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We consider orbital magnetic field effects in a spin liquid phase of ahalf-filled triangular lattice Hubbard system close to the Mott transition,continuing an earlier exploration of a state with spinon Fermi surface.Starting from the Hubbard model and focusing on the insulator side, we derivean effective spin Hamiltonian up to four-spin exchanges in the presence ofmagnetic field, and find that the magnetic field couples linearly to spinchirality on the triangles. The latter corresponds to a flux of an internalgauge field in a gauge theory description of the spin liquid, and therefore astatic such internal flux is induced. A quantitative estimate of the effect isobtained using a spinon mean field analysis, where we find that this orbitalfield seen by the spinons is comparable to or even larger than the appliedfield. We further argue that because the stiffness of the emergent internalgauge field is very small, such a spinon-gauge system is strongly susceptibleat low temperatures to an instability of the homogeneous state due to strongLandau level quantization for spinons. This instability is reminiscent of theso-called strong magnetic interaction regime in metals with the usualelectromagnetic field, but we estimate that the correspondingtemperature--magnetic field range is significantly broader in the spinon-gaugesystem.Comment: Replaced with new version to match PRB; significant rewrite of the  intro/discussion; references added; 13 pages, 6 figure

physical review. b, condensed matter and materials physics

Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>κ</mml:mi><mml:mtext>−</mml:mtext><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>ET</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">C</mml:mi><mml:mi …

Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application toκ−(ET)2Cu2(C