This research utilizes the infinite Projected Entangled-Pair State tensor network to investigate the frustration induced superconductivity in the electron- and hole-doped Hubbard model in the thermodynamic limit.

This is a talk given in seminar High-Tc Superconductivity concerning the emergence of strong correlated physics like unconventional superconductivity found in various heavy fermion materials created by Kondo lattice.

This is a talk given in seminar Topological Order and Anyons concerning the fractional Hall effect and the construction of a universal set of topologically-protected quantum gates using ν=5/2 fractional quantum Hall state.

This is a talk given in seminar Modern Topics in Condensed Matter Physics concerning the magic-angle twisted bilayer graphene together with the correlated insulator and unconventional superconductivity in this system.

This article studies the algebraic and analytical structures in Quantum Physics. We argued that it is the algebraic structure that provides the validity of a theory. This explains why Quantum Field Theory works without a mathematical basis.

This article provides a derivation of spin-statistics connection from the quadratic form of Lagrangian. It is particularly useful when micro-causality is not available, e.g. in Quantum Gravity where spacetime background may be dynamical.

This is the lab report on the measurement of the differential cross section of Compton scattering. It is found that the Klein-Nishina formula provided by Quantum Electrodynamics fits accurately with the measurement result.

This report analyse the possibility of invoking lazy evaluation scheme in Haskell to scientific computation. The efficiency of Schrodinger equation solvers in C, Haskell and Python are investigated and Haskell provides appealing outcomes.

This is a Haskell program aimed at solving time-dependent 1D Schrodinger equation using Runge-Kutta method. This program can be at most twice as fast as its Python companion without much loss of readability and extendibility.

This is a report given in an Electromagnatism seminar concerning the Electromagnatic interaction described by a U(1) Gauge Field Theory. This report provides a sketch to construct gauge theory from fibre bundle.