Critical behavior of the aperiodic quantum Ising chain in a transverse magnetic field

DOI10.1007/BF01048019zbMath1100.82511OpenAlexW2030379704MaRDI QIDQ2499872

Jean-Marc Luck

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048019

zbMATH Keywords

phase transitionscritical phenomenaIsing modelquantum spin chainsquasicrystalsincommensurate structuresAutomata and substitutions

Mathematics Subject Classification ID

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) Critical phenomena in equilibrium statistical mechanics (82B27) Automata sequences (11B85)

Related Items (17)

Finite current stationary states of random walks on one-dimensional lattices with aperiodic disorder ⋮ Quantum Fisher information for periodic and quasiperiodic anisotropic \(XY\) chains in a transverse field ⋮ Scaling laws for weakly disordered 1D flat bands ⋮ Nonperiodic Ising quantum chains and conformal invariance ⋮ Fluctuations of the product of random matrices and generalized Lyapunov exponent ⋮ Critical behaviour of the quasi-periodic quantum Ising chain ⋮ Continuum limit of random matrix products in statistical mechanics of disordered systems ⋮ LEE-YANG ZEROS AND QUANTUM PHASE TRANSITIONS OF NONUNIFORM ANISOTROPIC CHAINS IN A TRANSVERSE FIELD ⋮ The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity ⋮ Nonequilibrium quench dynamics of hard-core bosons in quasiperiodic lattices ⋮ Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case ⋮ Critical behavior of a class of noncommutative aperiodic models on hierarchical lattices ⋮ Thermodynamic properties of the XX model in a chain with a period two and three coupling ⋮ On the correlation dimension of the spectral measure for the Thue-Morse sequence ⋮ Some spectral properties of the one-dimensional disordered Dirac equation. ⋮ Partition function zeros for aperiodic systems. ⋮ Critical behavior of spin and polymer models with aperiodic interactions

Cites Work

• Universality class of a Fibonacci Ising model.
• Scaling properties of a structure intermediate between quasiperiodic and random.
• Two soluble models of an antiferromagnetic chain
• Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures
• GAP LABELLING THEOREMS FOR ONE DIMENSIONAL DISCRETE SCHRÖDINGER OPERATORS
• The Dynamics of a Disordered Linear Chain
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
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