Nonperturbative linked-cluster expansions for the trimerized ground state of the spin-one kagome Heisenberg model

Ixert D, Tischler T, Schmidt KP (2015)

Publication Status: Published

Publication Type: Journal article

Publication year: 2015

Journal

Physical Review B American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 92

Journal Issue: 17

DOI: 10.1103/PhysRevB.92.174422

Abstract

We use nonperturbative linked-cluster expansions to determine the ground-state energy per site of the spin-one Heisenberg model on the kagome lattice. To this end, a parameter is introduced allowing us to interpolate between a fully trimerized state and the isotropic model. The ground-state energy per site of the full graph decomposition up to graphs of six triangles (18 spins) displays a complex behavior as a function of this parameter close to the isotropic model which we attribute to divergencies of partial series in the graph expansion of quasi-1D unfrustrated chain graphs. More concretely, these divergencies can be traced back to a quantum critical point of the one-dimensional unfrustrated chain of coupled triangles. Interestingly, the reorganization of the nonperturbative linked-cluster expansion in terms of clusters with enhanced symmetry yields a ground-state energy per site of the isotropic two-dimensional model that is in quantitative agreement with other numerical approaches in favor of a spontaneous trimerization of the system. Our findings are of general importance for any nonperturbative linked-cluster expansion on geometrically frustrated systems.

Authors with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE)

How to cite

APA:

Ixert, D., Tischler, T., & Schmidt, K.P. (2015). Nonperturbative linked-cluster expansions for the trimerized ground state of the spin-one kagome Heisenberg model. Physical Review B, 92(17). https://dx.doi.org/10.1103/PhysRevB.92.174422

MLA:

Ixert, Dominik, Tobias Tischler, and Kai Phillip Schmidt. "Nonperturbative linked-cluster expansions for the trimerized ground state of the spin-one kagome Heisenberg model." Physical Review B 92.17 (2015).

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