Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions
Abstract
Nematic ordering, where the spins globally align along a spontaneously chosen axis irrespective of direction, occurs in spin-glass systems of classical Heisenberg spins in d=3. In this system where the nearest-neighbor interactions are quenched randomly ferromagnetic or antiferromagnetic, instead of the locally randomly ordered spin-glass phase, the system orders globally as a nematic phase. The system is solved exactly on a hierarchical lattice and, equivalently, Migdal-Kadanoff approximately on a cubic lattice. The global phase diagram is calculated, exhibiting this nematic phase, and ferromagnetic, antiferromagnetic, disordered phases. The nematic phase of the classical Heisenberg spin-glass system is also found in other dimensions d>2: We calculate nematic transition temperatures in 24 dimensions in 2<d=<4.
Keywords
Cite
@article{arxiv.2206.06060,
title = {Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions},
author = {Egemen Tunca and A. Nihat Berker},
journal= {arXiv preprint arXiv:2206.06060},
year = {2025}
}
Comments
6 pages, 6 figures. arXiv admin note: text overlap with arXiv:2202.06049