upward

Spectra

General

Burioni R, Cassi D, Regina S, Cutting-decimation renormalization for diffusive and vibrational dynamics on fractals, PA 265, 323 (1999)

Bethe lattice

Mahan G D, Energy bands of the Bethe lattice, PRB 63, 155110 (2001)

Wang S Q, Ye H Q, An average cluster Bethe lattice method for electronic structure calculation, JPC 4, 6751 (1992)

Yndurain F, Barrio R, Elliott R J, Thorpe M F, Long-range correlations in Bethe lattices, PRB 28, 3576 (1983)

Joannopoulos J D, Yndurain F, "Cluster-Bethe-lattice" method: Electronic density of states of amorphous and crystalline homopolar solids, PRB 10, 5164 (1974)

Sierpinski lattice

L Rosa, K Sun, S Juodkazis, Sierpinski fractal plasmonic nanoantennas, PSSR 5, 175 (2011)

Lin Z, Cao Y, Liu Y, Electronic transport properties of Sierpinski lattices in a magnetic field, PRB 66, 045311 (2002)

Oshmyan V G, Patlazhan S A, Timan S A, Elastic properties of Sierpinski-like carpets: Finite-element-based simulation, PRE 64, 056108 (2001)

Hambly B M, On the asymptotics of the eigenvalue counting function for random recursive Sierpinski gaskets, Probab Theory Related Fields 117, 221 (2000)

Li M, Liu Y, Zhang Z-Q, Photonic band structure of Sierpinski waveguide networks, PRB 61, 16193 (2000)

Liu Y, Hou Z, Hui P M, Sritrakool W, Electronic transport properties of Sierpinski lattices, PRB 60, 13444 (1999)

Kimball J C, States on the Sierpinski Triangle, Found Phys 28, 87 (1998)

Chakrabarti A, Bhattacharyya B, Sierpinski gasket in a magnetic field: Electron states and transmission characteristics, PRB 56, 13768 (1997)

Katomeris G N, Evangelouy S N, Level statistics for electronic states in a disordered fractal, JPA 29, 2379 (1996)

Rammal R, Nature of eigenstates on fractal structures, PRB 28, 4871 (1983)

Other lattices

Domany E, Alexander S, Bensimon D, Kadanoff L P, Solutions to the Schrodinger equation on some fractal lattices, PRB 28, 3110 (1983)