Possible energy spectra of systems constructed from finite Bethe lattices

DOI10.1016/j.physa.2019.121396OpenAlexW2945378563MaRDI QIDQ2161792

Chu Rainer Kwang-Hua

Publication date: 5 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121396

zbMATH Keywords

energydendrimer structurenon-terminal vertexPlatonic tessellations

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• On dynamical systems and phase transitions for \(q + 1\)-state \(p\)-adic Potts model on the Cayley tree
• Exactly solvable reaction diffusion models on a Cayley tree
• A characteristic polynomial
• Measures of structural damage for global failure analysis
• Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar tree-strips
• The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation
• The Canophy graph and level statistics for random operators on trees
• The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an \(n\times n\) matrix
• On Pure Phases of the Ising Model on the Bethe Lattices
• Percolation Hamiltonians
• Statistical theory of superlattices

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