Raman signature of the U(1) Dirac spin-liquid state in spin-1/2 kagome system

Details Raman signature of the U(1) Dirac spin-liquid state in spin-1/2 kagome system Raman signature of the U(1) Dirac spin-liquid state in spin-1/2 kagome system

2009-10-28

arxiv.org/abs/0910.5468v3

Phys. Rev. B 81, 024414 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 19 figures; Minor revisions, updated to be consistent with the published version

Scientific paper

10.1103/PhysRevB.81.024414

We followed the Shastry--Shraiman formulation of Raman scattering in Hubbard systems and considered the Raman intensity profile in the spin-1/2 "perfect" kagome lattice herbertsmithite ZnCu_3(OH)_6Cl_2, assuming the ground state is well-described by the U(1) Dirac spin-liquid state. In the derivation of the Raman T-matrix, we found that the spin chirality term appears in the A_{2g} channel in the kagome lattice at the t^4/(\omega_i-U)^3 order, but (contrary to the claims by Shastry and Shraiman) vanishes in the square lattice to that order. In the ensuing calculations on the spin-1/2 kagome lattice, we found that the Raman intensity profile in the E_g channel is invariant under an arbitrary rotation in the kagome plane, and that in all (A_{1g}, E_g, and A_{2g}) symmetry channels the Raman intensity profile contains broad continua that display power-law behaviors at low energy, with exponent approximately equal to 1 in the A_{2g} channel and exponent approximately equal to 3 in the E_g and the A_{1g} channels. For the A_{2g} channel, the Raman profile also contains a characteristic 1/\omega singularity, which arose in our model from an excitation of the emergent U(1) gauge field.

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