کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1854840 1529855 2015 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
KK-theory and pseudospectra for topological insulators
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
KK-theory and pseudospectra for topological insulators
چکیده انگلیسی

We derive formulas and algorithms for Kitaev’s invariants in the periodic table for topological insulators and superconductors for finite disordered systems on lattices with boundaries. We find that KK-theory arises as an obstruction to perturbing approximately compatible observables into compatible observables.We derive formulas in all symmetry classes up to dimension two, and in one symmetry class in dimension three, that can be computed with sparse matrix algorithms. We present algorithms in two symmetry classes in 2D2D and one in 3D3D and provide illustrative studies regarding how these algorithms can detect the scaling properties of phase transitions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Physics - Volume 356, May 2015, Pages 383–416
نویسندگان
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