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Title: Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids

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Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 1; Related Information: CHORUS Timestamp: 2018-01-19 10:06:28; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Vranješ Markić, L., Vrcan, H., Zuhrianda, Z., and Glyde, H. R. Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.014513.
Vranješ Markić, L., Vrcan, H., Zuhrianda, Z., & Glyde, H. R. Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids. United States. doi:10.1103/PhysRevB.97.014513.
Vranješ Markić, L., Vrcan, H., Zuhrianda, Z., and Glyde, H. R. 2018. "Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids". United States. doi:10.1103/PhysRevB.97.014513.
title = {Superfluidity, Bose-Einstein condensation, and structure in one-dimensional Luttinger liquids},
author = {Vranješ Markić, L. and Vrcan, H. and Zuhrianda, Z. and Glyde, H. R.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.014513},
journal = {Physical Review B},
number = 1,
volume = 97,
place = {United States},
year = 2018,
month = 1

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on January 19, 2019
Publisher's Accepted Manuscript

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  • Low-temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the confining potential yield evidence of a quantum phase transition from a superfluid to a crystal-like phase, consistently with what is observed in the homogeneous system. It is found that the crystal phase nucleates in the center of the trap, as the density increases. Bose-Einstein condensation vanishes at T=0 upon entering the crystalline phase, concurrently with the disappearance of the superfluid response.
  • Recent experiments have shown that it is possible to create an in-plane harmonic potential trap for a two-dimensional (2D) gas of exciton polaritons in a microcavity structure, and evidence has been reported of Bose-Einstein condensation of polaritons accumulated in this type of trap. We present here the theory of Bose-Einstein condensation (BEC) and superfluidity of the exciton polaritons in a harmonic potential trap. Along the way, we determine a general method for defining the superfluid fraction in a 2D trap, in terms of angular momentum representation. We show that in the continuum limit, as the trap becomes shallower, the superfluidmore » fraction approaches the 2D Kosterlitz-Thouless limit, while the condensate fraction approaches zero, as expected.« less
  • The analytic form of a wave propagating with a constant velocity and a permanent profile is inferred for a weakly interacting Bose gas, using an exact (rather than asymptotic) solution of the field equation of the self-consistent Hartree model. The significance of this approach is indicated, especially when realistic interatomic potentials are used. In addition, the general relation between solitons and Bose-Einstein condensation is underlined by invoking the profound insight recently acquired in studies of the quantum liquids involved in the living states. It is concluded that solitons may occur in He II, and may play a significant role inmore » the phenomenon of superfluidity.« less
  • Unification of the Bardeen, Cooper and Schrieffer (BCS) and the Bose-Einstein condensation (BEC) theories is surveyed in terms of a generalized BEC (GBEC) finite-temperature statistical formalism. A vital distinction is that Cooper pairs (CPs) are true bosons that may suffer a BEC since they obey BE statistics, in contrast with BCS pairs that are 'hard-core bosons' at best. A second crucial ingredient is the explicit presence of hole-pairs (2h) alongside the usual electron-pairs (2e). A third critical element (particularly in 2D where ordinary BEC does not occur) is the linear dispersion relation of CPs in leading order in the center-of-massmore » momentum (CMM) power-series expansion of the CP energy. The GBEC theory reduces in limiting cases to all five continuum (as opposed to 'spin') statistical theories of superconductivity, from BCS on one extreme to the BEC theory on the other, as well as to the BCS-Bose 'crossover' picture and the 1989 Friedberg-Lee BEC theory. It accounts for 2e- and 2h-CPs in arbitrary proportions while BCS theory can be deduced from the GBEC theory but allows only equal (50%-50%) BE condensed-mixtures of both kinds of CPs. As it yields the precise BCS gap equation for all temperatures as well as the precise BCS zero-temperature condensation energy for all couplings, it suggests that the BCS condensate is a BE condensate of a ternary mixture of kinematically independent unpaired electrons coexisting with equally proportioned weakly-bound zero-CMM 2e- and 2h-CPs. Without abandoning the electron-phonon mechanism in moderately weak coupling, and fortuituously insensitive to the BF interactions, the GBEC theory suffices to reproduce the unusually high values of T{sub c} (in units of the Fermi temperature T{sub F}) of 0.01-0.05 empirically found in the so-called 'exotic' superconductors of the Uemura plot, including cuprates, in contrast to the low values of T{sub c}/T{sub F}{<=}10{sup -3} roughly reproduced by BCS theory for conventional (mostly elemental) superconductors.« less
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