Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions

Honecker A, Richter J, Schnack J, Wietek A (2020)
CONDENSED MATTER PHYSICS 23(4): 43712.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Honecker, A.; Richter, J.; Schnack, JürgenUniBi ; Wietek, A.
Abstract / Bemerkung
The high-field regime of the spin-s XXZ antiferromagnet on the kagome lattice gives rise to macroscopically degenerate ground states thanks to a completelyflat lowest single-magnon band. The corresponding excitations can be localized on loops in real space and have been coined "localized magnons". Thus, the description of the many-body ground states amounts to characterizing the allowed classical loop configurations and eliminating the quantum mechanical linear relations between them. Here, we investigate this loop-gas description on finite kagome lattices with open boundary conditions and compare the results with exact diagonalization for the spin-1/2 XY model on the same lattice. We find that the loop gas provides an exact account of the degenerate ground-state manifold while a hard-hexagon description misses contributions from nested loop configurations. The densest packing of the loops corresponds to a magnon crystal that according to the zero-temperature magnetization curve is a stable ground state of the spin-1/2 XY model in a window of magnetic fields of about 4% of the saturation field just below this saturation field. We also present numerical results for the specific heat obtained by the related methods of thermal pure quantum (TPQ) states and the finite-temperature Lanczos method (FTLM). For a field in the stability range of the magnon crystal, one finds a low-temperature maximum of the specific heat that corresponds to a finite-temperature phase transition into the magnon crystal at low temperatures.
Stichworte
frustrated magnetism; Kagome lattice; XY model; lattice gases; phase; transitions; exact diagonalization
Erscheinungsjahr
2020
Zeitschriftentitel
CONDENSED MATTER PHYSICS
Band
23
Ausgabe
4
Art.-Nr.
43712
ISSN
1607-324X
eISSN
2224-9079
Page URI
https://pub.uni-bielefeld.de/record/2950746

Zitieren

Honecker A, Richter J, Schnack J, Wietek A. Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions. CONDENSED MATTER PHYSICS. 2020;23(4): 43712.
Honecker, A., Richter, J., Schnack, J., & Wietek, A. (2020). Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions. CONDENSED MATTER PHYSICS, 23(4), 43712. doi:10.5488/CMP.23.43712
Honecker, A., Richter, J., Schnack, J., and Wietek, A. (2020). Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions. CONDENSED MATTER PHYSICS 23:43712.
Honecker, A., et al., 2020. Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions. CONDENSED MATTER PHYSICS, 23(4): 43712.
A. Honecker, et al., “Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions”, CONDENSED MATTER PHYSICS, vol. 23, 2020, : 43712.
Honecker, A., Richter, J., Schnack, J., Wietek, A.: Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions. CONDENSED MATTER PHYSICS. 23, : 43712 (2020).
Honecker, A., Richter, J., Schnack, Jürgen, and Wietek, A. “Loop-gas description of the localized-magnon states on the kagome lattice with open boundary conditions”. CONDENSED MATTER PHYSICS 23.4 (2020): 43712.

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Web of Science

Dieser Datensatz im Web of Science®

Suchen in

Google Scholar