Comparison between disordered quantum spin 1/2 chains

Abstract

We study the magnetic properties of two types of one dimensional XX spin 1/2 chains. The first type has only nearest neighbor interactions which can be either antiferromagnetic or ferromagnetic and the second type which has both nearest neighbor and next nearest neighbor interactions, but only antiferromagnetic in character. We study these systems in the presence of low transverse magnetic fields both analytically and numerically. Comparison of results show a close relation between the two systems, which is in agreement with results previously found in Heisenberg chains by means of a numerical real space renormalization group procedure.

7 pages

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Cited by in corpus (12)

• Strong Disorder RG approach - a short review of recent developments
• Entanglement Properties of Disordered Quantum Spin Chains with Long-Range Antiferromagnetic Interactions
• Combined analytical and numerical approach to study magnetization plateaux in doped quasi-one-dimensional antiferromagnets
• Statistical transmutation in doped quantum dimer models
• Localization of spinons in random Majumdar-Ghosh chains
• Statistics of holes and nature of superfluid phases in Quantum dimer models
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Excited-Eigenstate Entanglement Properties of XX Spin Chains with Random Long-Range Interactions
• Phase diagram study of a dimerized spin-S zig-zag ladder
• Griffiths-McCoy singularities in random quantum spin chains: Exact results
• Non-universal non-equilibrium critical dynamics with disorder
• The characteristic polynomial of the next-nearest-neighbour qubit chain for single excitations