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Kicked-Harper model versus on-resonance double-kicked rotor model: From spectral difference to topological equivalence

Kicked-Harper model versus on-resonance double-kicked rotor model: From spectral difference to topological equivalence

Recent studies have established that, in addition to the well-known kicked-Harper model (KHM), an on-resonance double-kicked rotor (ORDKR) model also has Hofstadter's butterfly Floquet spectrum, with strong resemblance to the standard Hofstadter spectrum that is a paradigm in studies of the integer quantum Hall effect. Earlier it was shown that …