کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5495818 1529826 2017 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Airy-averaged gradient corrections for two-dimensional fermion gases
ترجمه فارسی عنوان
اصلاح گرادیان هوای متوسط ​​برای گازهای فرومیون دو بعدی
کلمات کلیدی
تئوری عملکردی فضایی بدون ارقام، تصحیح گرادیان، گسترش نیمکلاسیک، تراکم یک ذره، کارکرد انرژی جنبشی، گازهای فرمیون،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
Building on the discussion in Trappe et al. (2016), we present a systematic derivation of gradient corrections to the kinetic-energy functional and the one-particle density, in particular for two-dimensional systems. We derive the leading gradient corrections from a semiclassical expansion based on Wigner's phase space formalism and demonstrate that the semiclassical kinetic-energy density functional at zero temperature cannot be evaluated unambiguously. In contrast, a density-potential functional description that effectively incorporates interactions provides unambiguous gradient corrections. Employing an averaging procedure that involves Airy functions, thereby partially resumming higher-order gradient corrections, we facilitate a smooth transition of the particle density into the classically forbidden region of arbitrary smooth potentials. We find excellent agreement of the semiclassical Airy-averaged particle densities with the exact densities for very low but finite temperatures, illustrated for a Fermi gas with harmonic potential energy. We furthermore provide criteria for the applicability of the semiclassical expansions at low temperatures. Finally, we derive a well-behaved ground-state kinetic-energy functional, which improves on the Thomas-Fermi approximation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 385, October 2017, Pages 136-161
نویسندگان
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