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X-WR-CALNAME:Laboratoire de physique des Solides
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DTSTART;TZID=Europe/Paris:20240404T110000
DTEND;TZID=Europe/Paris:20240404T120000
DTSTAMP:20240326T064800
UID:MEC-6f8caa0e6413027cb7a12f945151cb8d@lps.u-psud.fr
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SUMMARY:F.FLICKER:Constraints and Aperiodicity
DESCRIPTION:\nSome of the most important phenomena in physics arise when correlations emerge from local constraints. Examples include dimer models (tiling a chess board with dominoes) and 'magnetic monopole' excitations in crystals called spin ices. We outline results for a range of constrained models in a new setting: aperiodic tilings, with the symmetries of certain exotic materials called quasicrystals.\n\nOn the 'Ammann Beenker tiling' we prove the existence of Hamiltonian cycles (visiting each vertex precisely once), and thereby solve a range of related problems including the three-colouring problem and the travelling salesperson problem [1]. Potential applications include adsorption, scanning tunneling microscopy, and protein folding. On the recently discovered 'Spectre' aperiodic monotiling we provide an exact analytic solution to the interacting quantum dimer model [2]. The result features deconfined particle-like excitations at all interaction strengths, which is impossible in the periodic square and hexagonal tilings.\n\n[1] Shobhna Singh, Jerome Lloyd, and Felix Flicker, “Hamiltonian cycles on Ammann-Beenker Tilings”, arXiv:2302.01940 \n[2] Shobhna Singh and Felix Flicker, “Exact Solution to the Quantum and Classical Dimer Models on the Spectre Aperiodic Monotiling”, arXiv:2309.14447\n\n
URL:https://www.lps.u-psud.fr/en/events/f-flickerconstraints-and-aperiodicity/
CATEGORIES:Condensed Matter Theory Seminar
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