Geometric study of a 2D tiling related to the octagonal quasiperiodic tiling
J. Phys. France, 50 24 (1989) 3463-3476
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Similarity of eigenstates in generalized labyrinth tilings
Stefanie Thiem and Michael SchreiberJournal of Physics: Conference Series 226 012029 (2010)
DOI: 10.1088/1742-6596/226/1/012029
See this article
A REMARK ON THE TRACE-MAP FOR THE SILVER MEAN SEQUENCE
ILMAR GAHRAMANOV and ELMAR ASGEROVModern Physics Letters B 27 (15) 1350107 (2013)
DOI: 10.1142/S0217984913501078
See this article
Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian
David Damanik and Anton GorodetskiCommunications in Mathematical Physics 305 (1) 221 (2011)
DOI: 10.1007/s00220-011-1220-2
See this article
Electrons in Quasicrystals
Uwe GrimmIsrael Journal of Chemistry 51 (11-12) 1257 (2011)
DOI: 10.1002/ijch.201100143
See this article
Quasiperiodic Heisenberg antiferromagnets in two dimensions
A. JagannathanThe European Physical Journal B 85 (2) 68 (2012)
DOI: 10.1140/epjb/e2012-21003-x
See this article
Renormalization group approach for the wave packet dynamics in golden-mean and silver-mean labyrinth tilings
Stefanie Thiem and Michael SchreiberPhysical Review B 85 (22) (2012)
DOI: 10.1103/PhysRevB.85.224205
See this article
Quasiperiodic Bloch-Like States in a Surface-Wave Experiment
M. Torres, J. P. Adrados, J. L. Aragón, P. Cobo and S. TehuacaneroPhysical Review Letters 90 (11) 114501 (2003)
DOI: 10.1103/PhysRevLett.90.114501
See this article
From periodicity to quasiperiodicity Part II: Continuous periodic to quasiperiodic transition in superlattices
U.D. Kulkarni, S. Banerjee and S.D. KulkarniScripta Metallurgica et Materialia 25 (3) 533 (1991)
DOI: 10.1016/0956-716X(91)90086-G
See this article
Generalized inverse participation numbers in metallic-mean quasiperiodic systems
S. Thiem and M. SchreiberThe European Physical Journal B 83 (4) 415 (2011)
DOI: 10.1140/epjb/e2011-20323-7
See this article
From periodicity to quasiperiodicity Part I: Octagonal quasicrystals and the 45° twins of the β-Mn structure
U.D. Kulkarni, S. Banerjee and S. RanganathanScripta Metallurgica et Materialia 25 (3) 529 (1991)
DOI: 10.1016/0956-716X(91)90085-F
See this article
Electronic wave functions of quasiperiodic systems in momentum space
Sebastian Rolof, Stefanie Thiem and Michael SchreiberThe European Physical Journal B 86 (9) (2013)
DOI: 10.1140/epjb/e2013-40261-6
See this article
Energy spectra, wave functions, and quantum diffusion for quasiperiodic systems
H. Q. Yuan, U. Grimm, P. Repetowicz and M. SchreiberPhysical Review B 62 (23) 15569 (2000)
DOI: 10.1103/PhysRevB.62.15569
See this article
Invaded cluster algorithm for critical properties of periodic and aperiodic planar Ising models
Oliver Redner and Michael BaakeJournal of Physics A: Mathematical and General 33 (16) 3097 (2000)
DOI: 10.1088/0305-4470/33/16/304
See this article
Quantum and spectral properties of the Labyrinth model
Yuki TakahashiJournal of Mathematical Physics 57 (6) 063506 (2016)
DOI: 10.1063/1.4953379
See this article
Long-range magnetic order in models for rare-earth quasicrystals
Stefanie Thiem and J. T. ChalkerPhysical Review B 92 (22) (2015)
DOI: 10.1103/PhysRevB.92.224409
See this article
Displacive rational approximants of quasilattices
M. Torres, J.L. Aragón and G. PastorScripta Metallurgica et Materialia 25 (5) 1123 (1991)
DOI: 10.1016/0956-716X(91)90514-2
See this article
The Fibonacci Hamiltonian
David Damanik, Anton Gorodetski and William YessenInventiones mathematicae 206 (3) 629 (2016)
DOI: 10.1007/s00222-016-0660-x
See this article
Incommensurate grain boundary in silicon and the silver-ratio sequence
Frédéric Lançon, Nina Gunkelmann, Damien Caliste and Jean-Luc RouvièrePhysical Review B 100 (11) (2019)
DOI: 10.1103/PhysRevB.100.115307
See this article
Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian
David Damanik, Anton Gorodetski and Boris SolomyakDuke Mathematical Journal 164 (8) (2015)
DOI: 10.1215/00127094-3119739
See this article
Electronic stability of disordered systems: application to quasicrystals
C SireJournal of Physics A: Mathematical and General 24 (21) 5137 (1991)
DOI: 10.1088/0305-4470/24/21/024
See this article
Directional Scaling Symmetry of High-symmetry Two-dimensional Lattices
Longguang Liao and Zexian CaoScientific Reports 4 (1) 6193 (2015)
DOI: 10.1038/srep06193
See this article
Real Space Theory for Electron and Phonon Transport in Aperiodic Lattices via Renormalization
Vicenta Sánchez and Chumin WangSymmetry 12 (3) 430 (2020)
DOI: 10.3390/sym12030430
See this article