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Bose metals and insulators on multileg ladders with ring exchange

Mishmash, Ryan V. and Block, Matthew S. and Kaul, Ribhu K. and Sheng, D. N. and Motrunich, Olexei I. and Fisher, Matthew P. A. (2011) Bose metals and insulators on multileg ladders with ring exchange. Physical Review B, 84 (24). Art. No. 245127. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20120123-133929180

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Abstract

We establish compelling evidence for the existence of new quasi-one-dimensional descendants of the d-wave Bose liquid (DBL), an exotic two-dimensional quantum phase of uncondensed itinerant bosons characterized by surfaces of gapless excitations in momentum space [O. I. Motrunich and M. P. A. Fisher Phys. Rev. B 75 235116 (2007)]. In particular, motivated by a strong-coupling analysis of the gauge theory for the DBL, we study a model of hard-core bosons moving on the N-leg square ladder with frustrating four-site ring exchange. Here, we focus on four- and three-leg systems where we have identified two novel phases: a compressible gapless Bose metal on the four-leg ladder and an incompressible gapless Mott insulator on the three-leg ladder. The former is conducting along the ladder and has five gapless modes, one more than the number of legs. This represents a significant step forward in establishing the potential stability of the DBL in two dimensions. The latter, on the other hand, is a fundamentally quasi-one-dimensional phase that is insulating along the ladder but has two gapless modes and incommensurate power-law transverse density-density correlations. While we have already presented results on this latter phase elsewhere [ M. S. Block et al. Phys. Rev. Lett. 106 046402 (2011)], we will expand upon those results in this work. In both cases, we can understand the nature of the phase using slave-particle-inspired variational wave functions consisting of a product of two distinct Slater determinants, the properties of which compare impressively well to a density matrix renormalization group solution of the model Hamiltonian. Stability arguments are made in favor of both quantum phases by accessing the universal low-energy physics with a bosonization analysis of the appropriate quasi-1D gauge theory. We will briefly discuss the potential relevance of these findings to high-temperature superconductors, cold atomic gases, and frustrated quantum magnets.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.84.245127 DOIArticle
http://link.aps.org/doi/10.1103/PhysRevB.84.245127PublisherArticle
ORCID:
AuthorORCID
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2011 American Physical Society. Received 21 October 2011; revised manuscript received 5 December 2011; published 27 December 2011. This work was supported by the NSF under grants DMR-1101912 (R.V.M., M.S.B., and M.P.A.F.), DMR-1056536 (R.K.K.), DMR-0906816, DMR-0611562 (D.N.S.), and DMR-0907145 (O.I.M.), and Microsoft Station Q (R.V.M. and R.K.K.).
Funders:
Funding AgencyGrant Number
NSFDMR-1101912
NSFDMR-1056536
NSFDMR-0906816
NSFDMR-0611562
NSFDMR-0907145
Microsoft Station QUNSPECIFIED
Issue or Number:24
Classification Code:PACS: 71.10.Hf, 71.10.Pm, 75.10.Jm
Record Number:CaltechAUTHORS:20120123-133929180
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120123-133929180
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28923
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:26 Jan 2012 22:00
Last Modified:03 Oct 2019 03:36

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