Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model

By Yin-Chen He, M. Zaletel, M. Oshikawa, Frank Pollmann. 2016

255 citations recorded by the source corpus.

The antiferromagnetic spin-$1/2$ Heisenberg model on a kagome lattice is one of the most paradigmatic models in the context of spin liquids, yet the precise nature of its ground state is not understood. We use large scale density matrix normalization group simulations (DMRG) on infinitely long cylinders and find indications for the formation of a gapless Dirac spin liquid. First, we use adiabatic flux insertion to demonstrate that the spin gap is much smaller than estimated from previous DMRG simulation. Second, we find that the momentum dependent excitation spectrum, as extracted from the DMRG transfer matrix, exhibits Dirac cones that match those of a $\pi$-flux free fermion model (the parton mean-field ansatz of a $U(1)$ Dirac spin liquid)

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/7be668954617c7cc23e672e4e2fa28b67aa54afb

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu3(OH)6Cl2 (2019, methodology): “[32] He, Y-C.”
The Hubbard Model (2021, methodology): “, whether it has a spin gap (134) or a gapless Dirac spinon spectrum (136).”