Tay, Tiamhock and Motrunich, Olexei I. (2011) Failure of Gutzwiller-type wave function to capture gauge fluctuations: Case study in the exciton Bose liquid context. Physical Review B, 83 (23). Art. No. 235122. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:20110624-094212541
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Slave particle approaches are widely used in studies of exotic quantum phases. A complete description beyond mean field also contains dynamical gauge fields, while a simplified procedure considers Gutzwiller-projected trial states. We apply this in the context of bosonic models with ring exchanges realizing so-called exciton Bose liquid (EBL) phase and compare a Gutzwiller wave function against an accurate EBL wave function. We solve the parton-gauge theory and show that dynamical fluctuations of the spatial gauge fields are necessary for obtaining qualitatively accurate EBL description. On the contrary, just the Gutzwiller projection leads to a state with subtle differences in the long-wavelength properties, thus suggesting that Gutzwiller wave functions may generally fail to capture long-wavelength physics.
|Additional Information:||© 2011 American Physical Society. Received 26 December 2010; revised 8 April 2011; published 13 June 2011. We would like to thank M. P. A. Fisher formany inspirations leading to this project and R. Kaul, M. Hastings, and A. Paramekanti for discussions. The research is supported by the NSF through Grant No. DMR-0907145 and the A. P. Sloan Foundation.|
|Classification Code:||PACS: 71.10.Pm, 75.10.Jm, 75.40.Mg|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||24 Jun 2011 20:11|
|Last Modified:||26 Dec 2012 13:20|
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