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Published January 2010 | Published
Journal Article Open

Two-band electronic metal and neighboring spin Bose-metal on a zigzag strip with longer-ranged repulsion

Abstract

We consider an electronic model for realizing the spin Bose-metal (SBM) phase on a two-leg triangular strip—a spin liquid phase found by Sheng et al. [Phys. Rev. B 79, 205112 (2009)] in a spin-1/2 model with ring exchanges. The SBM can be viewed as a "C1S2" Mott insulator of electrons where the overall charge transporting mode is gapped out. We start from a two-band "C2S2" metal and consider extended repulsion motivated by recent ab initio derivation of electronic model for κ-ET spin liquid material [K. Nakamura et al., J. Phys. Soc. Jpn. 78, 083710 (2009)]. Using weak coupling renormalization group analysis, we find that the extended interactions allow much wider C2S2 metallic phase than in the Hubbard model with on-site repulsion only. An eight-fermion umklapp term plays a crucial role in producing a Mott insulator but cannot be treated in weak coupling. We use bosonization to extend the analysis to intermediate coupling and study phases obtained out of the C2S2 metal upon increasing overall repulsion strength, finding that the SBM phase is a natural outcome for extended interactions.

Additional Information

© 2010 American Physical Society. Received 11 November 2009; published 5 January 2010. We would like to thank M. P. A. Fisher, I. Gonzalez, R. Melko, and D. N. Sheng for useful discussions and M. P. A. Fisher for stimulating this work and critical reading of the manuscript. This research is supported by the A. P. Sloan Foundation and the National Science Foundation through Grant No. DMR-0907145.

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