Lai, Hsin-Hua and Motrunich, Olexei I. (2011) Majorana spin liquids on a two-leg ladder. Physical Review B, 84 (23). Art. No. 235148. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:20120206-111342766
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We realize a gapless Majorana orbital liquid (MOL) using orbital degrees of freedom and an SU(2)-invariant Majorana spin liquid (MSL) using both spin and orbital degrees of freedom in Kitaev-type models on a two-leg ladder. The models are exactly solvable by Kitaev's parton approach, and we obtain long-wavelength descriptions for both Majorana liquids. The MOL has one gapless mode and power-law correlations in energy at incommensuate wave vectors, while the SU(2) MSL has three gapless modes and power-law correlations in spin, spin-nematic, and local energy observables. We study the stability of such states to perturbations away from the exactly solvable points. We find that both MOL and MSL can be stable against allowed short-range parton interactions. We also argue that both states persist on allowing Z_2 gauge-field fluctuations, in that the number of gapless modes is retained, although with an expanded set of contributions to observables compared to the free parton mean field.
|Additional Information:||© 2011 American Physical Society. Received 21 October 2011; published 27 December 2011. This research is supported by the National Science Foundation through Grant No. DMR-0907145 and by the A. P. Sloan Foundation.|
|Group:||Institute for Quantum Information and Matter, IQIM|
|Classification Code:||PACS: 75.10.Jm, 75.10.Kt|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||28 Feb 2012 18:27|
|Last Modified:||26 Dec 2012 14:48|
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