Affine lattice construction of spiral surfaces in frustrated Heisenberg models

Péter Balla, Yasir Iqbal, Karlo Penc

Research output: Contribution to journalArticle

Abstract

Frustration in classical spin models can lead to degenerate ground states without long-range order. In reciprocal space, these degeneracies appear as manifolds of wave vectors, their dimensionality increasing with the degree of frustration and the robustness of the disordered spin-liquid state. Here, we present a recipe to explicitly construct Heisenberg models on Bravais lattices with codimension-one manifolds, i.e., lines in two dimensions and surfaces with different Euler characteristics in three dimensions. Furthermore, we discuss the role of thermal and quantum fluctuations in stabilizing ordered states.

Original languageEnglish
Article number140402
JournalPhysical Review B
Volume100
Issue number14
DOIs
Publication statusPublished - Oct 3 2019

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frustration
Ground state
ground state
Liquids
liquids
Hot Temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Affine lattice construction of spiral surfaces in frustrated Heisenberg models. / Balla, Péter; Iqbal, Yasir; Penc, Karlo.

In: Physical Review B, Vol. 100, No. 14, 140402, 03.10.2019.

Research output: Contribution to journalArticle

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