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DOE OSTI · 2903514

Squeezing quantum states in three-dimensional twisted crystals

Phong, Võ Tiến [Florida State University, Tallahassee, FL (United States); National High Magnetic Field Laboratory, Tallahassee, FL (United States)]·Kunkelmann, Kason [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0009000445002787)·De Beule, Christophe [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000262147150)·Al Ezzi, Mohammed M. [National University of Singapore (Singapore)] (ORCID:000900018016726X)·Slager, Robert-Jan [Cavendish Laboratory, Cambridge (United Kingdom)] (ORCID:0000000190555218)·Adam, Shaffique [Washington University in St. Louis, MO (United States); University of Pennsylvania, Philadelphia, PA (United States); National University of Singapore (Singapore)] (ORCID:0000000230959920)·Mele, E. J. [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000171405353)
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Abstract

Bloch's theorem provides a conventional starting point for describing wave propagation in periodic media, but in ordered materials where competing spatial periods coexist it is rendered ineffective, often with dramatic consequences. Here we develop an alternate approach that uses coherent free-particle vortex states to study quantum states in supertwisted crystals: three-dimensional stacks of atomically thin two-dimensional layers. Here, this formalism leads naturally to the representation of the spectrum using squeezed coherent states, and it reveals the crucial role of a Coriolis coupling in the equations of motion. This identifies an underlying noncommutative geometry and novel edge state structure in a family of complex ordered structures.

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36 MATERIALS SCIENCE77 NANOSCIENCE AND NANOTECHNOLOGYEdge statesLandau levelsTopological Phases of MatterTwistronics

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Phong, Võ Tiến [Florida State University, Tallahassee, FL (United States); National High Magnetic Field Laboratory, Tallahassee, FL (United States)], Kunkelmann, Kason [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0009000445002787), De Beule, Christophe [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000262147150), Al Ezzi, Mohammed M. [National University of Singapore (Singapore)] (ORCID:000900018016726X), Slager, Robert-Jan [Cavendish Laboratory, Cambridge (United Kingdom)] (ORCID:0000000190555218), Adam, Shaffique [Washington University in St. Louis, MO (United States); University of Pennsylvania, Philadelphia, PA (United States); National University of Singapore (Singapore)] (ORCID:0000000230959920), Mele, E. J. [University of Pennsylvania, Philadelphia, PA (United States)] (ORCID:0000000171405353). 2025-06-25. Squeezing quantum states in three-dimensional twisted crystals. https://doi.org/10.1103/cj2q-f9q2

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