Dresden 2020 – wissenschaftliches Programm
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TT 5.12: Vortrag
Montag, 16. März 2020, 12:30–12:45, HSZ 304
Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders — •Jan Koziol, Sebastian Fey, Sebastian C. Kapfer, and Kai P. Schmidt — Lehrstuhl für Theoretische Physik I, Staudtstraße 7, Universitaet Erlangen-Nuernberg, 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 perturbative approaches including low- and high-field series expansions, as well as quantum Monte-Carlo stochastic series expansion simulations. For the classical long-range Ising model, we investigate cylinders with an arbitrary even circumference. We show the occurrence of gapped stripe-ordered phases emerging out of the infinitely degenerate nearest-neighbor Ising ground-state space on the two-dimensional triangular lattice. For the full long-range transverse-field Ising model, we concentrate on cylinders with circumference four and six. The ground-state phase diagram consists of several quantum phases in both cases including an x-polarized phase, stripe-ordered phases, and clock-ordered phases which emerge from an order-by-disorder scenario already present in the nearest-neighbor model. In addition, the generic presence of a potential intermediate gapless phase with algebraic correlations and associated Kosterlitz-Thouless transitions is discussed for both cylinders.