Quantitative description of long-range order in the spin- 12 XXZ antiferromagnet on the square lattice

Caci N, Hering DB, Walther M, Schmidt KP, Wessel S, Uhrig GS (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Physical Review B American Physical Society

Book Volume: 110

Article Number: 054411

Journal Issue: 5

DOI: 10.1103/PhysRevB.110.054411

Abstract

The quantitative description of long-range order remains a challenge in quantum many-body physics. We provide zero-temperature results from two complementary methods for the ground-state energy per site, the sublattice magnetization, the spin gap, and the transverse spin correlation length for the spin-1/2 quantum XXZ antiferromagnet on the square lattice. On the one hand, we use exact, large-scale quantum Monte Carlo (QMC) simulations. On the other hand, we use the semianalytic approach based on continuous similarity transformations in terms of elementary magnon excitations. Our findings confirm the applicability and quantitative validity of both approaches along the full parameter axis from the Ising point to the symmetry-restoring phase transition at the Heisenberg point and further provide quantitative reference results in the thermodynamic limit. In addition, we analytically derive the relation between the dispersion and the correlation length at zero temperature in arbitrary dimension, and discuss improved second-moment QMC estimators.

Authors with CRIS profile

Matthias Walther Lehrstuhl für Theoretische Physik Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Laboratoire Kastler Brossel (LKB) FR France (FR) Technische Universität Dortmund DE Germany (DE) Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE)

How to cite

APA:

Caci, N., Hering, D.B., Walther, M., Schmidt, K.P., Wessel, S., & Uhrig, G.S. (2024). Quantitative description of long-range order in the spin- 12 XXZ antiferromagnet on the square lattice. Physical Review B, 110(5). https://doi.org/10.1103/PhysRevB.110.054411

MLA:

Caci, Nils, et al. "Quantitative description of long-range order in the spin- 12 XXZ antiferromagnet on the square lattice." Physical Review B 110.5 (2024).

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