Quantum spin liquids: a large-Sroute

2003/08/05 by Oleg Tchernyshyov · 6 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Nuclear materials and radiation effects #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.1088/0953-8984/16/11/019

published as J. Phys.: Condens. Matter 16, S709 (2004) · Proceedings of Highly Frustrated Magnetism 2003 (Grenoble), 6 LaTeX pages

arxiv created 2003/08/05 · openalex publication_date 2004/03/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

This paper explores the large- S route to quantum disorder in the Heisenberg antiferromagnet on the pyrochlore lattice and its homologues in lower dimensions. It is shown that zero-point fluctuations of spins shape up a valence-bond solid at low temperatures for one two-dimensional lattice and a liquid with very short-range valence-bond correlations for another. A one-dimensional model demonstrates potential significance of quantum interference effects (as in Haldane's gap): the quantum melting of a valence-bond order yields different valence-bond liquids for integer and half-integer values of S .

Citations

• Spin-Peierls phases in pyrochlore antiferromagnets
• Bond order from disorder in the planar pyrochlore magnet

Cited by

• Semiclassical Ordering in the Large-NPyrochlore Antiferromagnet
• Monopole flux state on the pyrochlore lattice
• Geometric criticality for transitions between plaquette phases in integer-spin kagome XXZ antiferromagnets
• Order by Disorder and Gaugelike Degeneracy in a Quantum Pyrochlore Antiferromagnet
• Antiferromagnetic spin-frustrated layers of corner-sharing Cu 4 tetrahedra on the kagome lattice in volcanic minerals Cu 5 O 2 (VO 4 ) 2 (CuCl), NaCu 5 O 2 (SeO 3 ) 2 Cl 3 , and K 2 Cu 5 Cl 8 (OH) 4 ·2H 2 O
• Triangular and Kagome Antiferromagnets with a Strong Easy-Axis Anisotropy

Related

• Ground state of the S=1/2 pyrochlore Heisenberg antiferromagnet: A quantum spin liquid emergent from dimensional reduction
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Valence-bond crystal in a 111 slice of the pyrochlore antiferromagnet
• Bond order from disorder in the planar pyrochlore magnet
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials