/iss3/6
