کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1844255 1031696 2008 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
چکیده انگلیسی
The ground state and low energy excitations of the SU(m|n) supersymmetric Haldane-Shastry spin chain are analyzed. In the thermodynamic limit, it is found that the ground state degeneracy is finite only for the SU(m|0) and SU(m|1) spin chains, while the dispersion relation for the low energy and low momentum excitations is linear for all values of m and n. We show that the low energy excitations of the SU(m|1) spin chain are described by a conformal field theory of m non-interacting Dirac fermions which have only positive energies; the central charge of this theory is m/2. Finally, for n⩾1, the partition functions of the SU(m|n) Haldane-Shastry spin chain and the SU(m|n) Polychronakos spin chain are shown to be related in a simple way in the thermodynamic limit at low temperatures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 795, Issue 3, 1 June 2008, Pages 596-622
نویسندگان
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