Effects of large disorder on the Hofstadter butterfly

Neutron powder diffraction has been carried out on a congruent LiNbO 3 sample containing 7 Li isotope ( C 7 LN ) and a near stoichiometric Mg doped LiNbO 3 sample ( Mg : NSLN ) in the temperature range of 4 K and 90 K. Large anisotropic displacement parameters (ADPs) of the Li ions have shown evidence of large disorder along the c-axis for both samples. The results have shown no evidence for the existence of anomalous structural behavior for both samples at low temperatures, although abnormal structural features at 55 K and 100 K for a LiNbO 3 crystal having different Li content as the samples used in the present studies have been observed by Fernandez-Ruiz et al. [Phys. Rev. B72 (2005) 184108].

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SUPERCONDUCTING NETWORK WITH MAGNETIC DECORATION — HOFSTADTER BUTTERFLY IN SPATIALLY MODULATED MAGNETIC FIELD

Realizing Controllable Quantum States ◽

10.1142/9789812701619_0031 ◽

2005 ◽

Author(s):

Y. IYE ◽

E. KURAMOCHI ◽

M. HARA ◽

A. ENDO ◽

S. KATSUMOTO

Keyword(s):

Magnetic Field ◽

Hofstadter Butterfly

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Topological map of the Hofstadter butterfly: Fine structure of Chern numbers and Van Hove singularities

Physics Letters A ◽

10.1016/j.physleta.2016.03.022 ◽

2016 ◽

Vol 380 (20) ◽

pp. 1772-1780 ◽

Cited By ~ 12

Author(s):

Gerardo G. Naumis

Keyword(s):

Fine Structure ◽

Topological Map ◽

Van Hove Singularities ◽

Chern Numbers ◽

Hofstadter Butterfly

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A COMPARISON OF HARMONIC CONFINEMENT AND DISORDER IN INDUCING LOCALIZATION EFFECTS IN A SUPERCONDUCTOR

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194512006010 ◽

2012 ◽

Vol 11 ◽

pp. 127-132

Author(s):

POULUMI DEY ◽

AYAN KHAN ◽

SAURABH BASU ◽

B. TANATAR

Keyword(s):

Comparative Study ◽

Trap Depth ◽

Disorder Strength ◽

Confinement Effects ◽

S Wave ◽

Harmonic Confinement ◽

Random Disorder ◽

Large Disorder

We present a comparative study of the localization effects induced by harmonic trapping and random onsite disorder in a 2D s-wave superconductor. Performing a numeric computation of the Bogoliubov-de Gennes equations in the presence of parabolic trap and random disorder, we obtain the eigensolutions as a function of trap depth and disorder strength. While the wavefunctions demonstrate localization tendencies for moderate disorder strengths, with finally yielding an insulating behavior at large disorder, the harmonic confinement effects are seen to be vastly more drastic in inducing localization effects.

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