Nematic ordering in the Heisenberg spin-glass system in three dimensions

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Date

2023

Authors

Berker, A. Nihat

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Amer Physical Soc

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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. This nematic ordering of the Heisenberg spin -glass system is dramatically different from the spin-glass ordering of the Ising spin-glass system. 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 different dimensions in 2 < d 4.

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Hierarchical Lattices, Symmetry-Breaking, Renormalization, Models, Parameter, Hierarchical Lattices, Symmetry-Breaking, Renormalization, Models, Parameter

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2

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Physical Review E

Volume

107

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1

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