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 34 for “"topological order"”.
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Topological order in the fractional quantum Hall states
… focused on the theoretical characterization of topological order in non-Abelian fractional quantum Hall (FQH) states. The first part of the thesis is concerned with the ideal wave function approach to FQH states, where the idea is to try to obtain model wave functions and model Hamiltonians for …
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Exploring the interplay between topological order, magnetism and superconductivity
This thesis presents a theoretical study of topological insulators coupled with superconductor and magnet. We discuss different physics due to these novel couplings and the topological properties. Chapter 2 describes the background of the research projects. We present different Quantum Hall …
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Strong correlations and topological order in one-dimensional systems
… of strongly correlated systems as well as topologically ordered systems in 1D. Non-Fermi liquid behavior characteristic of interacting 1D electron systems is investigated with an emphasis on experimentally relevant setups and observables. The existence of end Majorana fermions in a 1D …
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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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Graph Representation of Topological Stabilizer States
Topological quantum states, especially these in topological stabilizer quantum error correction codes, are currently the focus of intense activity because of their potential for fault-tolerant operations. While every stabilizer state maps to a graph state under local Clifford operations, the graphs …
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Anyonic symmetry and twist defects
… after because of the promise they hold for topological quantum computation. However, in spite of many proposals of systems in which they can occur intrinsically, observation has proved to be elusive. In this thesis, we study ways in which we can engineer such excitations by combining two …
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Quantum Matter in the Era of Generalized Symmetries
… between (generalized) symmetries and topological orders, called the Sym/TO correspondence. For any (finite internal) symmetry of a quantum system in d (spatial) dimensions, we associate with it a unique topological order in d + 1 dimensions, called its Symmetry Topological Order …
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Neutron scattering and magnetization studies of the spin correlations on the kagomé lattice antiferromagnet KFe₃(Oh)₆(SO₄)₂
… the Z2 symmetry, and the other corresponds to a topological order (BKT transition) due to vortex- antivortex binding. The former occurs at a slightly higher temperature than the latter. Neutron scattering measurements show a signature of the BKT transition, while specific heat measurements show a …
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Entangling symmetry and topology in correlated electrons
… exotic quantum 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 …
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Strongly Correlated Electronic Matter: Phases and their Transport
… considered the possibility of an intervening topological phase where a gap opens, but translation symmetry remains unbroken. In doing so we formalized the concept of a “minimal” topological order and proved a number of results about these. My research into transport in strongly correlated …
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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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Aspects of Moiré Quantum Matter
… Landau levels, and zero-field non-Abelian topological order. This thesis provides a framework for the study of the essential features of moiré quantum matter and demonstrates how moiré systems provide unprecedented opportunities to explore, design, and manipulate strongly correlated …
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Quantitative analysis of nanoscale order in amorphous materials by stem-mode fluctuation electron microscopy
… (FEM) is a statistical technique that measures topological order on the 1 – 3 nm length scale in amorphous materials. Extracting quantitative information about the nanoscale order from FEM data has been an on-going challenge due to issues both in experimental procedures, as well as in …
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Angle-resolved photoemission and first-principles studies of topological thin films
Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator but have protected conducting states on their edge or surface. The exotic electronic properties of topological materials are of great interest for spin-related electronics and quantum computation. …
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Density Matrix Renormalization Group Studies of Strongly Correlated Systems in Low Dimensions
… the Kondo lattice model we have found two charge-ordered phases in the doped regime which have not been found before. We also investigate the spin-$\frac{1}{2}$ XY model on the honeycomb lattice and identify a chiral spin liquid with additional chiral interactions. The chiral spin liquid has a …
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The Death of Quasiparticles: Strongly Interacting Gapless Phases with Fermi Surfaces and Fractional Statistics
… and superconductors to exotic insulators with topological order. In this thesis, I describe my research in gapless quantum phases in which the framework of quasiparticles breaks down. The main characters are two categories of gapless phases that feature the interplay between strong interactions …
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Topological Signatures for the Kitaev Chain in and out of Equilibrium
This thesis investigates aspects of the topological properties and non-equilibrium dynamics of one-dimensional quadratic fermionic systems, with a primary focus on the Kitaev chain and related lattice models. A unified theoretical framework is developed based on quadratic Hamiltonians, their …
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Probing Local Many-Body Dynamics with Random Quantum Circuits
… In addition, we consider models for classifying topological phases and characterizing the entanglement structure of quantum matter. In particular, we describe the immediate application of our above result to bounds on the detection of these phases. We then discuss the topological entanglement …
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Studying many-body physics through quantum coding theory
… that quantum phases are completely classified by topological characterizations of logical operators where topological quantum phase transitions are driven by non-analytical changes of geometric shapes of logical operators. As a consequence, we argue that topological order is unstable at any …
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Entanglement, topology, & renormalization
… of states. We begin this journey by focusing on topological quantum field theory in chapters 1 and 2. These chapters are based heavily upon the papers [1] and [2, 3], respectively. In the introduction to chapter 1 we take the opportunity to recall the definition of bipartite entanglement entropy …
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