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 5 of 5 for “"fractional Chern insulators"”.
-
Crystalline Topological Invariants in Invertible Fermionic States and Fractional Chern Insulators
… by topological invariants that often take fractional, quantized values. Despite significant theoretical advancements, major open questions remain regarding the computation of these invariants in Chern insulators or fractional Chern insulators with crystalline symmetry. The first part of …
-
Stability of Topological States and Crystalline Solids
… solids. We start with the stability of fractional quantum Hall states on a lattice, known as fractional Chern insulators. We investigate, using exact diagonalization, fractional Chern insulators in higher Chern bands of the Harper-Hofstadter model, and examine the robustness of their …
-
Hofstadter Physics and Composite Fermionic Phase in Moiré Systems
… fermions, particularly in the context of the fractional quantum Hall effect (FQHE). We extend Jain’s composite fermion theory and the Chern-Simons field theory to Moiré TMD systems, proposing the existence of an anomalous composite fermion liquid state at half-filling. Through a detailed …
-
New perspectives on fractional quantum Hall physics
… having been discovered nearly four decades ago, fractional quantum Hall (FQH) states continue to provide platforms for the discovery of novel physical phenomena. In this thesis, I present a study of these remarkable phases of matter from three perspectives: (1) the role of an underlying lattice …
-
Exact diagonalization study of strongly correlated topological quantum states
… can exist in quantum systems. For example, the fractional quantum Hall states have persistent topological characteristics that derive from strong interaction. This thesis uses the exact diagonalization method to investigate quantum lattice models with strong interaction. Our research topics …