upward

Spectra

Veselic I, Integrated density of states and Wegner estimates for random Schrodinger operators, Contemp Math 340, 97 (2004)

Dean P, The vibrational properties of disordered systems: Numerical studies, RMP 44, 127 (1972)

Bell R J, The dynamics of disordered lattices, RPP 35, 1315 (1972)

Hori J, Spectral properties of disordered chains and lattices (Pergamon Press, 1968) – QD945.H62

Models

RBM

R Zorn, Boson peak in confined disordered systems, PRB 81, 054208 (2010)

Taraskin S N, Elliott S R, Vector vibrations and the Ioffe-Regel crossover in disordered lattices, JPC 14, 3143 (2002)

Бакай А С, Крикун С В, Фатєєв М П, Критичний індекс для пружних модулів випадкової кубічної гратки, УФЖ 46, 83 (2001)

Kantelhardt J W, Russ S, Bunde A, Excess modes in the vibrational spectrum of disordered systems and the boson peak, PRB 63, 064302 (2001)

W Schirmacher, G Diezemann, C Ganter, Harmonic vibrational excitations in disordered solids and the "Boson Peak", PRL 81, 136 (1998)

TBM

Batt G M, Rowlands D A, Nonlocal spectral properties of disordered alloys, JPC 18, 11031 (2006)

Methods

EMA

Ghosh P, Leath P L, Cohen M H, Phonons in random alloys: The itinerant coherent-potential approximation, PRB 66, 214206 (2002)

Taylor D W, Vibrational properties of imperfect crystals with large defect concentrations, PR 156, 1017 (1967) – is usually credited for the invention of CPA

Soven P, Coherent-potential model of substitutional disordered alloys, PR 156, 809 (1967) – is usually credited for the invention of CPA

Perturbation theory

Lehmann D, Resummation of Feynman diagrams and the inversion of matrices, JPA 34, 281 (2001)

Winn M D, Logan D E, A soluble theory for the density of states of a spatially disordered system, JPC 1, 1753 (1989)

Logan D E, Winn M D, The density of states of a spatially disordered tight-binding model, JPC 21, 5773 (1988)

Leath P L, Self-consistent-field approximation in disordered alloys, PR 171, 725 (1968)

Leath P, Goodman B, Displacement correlations and frequency spectra for mass-disordered lattices, PR 148, 968 (1966)

Miscellaneous methods

Losev A, The convolution method for calculations of local densities of states, JPC 15, 1007 (2003)

Alam A, Mookerjee A, Vibrational properties of phonons in random binary alloys: An augmented space recursive technique in the k representation, PRB 69, 024205 (2004)