Article ID Journal Published Year Pages File Type
9727899 Physica A: Statistical Mechanics and its Applications 2005 17 Pages PDF
Abstract
We consider a one-dimensional hard rod liquid with an electronic structure of tight-binding type as a simple model for studying the density of states (DOS) in spatially disordered systems. For a finite number of rods, the DOS is exactly obtained by using a replica trick. Exact expressions in the thermodynamic limit for some particular cases are also given. The resulting DOSs are interpreted in terms of bonding and antibonding orbitals arising from s-type atomic orbitals.
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Physical Sciences and Engineering Mathematics Mathematical Physics
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