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*Chung-Yu Mou*

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- Mechanism of high temperature superconductivity, Type-II Superconductors, physics of edge states.
- Renormalization Group, Dynamical Renormalization Group; Quantum Field Theory.
- Generalized Method of Image --- It is known for many years that what is measured in the tunneling experiments is the density of state. In the simplest case, the density of state is the bulk density of state, which is simply the imaginary part of bulk Green's function. However, it is also known that this is not correct as the tunneling measurement is a local probe. Then one needs to replace the density of state by the local density of state. The conventional approach is to calculate the local density of state by brutal force. In this work, we are able to write the local density of state in terms of bulk Green's functions. This is achieved via the usage of generalized method of image. Reference 1 Reference 2
- Supersymmetry --- Recent advances in nanotechnology have made bottom-up assembly of single nanowires feasible in laboratories. While conventional studies of the 1D wire focuses on its bulk properties, in practice, assembled nanowires can only have finite lengths and must terminate at some sites. However, sometimes, the termination of nanowires introduces edge modes. Our recent work shows that there exists a beautiful supersymmetric structure in the energy spectra and the wavefunctions of these modes. Remarkably, as a consequence of the symmetry, the wavefunctions of all midgap states reveals a universal form. Furthermore, the supersymmetry provides a way of unifying impurity states (bonds) and the midgap states. Reference

Mechanism of high temperature superconductivity

Midgap states & their topological origin