String Picture for a Model of Frustrated Quantum Magnets and Dimers

2004/09/30 by Ying Jiang, Thorsten Emig · 1 citation
Physics and Astronomy · #Condensed matter physics #Frustration #Ising model #Lattice (music) #Magnet #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum fluctuation #Quantum many-body systems #Quantum mechanics #String (physics) #Theoretical and Computational Physics #Theoretical physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.94.110604

published as Phys. Rev. Lett. 94, 110604 (2005) · 4 pages, 2 figures

arxiv created 2004/09/30 · openalex publication_date 2005/03/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the effect of quantum dynamics on geometrically frustrated magnets for a transverse field Ising model at finite temperatures. We develop a microscopic derivation of the Landau-Ginzburg-Wilson action for this model and show that it can be interpreted as the free energy of a 3D elastic lattice of noncrossing strings. As a first application, we quantitatively predict the phase diagram and correlations, confirming excellently a key prediction of recent simulations about the existence of unusual phase transitions and an ordered phase. We discuss the implications of our string picture for the understanding of the effect of quenched disorder in such quantum frustrated systems.

Citations

• Test of replica theory: Thermodynamics of two-dimensional model systems with quenched disorder
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Phase diagram of the hexagonal lattice quantum dimer model
• Topologically protected quantum bits using Josephson junction arrays
• Two-Dimensional Periodic Frustrated Ising Models in a Transverse Field

Cited by

• Ordering of geometrically frustrated classical and quantum triangular Ising magnets