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

DOI10.1088/1742-5468/2015/05/P05026zbMath1456.82064arXiv1503.03727OpenAlexW3101991606MaRDI QIDQ3302254

Cécile Monthus

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03727

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (5)

Strong disorder RG approach -- a short review of recent developments ⋮ Dyson hierarchical long-ranged quantum spin-glass via real-space renormalization ⋮ Many-body localization: construction of the emergent local conserved operators via block real-space renormalization ⋮ Entanglement entropy of the long-range Dyson hierarchical model ⋮ Mixed field theory

Cites Work

• Unnamed Item
• Poisson statistics of eigenvalues in the hierarchical Anderson model
• Critical phenomena and universal exponents in statistical physics. On Dyson's hierarchical model
• Hyperscaling above the upper critical dimension
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Lifshits tails in the hierarchical Anderson model
• The density of states in the Anderson model at weak disorder: A renormalization group analysis of the hierarchical model
• A critical Dyson hierarchical model for the Anderson localization transition
• Random field Ising model: statistical properties of low-energy excitations and equilibrium avalanches
• One-dimensional Ising spin-glass with power-law interaction: real-space renormalization at zero temperature
• Low-temperature dynamics of long-ranged spin-glasses: full hierarchy of relaxation times via real-space renormalization
• Infinite-disorder critical points of models with stretched exponential interactions
• Block renormalization for quantum Ising models in dimensiond= 2: applications to the pure and random ferromagnet, and to the spin-glass
• Pure and random quantum Ising chain: Shannon and Rényi entropies of the ground state via real space renormalization
• Spectral localization in the hierarchical Anderson model
• The Anderson localization transition and eigenfunction multifractality in an ensemble of ultrametric random matrices
• Rare region effects at classical, quantum and nonequilibrium phase transitions
• Renormalization group and probability theory

This page was built for publication: Dyson hierarchical quantum ferromagnetic Ising chain with pure or random transverse fields