Quantum Criticality of Two-Dimensional Quantum Magnets with Long-Range Interactions

Fey S, Kapfer S, Schmidt KP (2019)

Publication Type: Journal article

Publication year: 2019


Book Volume: 122

Article Number: 017203

Journal Issue: 1

DOI: 10.1103/PhysRevLett.122.017203


We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved technically by combining perturbative continuous unitary transformations with classical Monte Carlo simulations to extract high-order series for the one-particle excitations in the high-field quantum paramagnet. We find that the unfrustrated systems change from mean-field to nearest-neighbor universality with continuously varying critical exponents. In the frustrated case on the square lattice the system remains in the universality class of the nearest-neighbor model independent of the long-range nature of the interaction, while we argue that the quantum criticality for the triangular lattice is terminated by a first-order phase transition line.

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Fey, S., Kapfer, S., & Schmidt, K.P. (2019). Quantum Criticality of Two-Dimensional Quantum Magnets with Long-Range Interactions. Physical Review Letters, 122(1). https://dx.doi.org/10.1103/PhysRevLett.122.017203


Fey, Sebastian, Sebastian Kapfer, and Kai Phillip Schmidt. "Quantum Criticality of Two-Dimensional Quantum Magnets with Long-Range Interactions." Physical Review Letters 122.1 (2019).

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