scholarly journals Instanton calculus of Lifshitz tails

2016 ◽  
Vol 93 (7) ◽  
Author(s):  
Sho Yaida
Keyword(s):  
Lifshitz Tails

scholarly journals Lifshitz Tails on the Bethe Lattice: A Combinatorial Approach

2011 ◽  
Vol 145 (1) ◽  
pp. 51-92 ◽  
Author(s):  
Victor Bapst ◽  
Guilhem Semerjian
Keyword(s):  
Bethe Lattice ◽  
Combinatorial Approach ◽  
Lifshitz Tails

scholarly journals Existence, uniqueness and anisotropic-decay-caused Lifshitz tails of the integrated density of surface states for random surface models

2014 ◽  
Vol 22 (4) ◽  
Author(s):  
Zhongwei Shen
Keyword(s):  
Existence And Uniqueness ◽  
Surface States ◽  
Random Surface ◽  
Lifshitz Tails ◽  
Impurity Potential ◽  
Quantum Regime ◽  
Alloy Type ◽  
Counting Functions ◽  
Surface Models ◽  
Classical Quantum

AbstractThe current paper is devoted to the study of existence, uniqueness and Lifshitz tails of the integrated density of surface states (IDSS) for Schrödinger operators with alloy type random surface potentials. We prove the existence and uniqueness of the IDSS for negative energies, which is defined as the thermodynamic limit of the normalized eigenvalue counting functions of localized operators on strips with sections being special cuboids. Under the additional assumption that the single-site impurity potential decays anisotropically, we also prove that the IDSS for negative energies exhibits Lifshitz tails near the bottom of the almost sure spectrum in the following three regimes: the quantum regime, the quantum-classical/classical-quantum regime and the classical regime. We point out that the quantum-classical/classical-quantum regime is new for random surface models.

scholarly journals Lifshitz tails for a percolation model in the continuum

2014 ◽  
Vol 22 (2) ◽  
Author(s):  
Werner Kirsch ◽  
Hatem Najar
Keyword(s):  
Percolation Model ◽  
Lifshitz Tails ◽  
The Continuum

Abstract.In this work we study Lifshitz tails for Laplacians in a percolation model on

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