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arXiv · 2206.06060

Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions

Egemen Tunca·A. Nihat Berker
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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.

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Egemen Tunca, A. Nihat Berker. 2022-06-13. Nematic Ordering in the Heisenberg Spin-Glass System in d=3 Dimensions. https://doi.org/10.1103/physreve.107.014116

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