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Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to kappa-(ET)2Cu2(CN)3

Motrunich, Olexei I. (2006) Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to kappa-(ET)2Cu2(CN)3. Physical Review B, 73 (15). Art. No. 155115. ISSN 1098-0121. doi:10.1103/PhysRevB.73.155115.

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We consider orbital magnetic field effects in a spin liquid phase of a half-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 derive an effective spin Hamiltonian up to four-spin exchanges in the presence of magnetic field, and find that the magnetic field couples linearly to spin chirality on the triangles. The latter corresponds to a flux of an internal gauge field in a gauge theory description of the spin liquid, and therefore a static internal flux is induced. A quantitative estimate of the effect is obtained using a spinon mean-field analysis, where we find that this orbital field experienced by the spinons is comparable to or even larger than the applied field. We further argue that because the stiffness of the emergent internal gauge field is very small, such a spinon-gauge system is strongly susceptible at low temperatures to an instability of the homogeneous state due to strong Landau level quantization for spinons. This instability is reminiscent of the so-called strong magnetic interaction regime in metals with the usual electromagnetic field, but we estimate that the corresponding temperature–magnetic-field range is significantly broader in the spinon-gauge system.

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Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2006 The American Physical Society (Received 28 November 2005; revised 13 February 2006; published 19 April 2006) The author has benefited from useful discussions with M.P.A. Fisher, V. Galitski, Y.-B. Kim, P.A. Lee, S.S. Lee, A. Paramekanti, T. Senthil, and A. Vishwanath, and also thanks the Aspen Center for Physics Summer Program on “Gauge Theories in Condensed Matter Physics” where part of this work was completed. The research at KITP is supported through NSF Grant No. PHY-9907949. Use of Hewlett-Packard and CNSI Computer Facilities at UCSB is acknowledged.
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Subject Keywords:organic compounds; Hubbard model; spin Hamiltonians; metal-insulator transition; Fermi surface; exchange interactions (electron); Landau levels; chirality
Issue or Number:15
Record Number:CaltechAUTHORS:MOTprb06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7133
Deposited By: Archive Administrator
Deposited On:09 Jan 2007
Last Modified:08 Nov 2021 20:39

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