Cornell University

Hosted by Eun-ah Kim

Title:  ‌Electrons Bloch-waltzing in Moiré Superlattices: an old conundrum and a new hope

Abstract: 

A striking prediction of the quantum theory of solids is that Bloch electrons in the presence of a constant electric field oscillate at a frequency tunable by the field and taking identical values for all carriers in the band. As a paradigmatic example of collective electron dynamics, Bloch oscillations received much attention, and yet, achieving this regime in solids proved to be challenging. This talk will discuss the new ideas and a new hope triggered by the advent of van der Waals heterostructures, in particular the flat bands in moiré graphene. There are several interesting not-yet-explored regimes that these systems harbor. One is synchronous oscillations of “enlightened” electrons coupled to “the big power in the sky” (the EM field of a proximal resonator) --- a collective many-body dynamics that holds promise for THz electronics. Another is magnetic Bloch oscillations achieved by combining constant electric and magnetic fields. The unique dynamical regimes arising in this case are described by the seminal Ashcroft-Mermin (AM) Hamiltonian. We will demonstrate that the AM dynamics is integrable and identify two distinct phases, electric and magnetic, exhibiting position-momentum duality --- the orbits extended in k space and confined in x space, and vice versa. The boundary between the electric and magnetic phases features an interesting and presently poorly understood chaotic dynamical phase. The two phases -- electric and magnetic -- are of keen interest both as examples of complex quantum dynamics arising in a simple setting and because of the relevance for THz research. 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