Goldstone modes in the emergent gauge fields of a frustrated magnet

Abstract

We consider magnon excitations in the spin-glass phase of geometrically frustrated antiferromagnets with weak exchange disorder, focussing on the nearest-neighbour pyrochlore-lattice Heisenberg model at large spin. The low-energy degrees of freedom in this system are represented by three copies of a U(1) emergent gauge field, related by global spin-rotation symmetry. We show that the Goldstone modes associated with spin-glass order are excitations of these gauge fields, and that the standard theory of Goldstone modes in Heisenberg spin glasses (due to Halperin and Saslow) must be modified in this setting.

6 pages, 2 figures, published in Phys. Rev. B

References in corpus (7)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Three dimensional resonating valence bond liquids and their excitations
• Spin Freezing in Geometrically Frustrated Antiferromagnets with Weak Disorder
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Halperin-Saslow modes as the origin of the low temperature anomaly in $NiG{a}_2{S}_4$

Cited by in corpus (2)

• Effect of vacancy defects on geometrically frustrated magnets
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets