We introduce a two-dimensional frustrated Heisenberg antiferromagnet on interpenetrating honeycomb and triangular lattices. Classically the two sublattices decouple, and "order from disorder" drives them into a coplanar state. Applying Friedan's geometric approach to nonlinear sigma models, we obtain the scaling of the spin stiffnesses governed by the Ricci flow of a four-dimensional metric tensor. At low temperatures, the relative phase between the spins on the two sublattices is described by a six-state clock model with an emergent critical phase.We introduce a two-dimensional frustrated Heisenberg antiferromagnet on interpenetrating honeycomb and triangular lattices. Classically the two sublattices decouple, and "order from disorder" drives them into a coplanar state. Applying Friedan's geometric approach to nonlinear sigma models, we obtain the scaling of the spin stiffnesses governed by the Ricci flow of a four-dimensional metric tensor. At low temperatures, the relative phase between the spins on the two sublattices is described by a six-state clock model with an emergent critical phase.

arXiv:1206.5740Physical Review LettersDec 4, 201219 citations

Disordered phase of a two-dimensional Heisenberg model with

S. Moukouri

arXiv:cond-mat/0510288Physics Letters ANov 30, 200514 citations

Frustrated spin- 1 2 Heisenberg magnet on a square-lattice bilayer: High-order study of the quantum critical behavior of the J 1 − J 2 − J 1 ⊥ model

R. F. Bishop, P. H. Y. Li, Oliver Götze +1 more

The frustrated spin-\textonehalf{} ${J}_{1}$ - ${J}_{2}$ Heisenberg antiferromagnet on the 2D square lattice is a paradigmatic model of quantum magnetism. Despite extensive investigations over the last 30 years, no consensus has emerged for its zero-temperature quantum phase diagram. The authors explore its bilayer ${J}_{1}$ - ${J}_{2}$ - ${J}_{1}$ ┴ counterpart by including an exchange coupling ${J}_{1}$ ┴ between partner sites on the two layers. As well as being of great interest in its own right, the model provides considerable insight into the single-layer case by expanding to a two-parameter regime that includes the monolayer as a single slice.The frustrated spin-\textonehalf{} ${J}_{1}$-${J}_{2}$ Heisenberg antiferromagnet on the 2D square lattice is a paradigmatic model of quantum magnetism. Despite extensive investigations over the last 30 years, no consensus has emerged for its zero-temperature quantum phase diagram. The authors explore its bilayer ${J}_{1}$-${J}_{2}$-${J}_{1}$┴ counterpart by including an exchange coupling ${J}_{1}$┴ between partner sites on the two layers. As well as being of great interest in its own right, the model provides considerable insight into the single-layer case by expanding to a two-parameter regime that includes the monolayer as a single slice.

arXiv:1905.03562Physical review. B./Physical review. BJul 1, 201925 citations

Second-order phase transitions in a frustrated two-dimensional Heisenberg antiferromagnet

А. Ф. Барабанов, V. M. BEREZOVSKII

Journal of Experimental and Theoretical PhysicsOct 1, 199415 citations

The frustrated spin-\textonehalf{}

{J}_{1}

{J}_{2}

Heisenberg antiferromagnet on the 2D square lattice is a paradigmatic model of quantum magnetism. Despite extensive investigations over the last 30 years, no consensus has emerged for its zero-temperature quantum phase diagram. The authors explore its bilayer

{J}_{1}

{J}_{2}

{J}_{1}

┴ counterpart by including an exchange coupling

{J}_{1}

┴ between partner sites on the two layers. As well as being of great interest in its own right, the model provides considerable insight into the single-layer case by expanding to a two-parameter regime that includes the monolayer as a single slice.