Study of the critical behavior of a three-dimensional Heisenberg XXZ model via entanglement

M. Tahir Iftikhar, M. Khalid Khan, Asif Ilyas and Marcelo F. Ciappina

Physica A: Statistical Mechanics and its Applications, 2023, vol. 630, issue C

Abstract: We investigate the characteristics of the Heisenberg anisotropic spin-12 XXZ model, in three dimensions, using the quantum coherence and the trace distance. By employing the iterative renormalization group scheme, we explore the thermodynamic limits of the system within the few iterations regime, leading to quantum phase transitions. Both quantifiers, the coherence, and the trace distance, hints at a transition between the spin fluid and the Néel phase of the model by attaining different saturated values. Additionally, a non-analyticity in the first derivative also accounts for the occurrence of a quantum phase transition at the critical point. Furthermore, we compute the critical exponents, from the scaling behavior of the quantifiers, which provide valuable insights into the system’s critical behavior. The correlation length is also described by the critical exponents. To strengthen the results obtained from the coherence and trace distance, concurrence is also examined. Overall, our findings contribute to a better understanding of the quantum properties and phase transitions in bulk crystals.

Keywords: Quantum phase transitions; Heisenberg models; Condensed Matter; Renormalization group; Numerical Methods; Critical behavior (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437123008403
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:630:y:2023:i:c:s0378437123008403

DOI: 10.1016/j.physa.2023.129285

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().