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 20 of 28 for “"Topological phases of matter"”.
-
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, …
-
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 …
-
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
-
Applications of conformal field theories in topological phases of matter
This dissertation discusses some applications 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 …
-
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 …
-
Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… We use this approach to study a certain 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 …
-
Topological materials and quantum entanglement
As the title implies, this thesis consists of two main topics: materials which realize topological phases of matter and applications of the concept of entanglement in understanding topological phases and their transitions. The first part will focus on a particular class of materials called …
-
Explorations in two dimensional strongly correlated quantum matter: from exactly solvable models to conformal bootstrap
… presents two projects that touch upon 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 …
-
Aspects of symplectic dynamics and topology: gauge anomalies, chiral kinetic theory and transfer matrices
… presents some work on two quite disparate kinds of dynamical systems described by Hamiltonian dynamics. The first part describes a computation of gauge anomalies and their macroscopic effects in a semiclassical picture. The geometric (symplectic) formulation of classical mechanics is used to …
-
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 …
-
Crystalline Topological Invariants in Invertible Fermionic States and Fractional Chern Insulators
Topological phases of matter have long been a central theme in condensed matter physics. When subject to certain symmetries, these phases are classified by topological invariants that often take fractional, quantized values. Despite significant theoretical advancements, major open questions remain …
-
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
-
Strong zero Modes in Generalized Spin chains and Topological Quantum Computation
Part of the interest in topological phases of matter stems from their potentially revolutionary technological applications. One of the most exciting possibilities would be the ability to store and manipulate quantum information in topological degrees of freedom. This information would be …
-
An algebro-geometric study of two models of quantum computaiton
We investigate geometric aspects of two models of quantum computation: starting with i. the computational complexity of the particle excitations of topological phases of matter in the restricted model of a Topological Quantum Field Theory in the sense of Turaev before leading to ii. where in …
-
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 …
-
Computational electronic structure studies of novel condensed matter phases
This dissertation compiles the bulk of my work as a PhD student in the research group of Professor Prashant K. Jain at University of Illinois at Urbana-Champaign. My research was exclusively in the field of theoretical chemistry and materials science: I employed high-performance computing tools to …
-
Examining Topological Insulators and Topological Semimetals Using First Principles Calculations
The importance and promise that topological materials hold has been recently underscored by the award of the Nobel Prize in Physics in 2016 ``for theoretical discoveries of topological phase transitions and topological phases of matter." This dissertation explores the novel qualities and useful …
-
Dynamical Aspects of Topological Quantum Systems
Topological phases of matter are understood to be characterized by particular configurations of entanglement encoded within the ground states of many-body quantum systems. In this thesis, we discuss how novel phenomena associated with topological phases can arise in systems that are driven out of …
-
QUANTUM SIMULATION OF BOSONIC SYSTEM AND APPLICATION OF MACHINE LEARNING
First, we introduce the notion of "generalized bosons," whose exchange statistics resemble those of bosons, but the local bosonic commutator $[a_i,a_i^{\dagger}]=1$ is replaced by an arbitrary single-mode operator that is diagonal in the generalized Fock basis. Examples of generalized bosons …
-
Rotational Symmetry and Phase Dynamics in Topological Superconductors
Topological superconductors are phases of matter that cannot be adiabatically connected to a trivial superconductor without closing the bulk gap or breaking some fundamental symmetry. Intimately tied to topological superconductors are Majorana bound states. These are neutral zero-energy …
Page 1 of 2