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Strong-coupling phases of frustrated bosons on a two-leg ladder with ring exchange

Sheng, D. N. and Motrunich, Olexei I. and Trebst, Simon and Gull, Emanuel and Fisher, Matthew P. A. (2008) Strong-coupling phases of frustrated bosons on a two-leg ladder with ring exchange. Physical Review B, 78 (5). Art. No. 054520. ISSN 1098-0121. doi:10.1103/PhysRevB.78.054520.

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Developing a theoretical framework to access the quantum phases of itinerant bosons or fermions in two dimensions that exhibit singular structure along surfaces in momentum space but have no quasiparticle description remains a central challenge in the field of strongly correlated physics. In this paper we propose that distinctive signatures of such two-dimensional (2D) strongly correlated phases will be manifest in quasi-one-dimensional “N-leg ladder” systems. Characteristic of each parent 2D quantum liquid would be a precise pattern of one-dimensional (1D) gapless modes on the N-leg ladder. These signatures could be potentially exploited to approach the 2D phases from controlled numerical and analytical studies in quasi-one-dimension. As a first step we explore itinerant-boson models with a frustrating ring-exchange interaction on the two-leg ladder, searching for signatures of the recently proposed two-dimensional d-wave-correlated Bose liquid (DBL) phase. A combination of exact diagonalization, density-matrix renormalization-group, variational Monte Carlo, and bosonization analysis of a quasi-1D gauge theory provide compelling evidence for the existence of an unusual strong-coupling phase of bosons on the two-leg ladder, which can be understood as a descendant of the two-dimensional DBL. We suggest several generalizations to quantum spin and electron Hamiltonians on ladders, which could likewise reveal fingerprints of such 2D non-Fermi-liquid phases.

Item Type:Article
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URLURL TypeDescription
Motrunich, Olexei I.0000-0001-8031-0022
Gull, Emanuel0000-0002-6082-1260
Additional Information:© 2008 The American Physical Society. (Received 7 May 2008; published 26 August 2008). Editor's suggestion. We would like to thank L. Balents, T. Senthil, and A. Vishwanath for useful discussions. This work was supported by DOE Grant No. DE-FG02-06ER46305 (D.N.S.), the National Science Foundation through Grants No. DMR-0605696 (D.N.S.) and No. DMR-0529399 (MPAF), and the A.P. Sloan Foundation (O.I.M.). Some of our numerical simulations were based on the ALPS libraries.[37]
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-06ER46305
Alfred P. Sloan FoundationUNSPECIFIED
Subject Keywords:boson systems; exchange interactions (electron); Fermi liquid; Monte Carlo methods; renormalisation; strongly correlated electron systems; variational techniques
Issue or Number:5
Record Number:CaltechAUTHORS:SHEprb08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11523
Deposited By: Archive Administrator
Deposited On:30 Aug 2008 22:56
Last Modified:08 Nov 2021 22:00

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