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.
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Showing 1 to 20 of 70 for “"Topological phases"”.
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Topological phases of matter
Topological phases are gapped quantum phases of matter classified beyond the paradigm of Landau's symmetry breaking theory. In particular, topologically ordered phases are topological phases with topological order. Unlike the conventional symmetry-breaking order described by local order parameter, …
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Topological phases in narrow-band systems
I discuss several novel topological phases in correlated electron systems, realized through spin-orbit interactions and lattice effects especially narrow-band systems. The first realizes the fractional quantum Hall effect using geometric frustration and ferromagnetism to obtain a nearly flat band …
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Higher-order topological phases with crystalline symmetries
Topological insulators (TIs) that are insulating in the bulk but conducting at surfaces have been thoroughly studied for decades. Recently, a new class of TIs, dubbed the higher-order topological insulator (HOTI), has been discovered. Unlike conventional TIs, it is gapped at the boundaries but host …
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Symmetry-protected topological phases and quantum anomalies
… the correspondence between symmetry-protected 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 …
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Quantum Transport in Topological Phases of Matter
Topological phases of matter attract constant attention in the condensed matter physics community, both due to the fundamental yet simple principles that govern them, and a multitude of experimental observations with the potential for technological applications. Among the ways of studying such …
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Geometry-charge responses in topological phases of matter
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Geometric response in topological phases and exotic classical fluids
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling
The study of topological phases of matter has attracted much attention recently, providing a promising route to understanding the classification of various phases in condensed matter physics. The Iridates, which are Iridium-based compounds, have already shown rich physical phenomena and can be a …
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Applications of conformal field theories in topological phases of matter
… of conformal field theories (CFTs) in topological phases of matter. The first part is devoted to a discussion of coupled wire constructions of some novel quantum Hall systems. Through a theoretical coupled wire model, we construct strongly correlated electronic integer quantum Hall …
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String-net condensation and topological phases in quantum spin systems
… symmetry breaking could describe essentially all phases and phase transitions. However, in the last twenty years, it has become clear that at zero temperature, quantum mechanics allows for the possibility of new phases of matter beyond the Landau paradigm. In this thesis, we develop a general …
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Geometric and electromagnetic response and anomalies in topological phases of matter
In this thesis we characterize various topological phases of matter by studying their response to external perturbations. In the first half of the thesis we study incompressible fluid phases with odd, or Hall, viscosity. This kind of viscosity was originally discovered in quantum Hall fluids, where …
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Electric multipole moments and higher-order topological phases in crystalline insulators and superconductors
… bands in crystalline insulators have Berry phases associated with the positions of electronic charge is at the basis of our understanding of topological band theory. We show, by using the Berry phase formulation and generalizations of it, as well as by exact diagonalization of tight-binding …
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Two studies on the interplay between topological phases, robust edge states and bosonic excitations
Esta tesis está compuesta por dos partes. En la parte I estudiamos el rol de la topología en la propagación de luz cuántica por una red fotónica con orden topológico no trivial. Nos enfocamos en el comportamiento de estados comprimidos de luz propagándose por un arreglo de guía de ondas …
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Crystalline topological phases: Bulk-boundary correspondence, geometric response, entanglement, and non-Hermitian skin effect
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter
… in the quantum Hall effect. Majorana modes in topological superconductors are of fundamental importance as realizations of real solutions to the Dirac equation and for their anyonic exchange statistics. They are realised as zero energy edge modes in one-dimensional topological superconductors, …
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Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… quantum spin-1 chains and symmetry protected topological phases of matter in two spatial dimensions. In the first context we consider the SU(3) symmetric spin-1 chain with additional interactions. We use bosonization to demonstrate that the effective field theories describing the critical …
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Investigating Topological Quantum Matter: Machine Learning Topological Phases, Topological Quantum Codes, Interplay of Disorder and Topology via Transport Phenomena and Phase Transitions
… exact values and 99.8% overlap on the smallest topological lattice (3 ×3), mapping out the optimal hidden-unit density α. Updating RBM weights according to spin-rotation strings lets us create, move, and fuse vortex pairs; resulting plaquette values and energy gaps match the Majorana solution. …
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Numerical Investigation of Exotic Phases in Quantum Lattice Models
… this code has been the investigation of exotic phases in quantum lattice models, and in particular of topological phases. A signi�cant portion of the thesis concerns the investigation of supersymmetric lattice models, which involves signi�cant use of the developed DoQO code. These are a …
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Topological semimetals and nodal superconductors
Besides topological band insulators, which have a full bulk gap, there are also gapless phases of matter that belong to the broad class of topological materials, such as topological semimetals and nodal superconductors. We systematically study these gapless topological phases described by the Bloch …
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