کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1818493 1525743 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
One-dimensional Cooper pairing
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک ماده چگال
پیش نمایش صفحه اول مقاله
One-dimensional Cooper pairing
چکیده انگلیسی

We study electron pairing in a one-dimensional (1D) fermion gas at zero temperature under zero- and finite-range, attractive, two-body interactions. The binding energy of Cooper pairs (CPs) with zero total or center-of-mass momentum (CMM) increases with attraction strength and decreases with interaction range for fixed strength. The excitation energy of 1D CPs with nonzero CMM display novel, unique properties. It satisfies a dispersion relation with two branches: a phonon-like linear excitation for small CP CMM; this is followed by roton-like quadratic excitation minimum for CMM greater than twice the Fermi wavenumber, but only above a minimum threshold attraction strength. The expected quadratic-in-CMM dispersion in vacuo when the Fermi wavenumber is set to zero is recovered for any coupling. This paper completes a three-part exploration initiated in 2D and continued in 3D.


► Exact solutions for electron pairing in a 1D Fermi gas under different separable interactions.
► Energy dispersion relations for arbitrary values of center-of-mass momenta and interaction strengths.
► Results reveal linear and roton-like modes.
► Effects due to finite range parameters in the interaction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica C: Superconductivity - Volume 471, Issues 17–18, September 2011, Pages 497–503
نویسندگان
, , , ,