Driven Harper model

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 5, 2012, Pages

  Kolovsky, Andrey R ^a,b   Mantica, Giorgio ^c,d,e  

^a KIRENSKY INSTITUTE OF PHYSICS   (Russian Federation)

^b SIBERIAN FEDERAL UNIVERSITY   (Russian Federation)

^c UNIVERSITY OF INSUBRIA   (Italy)

^d CNISM UdR Como   (Italy)

^e INFN SEZIONE DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84865654177     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.054306     Document Type: Article

References (16)

1. P. G. Harper, Proc. Phys. Soc. A PPSAAM 0370-1298 10.1088/0370-1298/68/ 10/304 68, 874 (1955).
2. D. R. Hofstadter, Phys. Rev. B 1098-0121 10.1103/PhysRevB.14.2239 14, 2239 (1976).
3. S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1980).
4. G. Roati, C. D' Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature (London) NATUAS 0028-0836 10.1038/nature07071 453, 891 (2008).
5. A. R. Kolovsky and G. Mantica, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.041123 83, 041123 (2011).
6. A. R. Kolovsky, I. Chesnokov, and G. Mantica, arXiv: 1205.0862.
7. A. R. Kolovsky, Front. Phys. 2095-0462 10.1007/s11467-011-0202-3 7, 3 (2012).
8. T. Nakanishi, T. Ohtsuki, and M. Saitoh, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.64.2092 64, 2092 (1995).
9. In the original physical problem ω is proportional to the magnitude of the electric field, while Ω is the cyclotron frequency, proportional to the magnetic field magnitude.
10. L. Hufnagel, R. Ketzmerick, M.-F. Otto, and H. Schanz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.154101 89, 154101 (2002).
11. A. Bäcker, R. Ketzmerick, and A. G. Monastra, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.054102 94, 054102 (2005);
12. A. Bäcker, R. Ketzmerick, and A. G. Monastra, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.066204 75, 066204 (2007).
13. Numerical studies of the tunneling rate indicate the presence of a resonance-like structure above the overall exponential dependence. This effect requires further studies.
14. G. Casati, B. V. Chirikov, F. M. Izrailev, and J. Ford, in, Stochastic Behavior in Classical and Quantum Hamiltonian Systems, edited by, G. Casati, and, J. Ford, Lecture Notes in Physics, Vol. 90 (Springer, Berlin, 1979), p. 334.
15. G. Casati and I. Guarneri, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01215758 95, 121 (1984).
16. A. R. Kolovsky, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/ 50002 96, 50002 (2011).