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Local Marchenko-Pastur Law at the Hard Edge of Sample Covariance Matrices
Random matrices ovariance matrices archenko-Pastur law ensity of states elocalization
2012/6/29
Let $X_N$ be a $N\times N$ matrix whose entries are i.i.d. complex random variables with mean zero and variance $\frac{1}{N}$. We study the asymptotic spectral distribution of the eigenvalues of the c...
Edge states and topological phases in non-Hermitian systems
Edge states topological phases non-Hermitian systems Mesoscale and Nanoscale Physics
2011/9/30
Abstract: Topological stability of the edge states is investigated for non-Hermitian systems. We examine two classes of non-Hermitian Hamiltonians supporting real bulk eigenenergies in weak non-Hermit...
Marginality of bulk-edge correspondence for single-valley Hamiltonians
Marginality of bulk-edge correspondence single-valley Hamiltonians
2010/11/17
We study the correspondence between the non-trivial topological properties associated with the
individual valleys of gapped bilayer graphene (BLG), as a prototypical multi-valley system, and the gapl...
The Critical Lines of the Yang-Lee Edge Singularities of the Anisotropic Ising Ferromagnets on Square,
Triangular and Honeycomb Lattices
Yang-Lee edge singularity Ising ferromagnet
2007/8/15
2001Vol.35No.3pp.365-370DOI:
The Critical Lines of the Yang-Lee Edge Singularities of the Anisotropic Ising Ferromagnets on Square,
Triangular and Honeycomb Lattices
WANG Xian-Zhi...
Persistent Currents and Edge States in a Quasi-One-Dimensional
Mesoscopic Ring with a Screened Interaction
strongly correlated electron systems persistent currents edge states
2007/8/15
2002Vol.38No.5pp.621-628DOI:
Persistent Currents and Edge States in a Quasi-One-Dimensional
Mesoscopic Ring with a Screened Interaction
HE Guang-Ping and LI Hua-Zhong
Ad...