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One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase

Dalmonte, M. and Pupillo, G. and Zoller, P. (2010) One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase. Physical Review Letters, 105 (14). Art. No. 140401. ISSN 0031-9007.

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We study one-dimensional fermionic and bosonic gases with repulsive power-law interactions 1/|x|^β, with β > 1, in the framework of Tomonaga-Luttinger liquid (TLL) theory.We obtain an accurate analytical expression linking the TLL parameter to the microscopic Hamiltonian, for arbitrary and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the TLL unstable towards the formation of a cascade of lattice solids with fractional filling, a "Luttinger staircase." Several of these quantum phases and phase transitions are realized with ground state polar molecules and weakly bound magnetic Feshbach molecules.

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Additional Information:© 2010 The American Physical Society. Received 28 April 2010; revised manuscript received 19 July 2010; published 28 September 2010. We thank M. Di Dio, E. Ercolessi, R. Fazio, F. Ferlaino, and J. Ye for discussions, H. J. Kimble and P. Julienne for hospitality at Caltech, and JQI. This work was supported by U.Md. PFC/JQI, MURI, EOARD FA8655-10-1-3081, the Austrian FWF, the EU through NAME-QUAM.
Funding AgencyGrant Number
Multidisciplinary University Research Initiative (MURI)UNSPECIFIED
European Office of Aerospace Research and Development (EOARD)FA8655-10-1-3081
Austrian Science Fund (FWF)UNSPECIFIED
European Union (EU)UNSPECIFIED
Issue or Number:14
Classification Code:PACS: 34.20.-b, 03.75.Lm, 05.30.Jp, 71.10.Pm
Record Number:CaltechAUTHORS:20101022-085417196
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Official Citation:Dalmonte, M., G. Pupillo, et al. (2010). "One-Dimensional Quantum Liquids with Power-Law Interactions: The Luttinger Staircase." Physical Review Letters 105(14): 140401.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20477
Deposited By: Tony Diaz
Deposited On:16 Nov 2010 19:33
Last Modified:03 Oct 2019 02:10

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