2011/02/28 by Ehsan Khatami, Joel S. Helton, Marcos Rigol · 19 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Antiferromagnetism #Boundary value problem #Condensed matter physics #Ferromagnetism #Geometry #Heisenberg model #Hexagonal lattice #Homogeneous space #Lattice (music) #Magnetic and transport properties of perovskites and related materials #Materials science #Mathematics #Periodic boundary conditions #Physics #Physics of Superconductivity and Magnetism #Pyrochlore #Quantum mechanics #Spins #Thermodynamic limit #Thermodynamics #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.85.064401
published in Physical Review B 85(6) (American Physical Society) · 7 pages, 7 figures
openalex publication_date 2012/02/01 · arxiv created 2012/02/02 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the thermodynamic properties of the clinoatacamite compound, Cu2(OH)3Cl, by considering several approximate models. They include the Heisenberg model on (i) the uniform pyrochlore lattice, (ii) a very anisotropic pyrochlore lattice, and (iii) a kagome lattice weakly coupled to spins that sit on a triangular lattice. We utilize the exact diagonalization of small clusters with periodic boundary conditions and implement a numerical linked-cluster expansion approach for quantum lattice models with reduced symmetries, which allows us to solve model (iii) in the thermodynamic limit. We find a very good agreement between the experimental uniform susceptibility and the numerical results for models (ii) and (iii), which suggests a weak ferromagnetic coupling between the kagome and triangular layers in clinoatacamite. We also study thermodynamic properties in a geometrical transition between a planar pyrochlore lattice and the kagome lattice.