تقرير
Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
| العنوان: | Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas |
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| المؤلفون: | Dupuis, Nicolas, Fedorenko, Andrei A. |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Quantum Gases |
| الوصف: | We determine the phase diagram of a one-dimensional Bose gas in the presence of disorder with short- and long-range correlations, the latter decaying with distance as $1/|x|^{1+\sigma}$. When $\sigma<0$, the Berezinskii-Kosterlitz-Thouless transition between the superfluid and the localized phase is driven by the long-range correlations and the Luttinger parameter $K$ takes the critical value $K_c(\sigma)=3/2-\sigma/2$. The localized phase is a Bose glass for $\sigma>\sigma_c=3-\pi^2/3\simeq -0.289868$, and a Mott glass -- characterized by a vanishing compressibility and a gapless conductivity -- when $\sigma<\sigma_c$. Our conclusions, based on the nonperturbative functional renormalization group and perturbative renormalization group, are confirmed by the study of the case $\sigma=-1$, corresponding to a perfectly correlated disorder in space, where the model is exactly solvable in the semiclassical limit $K\to 0^+$. Comment: 7+7 pages, 4 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.03430 |
| رقم الأكسشن: | edsarx.2407.03430 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |