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 9 of 9 for “"SPT phases"”.
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Entangling symmetry and topology in correlated electrons
… matter named Symmetry-Protected Topological (SPT) phases. These are short-range-entangled quantum phases hosting non-trivial states on their boundaries. In the free-fermion limit, they are famously known as Topological Insulators (TI). Huge progress has been made recently in understanding SPT …
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Symmetry-protected topological phases and quantum anomalies
… 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 discrete …
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Applications of conformal field theories in topological phases of matter
… 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 states with …
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Numerical methods of characterizing symmetry protected topological states in one dimension
… one dimensional symmetry protected topological (SPT) phases. We focus on the density matrix renormalization group (DMRG) methods and explore the machine learning methods. We investigated different SPT phases in the context of interactions and disorders. The application of machine learning methods …
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Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… 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 behaviour of …
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Conformal Boundaries, SPTs, and the Monopole-Fermion Problem
… as well as to symmetry-protected topological phases in two and three dimensions. We begin by motivating the study of conformal boundary states for 2d fermions preserving chiral symmetries. Our main motivation is the question of defining magnetic line operators in 4d chiral gauge theories. Such …
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QUANTUM SIMULATION OF BOSONIC SYSTEM AND APPLICATION OF MACHINE LEARNING
… entanglement Hamiltonian of certain topological phases of matter described by CFTs. Remarkably, we achieve high prediction accuracy by only using the lowest few Rényi entropies as the input. Finally, using autoencoders, an unsupervised learning algorithm, we find a hidden variable that has a …
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Chiral Phases on the Lattice
… thesis, we use the connection between chiral phases of matter and chiral quantum field theories (QFTs) to define chiral QFTs on a lattice and allow a huge class of exotic field theories to be simulated numerically. Our work builds on the ‘mirror fermion’ approach to the problem of defining …
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Geometric and electromagnetic response and anomalies in topological phases of matter
… 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 …