Dyson hierarchical quantum ferromagnetic Ising chain with pure or random transverse fields

Abstract

The Dyson hierarchical version of the quantum Ising chain with Long-Ranged power-law ferromagnetic couplings $J(r)\propto r^{-1-\sigma }$ and pure or random transverse fields is studied via real-space renormalization. For the pure case, the critical exponents are explicitly obtained as a function of the parameter $\sigma$, and are compared with previous results of other approaches. For the random case, the RG rules are numerically applied and the critical behaviors are compared with previous Strong Disorder Renormalization results.

arXiv comment21 pages, 4 figures, v2=final version

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Cited by in corpus (7)

• Long-range interacting quantum systems
• Strong Disorder RG approach - a short review of recent developments
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Long-range random transverse-field Ising model in three dimensions
• Phase-transitions of the random bond Potts chain with long-range interactions
• Mixed field theory
• Properties of the simplest inhomogeneous and homogeneous Tree-Tensor-States for Long-Ranged Quantum Spin Chains with or without disorder