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- Title
Quantum topological excitations: from the sawtooth lattice to the Heisenberg chain.
- Authors
Blundell, S. A.; Núñez-Regueiro, M. D.
- Abstract
: From the recently determined structure of the delafossite YCuO2.5, we argue that the Cu-O network has nearly independent Δ chains but with different interactions between the s = 1/2 spins. Motivated by this observation, we study the Δ chain for different ratios of the base-base and base-vertex interactions, Jbb/Jbv. By exact diagonalization and extrapolation, we show that the elementary excitation spectrum is the same for total spins Stot = 0 and 1, but not for Stot = 2, and has a gap only in the interval 0.4874(1) ⩽ Jbb/Jbv ⩽ 1.53(1). The gap, known to be dispersionless for Jbb = Jbv, is found to acquire increasing k-dependence as Jbb/Jbv moves away from unity.
- Subjects
QUANTUM theory; HEISENBERG uncertainty principle; MAGNETIC materials; SIMULATION methods &; models; FERROMAGNETIC materials
- Publication
European Physical Journal B: Condensed Matter, 2003, Vol 31, Issue 4, p453
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2003-00054-2