Thermodynamic Properties of Kagome Lattice in ZnCu_3(OH)_6Cl_2 Herbertsmithite

Physics – Condensed Matter – Strongly Correlated Electrons

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4 pages, 6 figures

Scientific paper

Strongly correlated Fermi systems are among the most intriguing and fundamental systems in physics, whose realization in some compounds is still to be discovered. We show that herbertsmithite ZnCu_3(OH)_6Cl_2 can be viewed as a strongly correlated Fermi system whose low temperature thermodynamic in magnetic fields is defined by a quantum critical spin liquid. Our calculations of its thermodynamic properties are in good agreement with recent experimental facts and allow us to reveal their scaling behavior which strongly resembles that observed in HF metals and 2D 3He.

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George Japaridze

A search for the materials formed with fermionic spinons carrying spin 1/2 and no charge is a challenge for the condensed matter physics. A quantum spin liquid (QSL) can be viewed as an exotic quantum state of matter composed of hypothetic particles like chargeless fermionic spinons with spin 1/2. The experimental investigation of QSLs is hindered by a lack of real solids where it can occur. Recently, the neutron scattering studies of single-crystal samples of the spin-1/2 kagome-lattice antiferromagnet ZnCu3(OD)6Cl2 (also called Herbertsmithite) provide striking experimental evidence for spin liquid realization (Tian-Heng Han, Joel S. Helton, Shaoyan Chu, Daniel G. Nocera, Jose A. Rodriguez-Rivera, Collin Broholm & Young S. Lee, Nature 492, 406–410 (20 December 2012). Such situation is exactly the case that the Herbertsmithite spin system forms QSL composed of chargeless fermions with S=1/2 occupying the corresponding Fermi sphere with the Fermi momentum pF. As a result, we face a breathtaking picture described in the paper: new particles, spinons, govern the system properties at low temperatures and these are different from the particles presented in the initial Hamiltonian describing the system. Thus, a new detailed quantitative theory, describing the spin liquid occurrence and its thermodynamic properties in herbertsmithite, is presented in this paper.

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