Volume 133, Number 4, February 2021
|Number of page(s)||6|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||30 March 2021|
A continuous family of fully frustrated Heisenberg models on the Kagome lattice
Department of Physics, Renmin University of China - Beijing 100872, PRC
Received: 9 September 2020
Accepted: 19 January 2021
We find that the antiferromagnetic Heisenberg model on the Kagome lattice with nearest-neighboring exchange coupling (NN-KAFH) belongs to a continuous family of fully frustrated Heisenberg model on the Kagome lattice, which has no preferred classical ordering pattern. The model within this family consists of the first-, second- and the third-neighboring exchange coupling J1, J2, and J3, with . We find that when , the lowest band of , namely, the Fourier transform of the exchange coupling, is totally non-dispersive. Exact diagonalization calculation indicates that the ground state of the spin- NN-KAFH is locally stable under the perturbation of J2 and J3 when and only when . Interestingly, we find that the same flat band physics is also playing an important role in the RVB description of the spin liquid state on the Kagome lattice. In particular, we show that the extensively studied U(1) Dirac spin liquid state on the Kagome lattice can actually be generated from a continuous family of gauge inequivalent RVB mean-field ansatz, which host very different mean-field spinon dispersion.
PACS: 75.10.Jm – Quantized spin models, including quantum spin frustration / 75.10.-b – General theory and models of magnetic ordering / 75.10.Kt – Quantum spin liquids, valence bond phases and related phenomena
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