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

Journal

Physical Review Letters American Physical Society

Book Volume: 122

Article Number: 017203

Journal Issue: 1

DOI: 10.1103/PhysRevLett.122.017203

Abstract

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.

Authors with CRIS profile

Sebastian Fey Chair for Theoretical Physics III (Quantum Gravity) Sebastian Kapfer Lehrstuhl für Theoretische Physik Kai Phillip Schmidt Professur für Theoretische Physik

How to cite

APA:

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://doi.org/10.1103/PhysRevLett.122.017203

MLA:

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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