Magnetic Fingerprints of Fractal Spectra
نویسنده
چکیده
We study the T = 0 magnetization of the Hofstadter model. Near a rational flux the magnetization as a function of the chemical potential has the structure of a sequence of lines with quantized slopes, connected by lip-shaped regions. The lips admit a semiclassical description. This structure appears on all scales for irrational fluxes that are well approximated by rationals infinitely often.
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