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The emergence of two-dimensional materials have provided physicists with unprecedented way of studying the motion of electrons in a superconductor. Although superconductivity itself has been studied for more than a century, the recent advances of “twistronics” research in graphene superlattices brings fundamentally new physics into the picture...

This thesis is devoted to studying quantum mechanical systems with gravity duals. It is interesting to study holographic correspondence for quantum mechanical systems since we have much more theoretical control over them compared to quantum field theories.

Magnetic breakdown refers to the tunneling of electrons between distinct orbitals beyond a critical magnetic field.

Generic isolated interacting quantum systems are believed to be ergodic, i.e. any simple initial state evolves to a thermal state at late-times, forming a barrier to the protection of quantum information. A sufficient condition for the thermalization of initial states in an isolated quantum system is the Eigenstate Thermalization Hypothesis (...

This thesis examines topics in ultrametric physics, by which is meant physical theories involving $p$-adic numbers or the $p$-adic distance function.

Zoom meeting ID: 935 3760 0219

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Abstract

Zoom meeting ID: 967 8799 8386 

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In the thin cylinder regime Haldane’s pseudo-potential corresponding to one-third filling results in a frustration-free fermionic lattice Hamiltonian which is dipole-conserving with an added electrostatic interaction. Its zero-energy eigenspace is exponentially large.