Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Boundary States"”.
-
Conformal Boundaries, SPTs, and the Monopole-Fermion Problem
This thesis studies boundary states in spin conformal field theories in two dimensions, and their connection to the monopole-fermion problem in four dimensions, as well as to symmetry-protected topological phases in two and three dimensions. We begin by motivating the study of conformal boundary …
-
Topological materials and quantum entanglement
… (TCI), which are bulk insulators with metallic boundary states protected by crystal mirror symmetries. The realization of TCIs in the SnTe class of materials and the anti-perovskite family will be described. The second part will focus on using entanglement notions to probe a topological phase …
-
Design and experimental observation of topological states in photonic metasurfaces
… were able to visualize higher-order topological states, confined in 1D (edge states) and even 0D (corner states), at optical frequencies. These states are potentially interesting for applications such as trapping of light or lasing via integration with active materials, e.g., perovskite …
-
Aspects of symplectic dynamics and topology: gauge anomalies, chiral kinetic theory and transfer matrices
… The topological invariants associated with the boundary states are interpreted as winding numbers for windings around noncontractible loops on a Riemann sheet constructed using the algebraic structure of the transfer matrices, as well as with a Maslov index on a symplectic group manifold, which …
-
Symmetry-protected topological phases and quantum anomalies
… topological (SPT) phases and their anomalous boundary states, based on examples in various spacetime dimensions. Through the study of the effect of interactions on these SPT phases, we discovered a new formalism of quantum anomalies, associated with discrete spacetime (such as time-reversal …
-
Higher-order topological phases with crystalline symmetries
… first discovered HOTI, displays gapless corner states and quantized 1/2 electronic charge localized at the corners of the lattice. The topologies in HOTIs are usually protected by crystalline symmetries. In this dissertation, we systematically study the charge fractionalization in 2D HOTIs under …
-
Applications of conformal field theories in topological phases of matter
… correlated electronic integer quantum Hall states with filling factor 16. The edge state is a bosonic chiral (E8)1 CFT, which is closely related to topological paramagnets in (3+1)d. As a distinguishing feature, these states support electric and thermal Hall transport violating the …
-
Angle-resolved photoemission studies of topological thin films and superconducting heterostructures
… to the presence of unusually robust, conducting boundary states in these systems. Their unique bulk electronic band structures in tandem with these topologically protected states allows these materials to potentially display many fascinating physical properties, including the quantum anomalous …