Koziol J, Fey S, Kapfer S, Schmidt KP (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 100
Journal Issue: 14
DOI: 10.1103/PhysRevB.100.144411
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- and high-field series expansions. 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. Further, while cylinders with circumferences 6, 10, 14, etc., are always in the same stripe phase for any decay exponent of the long-range Ising interaction, the family of cylinders with circumferences 4, 8, 12, etc., displays a phase transition between two different types of stripe structures. 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.
APA:
Koziol, J., Fey, S., Kapfer, S., & Schmidt, K.P. (2019). Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders. Physical Review B, 100(14). https://dx.doi.org/10.1103/PhysRevB.100.144411
MLA:
Koziol, Jan, et al. "Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders." Physical Review B 100.14 (2019).
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