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Exotic Gapless Mott Insulators of Bosons on Multileg Ladders

Block, Matthew S. and Mishmash, Ryan V. and Kaul, Ribhu K. and Sheng, D. N. and Motrunich, Olexei I. and Fisher, Matthew P. A. (2011) Exotic Gapless Mott Insulators of Bosons on Multileg Ladders. Physical Review Letters, 106 (4). Art. No. 046402. ISSN 0031-9007. https://resolver.caltech.edu/CaltechAUTHORS:20110301-084205536

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Abstract

We present evidence for an exotic gapless insulating phase of hard-core bosons on multileg ladders with a density commensurate with the number of legs. In particular, we study in detail a model of bosons moving with direct hopping and frustrating ring exchange on a 3-leg ladder at ν=1/3 filling. For sufficiently large ring exchange, the system is insulating along the ladder but has two gapless modes and power law transverse density correlations at incommensurate wave vectors. We propose a determinantal wave function for this phase and find excellent comparison between variational Monte Carlo and density matrix renormalization group calculations on the model Hamiltonian, thus providing strong evidence for the existence of this exotic phase. Finally, we discuss extensions of our results to other N-leg systems and to N-layer two-dimensional structures.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevLett.106.046402DOIArticle
http://link.aps.org/doi/10.1103/PhysRevLett.106.046402PublisherArticle
http://prl.aps.org/abstract/PRL/v106/i4/e046402PublisherArticle
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2011 American Physical Society. Received 28 August 2010; published 27 January 2011. This work was supported by the NSF under Grants No. DMR-0529399 (M. S. B., R.V. M., and M. P. A. F.) and No. DMR-0907145 (O. I. M.); the DOE under Grant No. DE-FG02-06ER46305 (D. N. S.); and Microsoft Station Q (R.V. M. and R. K. K.).
Funders:
Funding AgencyGrant Number
NSFDMR-0529399
NSFDMR-0907145
Department of Energy (DOE)DE-FG02-06ER46305
Microsoft Station QUNSPECIFIED
Issue or Number:4
Classification Code:PACS: 71.10.Hf, 71.10.Pm, 75.10.Jm
Record Number:CaltechAUTHORS:20110301-084205536
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20110301-084205536
Official Citation:Exotic Gapless Mott Insulators of Bosons on Multileg Ladders Matthew S. Block, Ryan V. Mishmash, Ribhu K. Kaul, D. N. Sheng, Olexei I. Motrunich, and Matthew P. A. Fisher Published 27 January 2011
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22564
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Mar 2011 17:15
Last Modified:03 Oct 2019 02:38

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