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

Journal article

Publication Details

Author(s): Fey S, Kapfer S, Schmidt KP
Journal: Physical Review Letters
Publication year: 2019
Volume: 122
Journal issue: 1
ISSN: 0031-9007
eISSN: 1079-7114


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.

FAU Authors / FAU Editors

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

How to cite

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).


Last updated on 2019-14-05 at 13:08