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 10 of 10 for “"Symmetry-protected topological phases"”.
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Symmetry-protected topological phases and quantum anomalies
We present 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, …
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Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… class of critical 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 …
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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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Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter
This thesis is an investigation of various topological properties of 3 + 1 dimensional Bosonic gapped phases of matter. We divide our study into two main themes, the first involving short-range entangled phases with global symmetries also known as symmetry protected topological phases and the …
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Explorations in two dimensional strongly correlated quantum matter: from exactly solvable models to conformal bootstrap
… the role of quantum mechanics in classifying phases of matter and their transitions. In the first project, we set out to answer: is it possible to find a lattice model in the Ising universality class that realizes the Kramers Wannier symmetry in such a way that it squares to 1, rather than a …
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Invertible Functorial Field Theory for Symmetry Breaking and Interactions in Quantum Field Theory
… related processes around a form of spontaneous symmetry breaking via a charged order parameter using a twisted Gysin sequence of Anderson-dual bordism groups. We study the Smith maps of Madsen-Tillmann spectra that underlie the sequence, collecting examples and cataloging periodicities. Finally, …
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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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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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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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Conformal Boundaries, SPTs, and the Monopole-Fermion Problem
… 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 states for 2d fermions preserving chiral symmetries. Our main motivation is the question of defining magnetic line operators in …