- Physics of Superconductivity and Magnetism
- Rare-earth and actinide compounds
- Quantum and electron transport phenomena
- Advanced Condensed Matter Physics
- Marine and fisheries research
- Coral and Marine Ecosystems Studies
- Marine and coastal plant biology
- Quantum many-body systems
- Thermodynamic and Structural Properties of Metals and Alloys
- Quantum Mechanics and Non-Hermitian Physics
- Quantum chaos and dynamical systems
- Electronic and Structural Properties of Oxides
- Theoretical and Computational Physics
- Iron-based superconductors research
- Cold Atom Physics and Bose-Einstein Condensates
- Religion, Society, and Development
- Quantum, superfluid, helium dynamics
- Foucault, Power, and Ethics
- Advanced Materials Characterization Techniques
- Algebraic structures and combinatorial models
- Pentecostalism and Christianity Studies
University of Toronto
2021-2024
Great Barrier Reef Marine Park Authority
2020
Non-Hermitian physics in open quantum many-body systems provides novel opportunities for the discovery of exotic phenomena unexpected Hermitian systems. A previous study non-Hermitian Kondo problem ultracold atoms reports reversion renormalization group flows which violates $g$ theorem and produces an unusual phase transition. In this work, we effect electron-electron interactions by considering a Luttinger liquid. By performing perturbative analysis to two-loop order, find that interplay...
The triangular lattice Hubbard model at strong coupling, whose effective spin contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of hopping $t$ to on-site Coulomb repulsion $U$ is tuned. This includes chiral liquid (CSL) phase. Nevertheless, this exotic remains challenging realize experimentally because given material has fixed value $t/U$, which difficult tune with external stimuli. One approach address problem applying dc electric field,...
The corallivorous crown-of-thorns starfish (Acanthaster spp.) is a major cause of coral mortality on Indo-Pacific reefs. Despite considerable research into the biology starfish, our understanding early post-settlement life stage has been hindered by small size and cryptic nature recently settled individuals. Most growth rates are derived from either laboratory studies or field conducted in Fiji Japan. Great Barrier Reef (GBR) currently experiencing its fourth recorded outbreak population...
Recently it was shown that the multipolar Kondo problem, wherein a quantum impurity carrying higher-rank moments interacts with conduction electrons, leads to novel non-Fermi liquid states. Because of character local moments, form interaction electrons is strongly dependent on orbital-symmetry via crystalline symmetry constraints. This suggests there may exist variety different states in generic problems depending electrons. In this work, using renormalization group analysis, we investigate...
Notable non-Fermi liquid and quantum critical behaviors are observed in rare-earth metallic systems with non-Kramers local moments supporting a number of different multipolar moments. A prominent example is $\text{Pr(Ti,V)}_{2}\text{Al}_{20}$, where the doublet $\text{Pr}^{3+}$ ion allows quadrupolar octupolar moments, but lacks dipolar moment. Previous theoretical studies show that single impurity Kondo problem such an unusual moment leads to novel states. In this work, we investigate...
The weak Mott insulating regime of the triangular lattice Hubbard model exhibits a rich magnetic phase diagram as result ring exchange interaction in spin Hamiltonian. These phases include Kalmeyer-Laughlin type chiral liquid (CSL) and valence bond solid (VBS). A natural question arises regarding robustness these presence spin-orbit coupling (SOC). In this study, we derive effective for coupled insulting regime, including all SOC-mediated spin-bilinears ring-exchange interactions. We then...
The weak Mott insulating regime of the triangular lattice Hubbard model exhibits a rich magnetic phase diagram as result ring exchange interaction in spin Hamiltonian. These phases include Kalmeyer-Laughlin type chiral liquid (CSL) and valence bond solid (VBS). A natural question arises regarding robustness these presence spin-orbit coupling (SOC). In this study, we derive effective for coupled insulting regime, including all SOC-mediated spin-bilinear ring-exchange interactions. We then...
Non-Hermitian physics in open quantum many-body systems provides novel opportunities for the discovery of exotic phenomena unexpected Hermitian systems. A previous study non-Hermitian Kondo problem ultracold atoms reports reversion renormalization group flows which violates $g$ theorem and produces an unusual phase transition. In this work, we effect electron-electron interactions by considering a Luttinger liquid. By performing perturbative analysis to two-loop order, find that interplay...
Classification and understanding of quantum phase transitions critical phenomena in itinerant electron systems are outstanding questions materials research. Recent experiments on heavy fermion with higher-rank multipolar local moments provide a new platform to study such questions. In particular, $\text{Ce}_{3}\text{Pd}_{20}\text{(Si,Ge)}_{6}$ show novel behaviors via two consecutive magnetic field-driven transitions. At each transition, the derivative Hall resistivity jumps discontinuously,...
The multipolar Kondo problem, wherein the quantum impurity carries higher-rank moments, has seen recent theoretical and experimental interest due to proposals of novel non-Fermi liquid states availability a variety material platforms. nature local in conjunction with constraining crystal field symmetries, leads vast array possible interactions resulting ground states. Previous works on physics have typically focussed impurities that two degenerate internal In this work, inspired by...
The triangular lattice Hubbard model at strong coupling, whose effective spin contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of hopping $t$ to onsite Coulomb repulsion $U$ is tuned. This includes chiral liquid (CSL) phase. Nevertheless, this exotic remains challenging realize experimentally because given material has fixed value $t/U$ that can difficultly be tuned with external stimuli. One approach address problem applying DC electric...
Classification and understanding of quantum phase transitions critical phenomena in itinerant electron systems are outstanding questions materials research. Recent experiments on heavy fermion with higher-rank multipolar local moments provide a new platform to study such questions. In particular, $\text{Ce}_{3}\text{Pd}_{20}\text{(Si,Ge)}_{6}$ show novel behaviors via two consecutive magnetic field-driven transitions. At each transition, the derivative Hall resistivity jumps discontinuously,...
Notable non-Fermi liquid and quantum critical behaviors are observed in rare-earth metallic systems with non-Kramers local moments supporting a number of different multipolar moments. A prominent example is $\text{Pr(Ti,V)}_{2}\text{Al}_{20}$, where the doublet $\text{Pr}^{3+}$ ion allows quadrupolar octupolar moments, but lacks dipolar moment. Previous theoretical studies show that single impurity Kondo problem such an unusual moment leads to novel states. In this work, we investigate...