journal article·2006-02-21

Quantum dynamical properties of quasicrystals

D. Damanik

Philosophical Magazine· Volume 86· Issue 6-8
Publisher page

Abstract

Abstract We discuss the dynamics of a quantum particle in quasi-crystalline environments. Detailed results are presented for the particular case of the Fibonacci sequence. This example exhibits anomalous transport at sufficiently large coupling.
Only a short abstract or summary was supplied by the source.
Source: openalex_inverted_index · Quality: short

Research context

OpenAlex topics: Quasicrystal Structures and Properties · Advanced Mathematical Theories and Applications · X-ray Diffraction in Crystallography

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (21)

Show source-provided references
1. Reed M · 1980
2. Abe S · Phys. Rev. A · 1987 · 36 · 534910.1103/PhysRevA.36.5349 ↗
3. Hiramoto H · J. Phys. Soc. Jpn. · 1988 · 57 · 23010.1143/JPSJ.57.230 ↗
4. Damanik D · Commun. Math. Phys. · 2003 · 236 · 51310.1007/s00220-003-0824-6 ↗
5. Damanik D · Commun. Math. Phys. · 1998 · 192 · 16910.1007/s002200050295 ↗
6. Damanik D · Commun. Math. Phys. · 2000 · 212 · 19110.1007/s002200000203 ↗
7. Jitomirskaya S · Commun. Math. Phys. · 2000 · 211 · 64310.1007/s002200050830 ↗
8. Killip R · Amer. J. Math. · 2003 · 125 · 116510.1353/ajm.2003.0031 ↗
9. Dunlap DH · Phys. Rev. Lett. · 1990 · 65 · 8810.1103/PhysRevLett.65.88 ↗
10. Ryu CS · Phys. Rev. B · 1994 · 49 · 1499110.1103/PhysRevB.49.14991 ↗
11. Severin M · J. Phys.: Condens. Matter · 1989 · 1 · 885110.1088/0953-8984/1/45/010 ↗
12. Tao RB · J. Phys. A · 1994 · 27 · 506910.1088/0305-4470/27/15/008 ↗
13. Kotani S · Rev. Math. Phys. · 1989 · 1 · 12910.1142/S0129055X89000067 ↗
14. Bovier A · J. Phys. A · 1995 · 28 · 231310.1088/0305-4470/28/8/022 ↗
15. Damanik D · J. Funct. Anal. · 2004 · 216 · 36210.1016/j.jfa.2004.05.007 ↗
16. Reed M · 1979
17. Combes J-M · Commun. Math. Phys. · 1973 · 34 · 25110.1007/BF01646473 ↗
18. Casdagli M · Commun. Math. Phys. · 1986 · 107 · 29510.1007/BF01209396 ↗
19. Kohmoto M · Phys. Rev. Lett. · 1983 · 50 · 187010.1103/PhysRevLett.50.1870 ↗
20. Ostlund S · Phys. Rev. Lett. · 1983 · 50 · 187310.1103/PhysRevLett.50.1873 ↗
21. Sütö A · Commun. Math. Phys. · 1987 · 111 · 40910.1007/BF01238906 ↗