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 lattices — Andreas A. Buchheit1, •Torsten Keßler1, Peter K. Schuhmacher2, and Benedikt Fauseweh2 — 1Saarland 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.