Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations
Hering DB, Walther M, Schmidt KP, Uhrig GS (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 110
Article Number: 085115
Journal Issue: 8
DOI: 10.1103/PhysRevB.110.085115
Abstract
We apply continuous similarity transformations (CSTs) to study the zero-temperature breakdown of long-range ordered quantum antiferromagnets. The CST flow equations are truncated in momentum space by the scaling dimension so that all operators with scaling dimension up to two are taken into account. We determine the quantum phase transition out of the Néel-ordered phase in the unfrustrated square lattice Heisenberg bilayer as well as the quantum melting of the Néel-ordered and columnar phase in the highly frustrated J1-J2 model on the square lattice. In all cases the CST is set up to isolate the ground state so that the stability of the flow equations, the ground-state energy, and the sublattice magnetization are used to explore the long-range ordered phases. We extract quantum critical points, which agree well with values in the literature. Further, we estimate the associated critical exponents α and β, which turns out to be a challenging task for the CST approach.
Authors with CRIS profile
Matthias Walther
Lehrstuhl für Theoretische Physik
Kai Phillip Schmidt
Professur für Theoretische Physik
Involved external institutions
Germany (DE)How to cite
APA:
Hering, D.B., Walther, M., Schmidt, K.P., & Uhrig, G.S. (2024). Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations. Physical Review B, 110(8). https://doi.org/10.1103/PhysRevB.110.085115
MLA:
Hering, Dag Björn, et al. "Quantum melting of long-range ordered quantum antiferromagnets investigated by momentum-space continuous similarity transformations." Physical Review B 110.8 (2024).
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