Flat spin wave dispersion in a triangular antiferromagnet

Abstract

The excitation spectrum of a S=1/2 2D triangular quantum antiferromagnet is studied using 1/S expansion. Due to the non-collinearity of the classical ground state significant and non-trivial corrections to the spin wave spectrum appear already in the first order in 1/S in contrast to the square lattice antiferromagnet. The resulting magnon dispersion is almost flat in a substantial portion of the Brillouin zone. Our results are in quantitative agreement with recent series expansion studies by Zheng, Fjaerestad, Singh, McKenzie, and Coldea [PRL 96, 057201 (2006) and cond-mat/0608008].

4.1 pages, 13 figures; v2 - as published, references updated

References in corpus (11)

• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• An RVB phase in the triangular lattice quantum dimer model
• Experimental realization of a 2D fractional quantum spin liquid
• Quantum Phase Transition in Frustrated Two-Dimensional Antiferromagnets
• Anomalous Excitation Spectra of Frustrated Quantum Antiferromagnets
• Electron correlation and Fermi surface topology of Na${}_x$CoO${}_2$
• 1/S-expansion study of spin waves in a two-dimensional Heisenberg antiferromagnet
• Algebraic vortex liquid in spin-1/2 triangular antiferromagnets: Scenario for Cs_2CuCl_4
• Ground states of a frustrated spin-1/2 antifferomagnet: Cs_2CuCl_4 in a magnetic field
• Spin dynamics of the quasi two dimensional spin-1/2 quantum magnet Cs_2CuCl_4
• Spin Structure Factor of the Frustrated Quantum Magnet Cs_2CuCl_4

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