Low-Energy Properties of Antiferromagnetic Spin-1/2 Heisenberg Ladders with an Odd Number of Legs

Abstract

An effective low-energy description for multi-leg spin-1/2 Heisenberg ladders with an odd number of legs is proposed. Using a newly developed Monte Carlo loop algorithm and exact diagonalization techniques, the uniform and staggered magnetic susceptibility and the entropy are calculated for ladders with 1, 3, and 5 legs. These systems show a low-temperature scaling behavior similar to spin-1/2 chains with longer ranged unfrustrated exchange interactions. The spinon velocity does not change as the number of legs increases, but the energy scale parameter decreases markedly.

arXiv comment4 pages and 5 figures

Cited by in corpus (12)

• The Loop Algorithm
• Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
• Quantum magnetism in the stripe phase: bond- versus site order
• Lightly Doped t-J Three-Leg Ladders - an Analog for the Underdoped Cuprates
• Intermediate temperature dynamics of one-dimensional Heisenberg antiferromagnets
• Single hole dynamics in the t-J model on two- and three-leg ladders
• N-leg integer-spin ladders and tubes in commensurate external fields -Nonlinear sigma model approach-
• Pairing correlation in the two- and three-leg Hubbard ladders --- Renormalization and quantum Monte Carlo studies
• Phase diagram of three-leg ladders at strong coupling along the rungs
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• On the Application of the Non Linear Sigma Model to Spin Chains and Spin Ladders
• Low-lying magnon excitations in integer-spin ladders and tubes