- Graphene research and applications
- Quantum and electron transport phenomena
- Topological Materials and Phenomena
- Magnetic properties of thin films
- 2D Materials and Applications
- Physics of Superconductivity and Magnetism
- Advanced Thermodynamics and Statistical Mechanics
- Atomic and Subatomic Physics Research
- Quantum Computing Algorithms and Architecture
- Quantum chaos and dynamical systems
- Cold Atom Physics and Bose-Einstein Condensates
- Quantum optics and atomic interactions
- Quantum many-body systems
University of Kentucky
2021-2022
We study the ground state of a system with an interface between $\ensuremath{\nu}=4$ and $\ensuremath{\nu}=3$ in quantum Hall regime. Far from interface, for range interaction strengths, region is fully polarized but unpolarized. Upon varying strength interactions width chooses one two distinct edge/interface phases. In phase $A$, stabilized wide interfaces, spin good number, there are no gapless long-wavelength fluctuations. $B$, narrow symmetry spontaneously broken at Hartree-Fock level....
In the recent advancement in graphene heterostructures, it is possible to create a double-layer tunnel decoupled system that has strong interlayer electronic interaction. this work, we restrict parameters low energy effective Hamiltonian using simple symmetry arguments. Then, study ground state of Hartree-Fock approximation at ${\ensuremath{\nu}}_{1}^{}={\ensuremath{\nu}}_{2}^{}=0$. addition phases found monolayer graphene, an existence layer-coherent phase which breaks layer $U(1)$...