Linked-cluster expansions for quantum magnets on the hypercubic lattice

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autor(en): Coester K, Joshi DG, Vojta M, Schmidt KP
Zeitschrift: Physical Review B
Jahr der Veröffentlichung: 2016
Band: 94
Heftnummer: 12
ISSN: 2469-9950
Sprache: Englisch


For arbitrary space dimension d, we investigate the quantum phase transitions of two paradigmatic spin models defined on a hypercubic lattice, the coupled-dimer Heisenberg model and the transverse-field Ising model. To this end, high-order linked-cluster expansions for the ground-state energy and the one-particle gap are performed up to order 9 about the decoupled-dimer and high-field limits, respectively. Extrapolations of the high-order series yield the location of the quantum phase transition and the correlation-length exponent. as a function of space dimension d. The results are complemented by 1/d expansions to next-to-leading order of observables across the phase diagrams. Remarkably, our analysis of the extrapolated linked-cluster expansion allows to extract the coefficients of the full 1/d expansion for the phase-boundary location in both models exactly in leading order and quantitatively for subleading corrections.

FAU-Autoren / FAU-Herausgeber

Schmidt, Kai Phillip Prof. Dr.
Professur für Theoretische Physik

Autor(en) der externen Einrichtung(en)
Technische Universität Dortmund
Technische Universität Dresden


Coester, K., Joshi, D.G., Vojta, M., & Schmidt, K.P. (2016). Linked-cluster expansions for quantum magnets on the hypercubic lattice. Physical Review B, 94(12).

Coester, Kris, et al. "Linked-cluster expansions for quantum magnets on the hypercubic lattice." Physical Review B 94.12 (2016).


Zuletzt aktualisiert 2019-18-03 um 10:02