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A finite-temperature phase transition for disordered weakly interacting bosons in one dimension

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A finite-temperature phase transition for disordered weakly interacting bosons in one dimension. / Aleiner, Igor; Altshuler, Boris; Shlyapnikov, G. V.
In: Nature Physics, Vol. 6, No. 11, 01.11.2010, p. 900-904.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Aleiner, I, Altshuler, B & Shlyapnikov, GV 2010, 'A finite-temperature phase transition for disordered weakly interacting bosons in one dimension', Nature Physics, vol. 6, no. 11, pp. 900-904. https://doi.org/10.1038/NPHYS1758

APA

Aleiner, I., Altshuler, B., & Shlyapnikov, G. V. (2010). A finite-temperature phase transition for disordered weakly interacting bosons in one dimension. Nature Physics, 6(11), 900-904. https://doi.org/10.1038/NPHYS1758

Vancouver

Aleiner I, Altshuler B, Shlyapnikov GV. A finite-temperature phase transition for disordered weakly interacting bosons in one dimension. Nature Physics. 2010 Nov 1;6(11):900-904. doi: 10.1038/NPHYS1758

Author

Aleiner, Igor ; Altshuler, Boris ; Shlyapnikov, G. V. / A finite-temperature phase transition for disordered weakly interacting bosons in one dimension. In: Nature Physics. 2010 ; Vol. 6, No. 11. pp. 900-904.

Bibtex

@article{8625afe3cc134fa1807d418fa68f28e5,
title = "A finite-temperature phase transition for disordered weakly interacting bosons in one dimension",
abstract = " It is commonly accepted that there are no phase transitions in one-dimensional systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we show theoretically that the one-dimensional gas of short-range interacting bosons in the presence of disorder can undergo a finite-temperature phase transition between two distinct states: fluid and insulator. Neither of these states has long-range spatial correlations, but this is a true, albeit non-conventional, phase transition, because transport properties are singular at the transition point. In the fluid phase, mass transport is possible, whereas in the insulator phase it is completely blocked even at finite temperatures. This study thus provides insight into how the interaction between disordered bosons influences their Anderson localization. This question, first raised for electrons in solids, is now crucial for the studies of atomic bosons, where recent experiments have demonstrated Anderson localization in expanding dilute quasi-one-dimensional clouds.",
author = "Igor Aleiner and Boris Altshuler and Shlyapnikov, {G. V.}",
year = "2010",
month = nov,
day = "1",
doi = "10.1038/NPHYS1758",
language = "English",
volume = "6",
pages = "900--904",
journal = "Nature Physics",
issn = "1745-2473",
publisher = "Nature Publishing Group",
number = "11",

}

RIS

TY - JOUR

T1 - A finite-temperature phase transition for disordered weakly interacting bosons in one dimension

AU - Aleiner, Igor

AU - Altshuler, Boris

AU - Shlyapnikov, G. V.

PY - 2010/11/1

Y1 - 2010/11/1

N2 - It is commonly accepted that there are no phase transitions in one-dimensional systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we show theoretically that the one-dimensional gas of short-range interacting bosons in the presence of disorder can undergo a finite-temperature phase transition between two distinct states: fluid and insulator. Neither of these states has long-range spatial correlations, but this is a true, albeit non-conventional, phase transition, because transport properties are singular at the transition point. In the fluid phase, mass transport is possible, whereas in the insulator phase it is completely blocked even at finite temperatures. This study thus provides insight into how the interaction between disordered bosons influences their Anderson localization. This question, first raised for electrons in solids, is now crucial for the studies of atomic bosons, where recent experiments have demonstrated Anderson localization in expanding dilute quasi-one-dimensional clouds.

AB - It is commonly accepted that there are no phase transitions in one-dimensional systems at a finite temperature, because long-range correlations are destroyed by thermal fluctuations. Here we show theoretically that the one-dimensional gas of short-range interacting bosons in the presence of disorder can undergo a finite-temperature phase transition between two distinct states: fluid and insulator. Neither of these states has long-range spatial correlations, but this is a true, albeit non-conventional, phase transition, because transport properties are singular at the transition point. In the fluid phase, mass transport is possible, whereas in the insulator phase it is completely blocked even at finite temperatures. This study thus provides insight into how the interaction between disordered bosons influences their Anderson localization. This question, first raised for electrons in solids, is now crucial for the studies of atomic bosons, where recent experiments have demonstrated Anderson localization in expanding dilute quasi-one-dimensional clouds.

UR - http://www.scopus.com/inward/record.url?scp=78149280604&partnerID=8YFLogxK

U2 - 10.1038/NPHYS1758

DO - 10.1038/NPHYS1758

M3 - Journal article

AN - SCOPUS:78149280604

VL - 6

SP - 900

EP - 904

JO - Nature Physics

JF - Nature Physics

SN - 1745-2473

IS - 11

ER -