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Regensburg 2022 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 16: Correlated Electrons: Method Development

TT 16.6: Talk

Wednesday, September 7, 2022, 11:00–11:15, H10

Exotic phases in long-range interacting quantum latticesAndreas A. Buchheit1, •Torsten Keßler1, Peter K. Schuhmacher2, and Benedikt Fauseweh21Saarland University, Saarbrücken, Germany — 2German Aerospace Center (DLR), Cologne, Germany

We provide a rigorous analysis of the effects of power-law long-range interactions on the phase diagram of a multi-dimensional quantum spin lattice. Starting from the discrete Hamiltonian, we use the recently developed singular Euler-Maclaurin expansion and derive an exact and parameter-free field theory that fully captures the effects due to the inherent discreteness of the lattice. For any lattice and any system dimension, we derive analytic expressions for the phase boundaries to ferromagnetic and anti-ferromagnetic phases and outline their dependence on the exponent of the power-law interaction and of the system dimension.

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