Berlin 2024 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 24: Quantum-Critical Phenomena
TT 24.9: Vortrag
Dienstag, 19. März 2024, 11:45–12:00, H 2053
Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain — •Anton Romen1,2, Stefan Birnkammer1,2, and Michael Knap1,2 — 1Technical University Munich (TUM), TUM School of Natural Sciences, Physics Department, 85748 Garching, Germany — 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany
Deconfined quantum criticality describes continuous phase transitions that are not captured by the Landau-Ginzburg paradigm. In our work, we investigate deconfined quantum critical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transition and connect them to an effective field theory obtained from bosonization techniques. We show that beyond stabilizing the valance bond order, the long-range interactions are irrelevant and the transition is well described by a double frequency sine-Gordon model. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.
Keywords: Heisenberg models; long-range interactions; Bosonization; Density matrix renormalization group