Supported by the National Natural Science Foundation of China(Grant No.11471273; 11671186)
Enumeration of perfect matchings on graphs has a longstanding interest in combinatorial mathematics. In this paper, we obtain some explicit expressions of the number of perfect matchings for a type of Archimedean latt...
supported by the National Natural Science Foundation of China (Grant No. 11874156).
The novel idea that spin-orbit coupling (SOC) and an s-wave pairing system can lead to induced pwave pairing with a strong magnetic limit, has stimulated widespread interest in searching for Majorana fermions (MFs) in...
A familiar and natural decomposition of square matrices leads to the construction of a Pfaffian with the same value as the determinant of the square matrix.
The (2 + 1)-dimensional Korteweg de Vries (KdV) equation, which was first derived by Boiti et al., has been studied by various distinct methods. It is known that this (2 + 1)-dimensional KdV equation has rich solution...
Supported by National Natural Science Foundation of China under Grant Nos.11005002 and 11005003;New Century Excellent Talent of M.O.E(NCET-11-0937);Sponsoring Program of Excellent Younger Teachers in universities in Henan Province of China under Grant No.2010GGJS-181
By virtue of the two-layer picture of Pfatfian pair Hall state, a qubit representation of topological degeneracy for quasiholes excitation is displayed. The non-Abelian feature of states can be manifested readily by t...