Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 23: Frustrated Magnets - General 1 (joint session TT/MA)

TT 23.11: Vortrag

Dienstag, 2. April 2019, 12:15–12:30, Theater

Ground states of the transverse-field long-range Ising model on infinite-cylinder triangular lattices — •Jan Koziol, Sebastian Fey, and Kai Phillip Schmidt — Lehrstuhl für Theoretische Physik I, Staudtstraße 7, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany

To gain a better understanding of the interplay between frustrated long-range interactions and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram of the transverse-field Ising model with algebraically-decaying long-range Ising interactions on quasi one-dimensional infinite-cylinder triangular lattices. Technically, we apply various approaches including low-field and high-field series expansions. For the classical long-range Ising model, we investigate cylindric triangular lattice configurations, i.e. a triangular lattice with an even finite length periodic boundary condition (4−40 lattice sites) in one direction and infinite extension in the other direction. We show the occurrence of new columnar-ordered phases differing from the infinitely degenerate nearest-neighbour Ising ground-state manifold on the two-dimensional triangular lattice. The existence of these columnar phases is connected to the long-range nature of the Ising interaction. For the full quantum model, we concentrate on cylinders with extensions four and six. The ground-state phase diagram consists of several quantum phases in both cases including a polarised phase, columnar-ordered phases, and ordered phases which emerge from an order by disorder scenario already present in the nearest-neighbour model.