Midgap states and generalized supersymmetry in semi-infinite nanowires
نویسندگان
چکیده
منابع مشابه
Generalized semi-infinite programming: Theory and methods
Generalized semi-infinite optimization problems (GSIP) are considered. The difference between GSIP and standard semi-infinite problems (SIP) is illustrated by examples. By applying the ’Reduction Ansatz’, optimality conditions for GSIP are derived. Numerical methods for solving GSIP are considered in comparison with methods for SIP. From a theoretical and a practical point of view it is investi...
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The method of functional integral bosonization is extended to examine the transmission properties of semi-infinite nanowires. In particular, it is shown that edge states will arise at the end point of the dimerized semi-infinite spin-chain and by combining the method of image and the bosonization technique, the system can be properly bosonized. Based on the bosonized action and a renormalizatio...
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Generalized semi-infinite optimization problems (GSIP) are considered. It is investigated how the numerical methods for standard semi-infinite programming (SIP) can be extended to GSIP. Newton methods can be extended immediately. For discretization methods the situation is more complicated. These difficulties are discussed and convergence results for a discretizationand an exchange method are d...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2004
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.70.205408