Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice ${J}_{1}\ensuremath{-}{J}_{2}\ensuremath{-}{J}_{d}$-Heisenberg model

Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice $J_{1} - J_{2} - J_{d}$ -Heisenberg model

B. Bernu, C. Lhuillier, E. Kermarrec, F. Bert, P. Mendels, R. H. Colman, and A. S. Wills

Phys. Rev. B 87, 155107 – Published 3 April 2013

Abstract

We present a method to build magnetic models of insulators based on high-temperature expansions by fitting both the magnetic susceptibility and the low-temperature specific heat data. It is applied to the frustrated magnet kapellasite [Cu $_{3}$ Zn(OH) $_{6}$ Cl $_{2}$ ] with the $J_{1} - J_{2} - J_{d}$ -Heisenberg model on the kagome lattice. Experimental data are reproduced with a set of competing exchange energies centered at $J_{1} = - 12, J_{2} = - 4$ , and $J_{d} = 15.6 K$ , where $J_{d}$ is the third-neighbor exchange energy across the hexagon. Strong constraints between these exchange energies are established. These values confirm the results of Fåk et al. [Phys. Rev. Lett. 109, 037208 (2012)] regarding the location of kapellasite in the cuboc2 phase of the Heisenberg model. The quality and limits of this modeling are discussed.

Received 10 October 2012

DOI:https://doi.org/10.1103/PhysRevB.87.155107

Authors & Affiliations

B. Bernu¹, C. Lhuillier¹, E. Kermarrec², F. Bert², P. Mendels^2,3, R. H. Colman⁴, and A. S. Wills⁴

¹LPTMC, UMR 7600 of CNRS, Université Pierre et Marie Curie, Paris VI, F-75252 Paris Cedex 05, France
²Laboratoire de Physique des Solides, Université Paris Sud 11, UMR CNRS 8502, F-91405 Orsay, France
³Institut Universitaire de France, 103 Boulevard Saint-Michel, F-75005 Paris, France
⁴University College London, Department of Chemistry, 20 Gordon Street, London, WC1H 0AJ, United Kingdom

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 87, Iss. 15 — 15 April 2013

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review B

covering condensed matter and materials physics

Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice $J_{1} - J_{2} - J_{d}$ -Heisenberg model

B. Bernu, C. Lhuillier, E. Kermarrec, F. Bert, P. Mendels, R. H. Colman, and A. S. Wills

Phys. Rev. B 87, 155107 – Published 3 April 2013

Abstract

Authors & Affiliations

Article Text (Subscription Required)

Supplemental Material (Subscription Required)

References (Subscription Required)

Issue

Access Options

Physical Review B

covering condensed matter and materials physics

Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice J1−J2−Jd-Heisenberg model

B. Bernu, C. Lhuillier, E. Kermarrec, F. Bert, P. Mendels, R. H. Colman, and A. S. Wills

Phys. Rev. B 87, 155107 – Published 3 April 2013

Abstract

Authors & Affiliations

Article Text (Subscription Required)

Supplemental Material (Subscription Required)

References (Subscription Required)

Issue

Access Options

Authorization Required

Other Options

Download & Share

Images

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Log In

Search

Article Lookup

Paste a citation or DOI

Enter a citation

Exchange energies of kapellasite from high-temperature series analysis of the kagome lattice $J_{1} - J_{2} - J_{d}$ -Heisenberg model