The exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit

DOI10.1088/1742-5468/2006/11/P11012zbMath1456.82527arXivcond-mat/0610738MaRDI QIDQ4968898

Carlo Presilla, Massimo Ostilli

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0610738

zbMATH Keywords

disordered systems (theory)quantum phase transitions (theory)Anderson model (theory)

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Exponential vanishing of the ground-state gap of the quantum random energy model via adiabatic quantum computing ⋮ Phase transitions and gaps in quantum random energy models ⋮ A perturbative probabilistic approach to quantum many-body systems ⋮ First-order quantum phase transitions as condensations in the space of states

Cites Work

• Constructive proof of localization in the Anderson tight binding model
• GROUND STATE OF MANY-BODY LATTICE SYSTEMS VIA A CENTRAL LIMIT THEOREM
• Probabilistic solution of Pauli type equations
• Berezin integrals and Poisson processes

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