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Susceptibility at the superfluid-insulator transition for one-dimensional disordered bosons

Iyer, Shankar and Pekker, David and Refael, Gil (2013) Susceptibility at the superfluid-insulator transition for one-dimensional disordered bosons. Physical Review B, 88 (22). Art. No. 220501. ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20130812-104101196

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Abstract

A pair of recent Monte Carlo studies have reported evidence for and against a crossover from weak to strong-disorder criticality in the one-dimensional dirty boson problem. The Monte Carlo analyses rely on measurement of two observables: the effective Luttinger parameter K_(eff) and the superfluid susceptibility χ. The former quantity was previously calculated analytically, using the strong-disorder renormalization group (SDRG), by Altman, Kafri, Polkovnikov, and Refael. Here, we use an extension of the SDRG framework to find a non-universal anomalous dimension η_(sd) characterizing the divergence of the susceptibility with system size: χ ~ L^(2-η_(sd)). We show that η_(sd) obeys the hyperscaling relation η_(sd) = 1/2K_(eff). We also identify an important obstacle to measuring this exponent on finite-size systems and comment on the implications for numerics and experiments.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1307.7719arXivDiscussion Paper
http://dx.doi.org/10.1103/PhysRevB.88.220501DOIArticle
http://link.aps.org/doi/10.1103/PhysRevB.88.220501PublisherArticle
Additional Information:© 2013 American Physical Society. Received 2 August 2013; published 2 December 2013. We thank T. Vojta for sharing his numerical results with us at the 2012 workshop on Quantum Matter from the Nano- to the Macroscale at the MPIPKS-Dresden. We also acknowledge T. Giamarchi and L. Pollet for helpful conversations. We are grateful to the MPIPKS-Dresden, the KITP, and the Aspen Center for Physics for their hospitality and acknowledge financial support from the IQIM, an NSF center supported in part by the Moore foundation. Additionally, DP and GR are grateful for financial support from the Lee A. DuBridge Fellowship and Packard foundation respectively.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Lee A. DuBridge FellowshipUNSPECIFIED
David and Lucile Packard FoundationUNSPECIFIED
Classification Code:PACS: 74.81.-g, 05.30.Jp, 67.85.-d
Record Number:CaltechAUTHORS:20130812-104101196
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130812-104101196
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:39872
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 Aug 2013 17:58
Last Modified:13 Jan 2014 21:22

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