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We study triangular lattice spin-1/2 system with antiferromagnetic Heisenbergand ring exchanges using variational approach focusing on possible realizationof spin liquid states. Trial spin liquid wave functions are obtained byGutzwiller projection of fermionic mean field states and their energetics iscompared against magnetically ordered trial states. We find that in a range ofthe ring exchange coupling upon destroying the antiferromagnetic order, thebest such spin liquid state is essentially a Gutzwiller-projected Fermi seastate. We propose this spin liquid with spinon Fermi surface as a candidate forthe nonmagnetic insulating phase observed in the organic compound \kappa-(ET)_2Cu_2 (CN)_3, and describe some experimental consequences of this proposal.Comment: 7 pages, 5 figure

physical review. b, condensed matter and materials physics

Variational study of triangular lattice spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mo>∕</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>model with ring exchanges and spin liquid state in<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:mrow><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mi>ET</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mn>2</mml:mn></…

Variational study of triangular lattice spin-1∕2model with ring exchanges and spin liquid state inκ−(ET)2