Microwave Realization of the Hofstadter Butterfly
作者： U. Kuhl , H.-J. Stöckmann
DOI: 10.1103/PHYSREVLETT.80.3232
关键词: Microwave 、 Condensed matter physics 、 Spectral line 、 Magnetic field 、 Transfer matrix 、 Butterfly 、 Electron 、 Physics 、 Thermal conduction 、 Scattering
摘要: The transmission of microwaves through an array 100 scatterers inserted into a waveguide is studied. length each scatterer could be varied individually, thus allowing the realization arbitrary scattering arrangements. For periodic sequences with varying period found bands reproduced Hofstadter butterfly, originally predicted for spectra conduction electrons in strong magnetic fields. In experiment it was used that same transfer matrix formalism applicable to both microwave and electronic systems.
harvard.edu
sci-hub.se 参考文章(12)
Douglas R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields Physical Review B. ,vol. 14, pp. 2239- 2249 ,(1976) , 10.1103/PHYSREVB.14.2239
T. Geisel, R. Ketzmerick, G. Petschel, New class of level statistics in quantum systems with unbounded diffusion. Physical Review Letters. ,vol. 66, pp. 1651- 1654 ,(1991) , 10.1103/PHYSREVLETT.66.1651
T Schlösser, K Ensslin, J. P Kotthaus, M Holland, Internal structure of a Landau band induced by a lateral superlattice: a glimpse of Hofstadter's butterfly EPL. ,vol. 33, pp. 683- 688 ,(1996) , 10.1209/EPL/I1996-00399-6
Rolf R. Gerhardts, Dieter Weiss, Ulrich Wulf, Magnetoresistance oscillations in a grid potential: Indication of a Hofstadter-type energy spectrum Physical Review B. ,vol. 43, pp. 5192- 5195 ,(1991) , 10.1103/PHYSREVB.43.5192
I. N Harris, H. D. M Davies, J. F Ryan, A. J Turberfield, C. T Foxon, J. J Harris, Electron Diffraction from a 2D Electron Wigner Crystal EPL. ,vol. 29, pp. 333- 338 ,(1995) , 10.1209/0295-5075/29/4/011
Photonic band gaps and localization Plenum Press. ,(1993) , 10.1007/978-1-4899-1606-8
E. Yablonovitch, T. J. Gmitter, Photonic band structure: The face-centered-cubic case. Physical Review Letters. ,vol. 63, pp. 1950- 1953 ,(1989) , 10.1103/PHYSREVLETT.63.1950
S. McCall, P. Platzman, R. Dalichaouch, David Smith, S. Schultz, Microwave propagation in two-dimensional dielectric lattices. Physical Review Letters. ,vol. 67, pp. 2017- 2020 ,(1991) , 10.1103/PHYSREVLETT.67.2017
Joachim Krug, Optical analog of a kicked quantum oscillator. Physical Review Letters. ,vol. 59, pp. 2133- 2136 ,(1987) , 10.1103/PHYSREVLETT.59.2133
R. E. Prange, Shmuel Fishman, Experimental realizations of kicked quantum chaotic systems Physical Review Letters. ,vol. 63, pp. 704- 707 ,(1989) , 10.1103/PHYSREVLETT.63.704