Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions

Abstract

We study the stability of the 2+1 dimensional U(1) spin liquid state against proliferation of instantons in the presence of spinon Fermi surface. By mapping the spinon Fermi surface into an infinite set of 1+1 dimensional chiral fermions, it is argued that an instanton has an infinite scaling dimension for any nonzero number of spinon flavors. Therefore, the spin liquid phase is stable against instantons and the non-compact U(1) gauge theory is a good low energy description.

14 pages, 7 figures, v3) minor corrections, to appear in PRB

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• Thermal Hall effects in quantum magnets
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• Fermi liquids beyond the forward scattering limit: the role of non-forward scatterings for scale invariance and instabilities
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
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• Reckoning with the Mother of all non-Fermi liquids: alien bosonization vs predator holography
• Monopole correlations in holographically flavored liquids
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• Disordered Weyl semimetal as an array of coupled Hubbard chains
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