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 21 for “"Bosonization"”.
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Bosonization and the many-body problem
In this thesis the method of bosonization of fermionic many-body systems in any number of dimensions is developed. After an introduction to the problem in chapter 1 and to the method of bosonization in chapter 2 (with its application to the non-interacting problem) the Fermi liquid behavior of …
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Bosonization in 1 + 1/2 dimensions
In this thesis we derive a set of bosonization rules for the problem of a fermionic interacting system living on the half line coupled to a quantum degree of freedom at a boundary. This is an appropriate model to describe the physics of an electronic system in quantum wires with impurities. First …
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One-dimensional bosonization approach to higher dimensions
… electron systems can be studied within the bosonization technique, which presents fermions as collective bosonic density excitations. The power of this approach is the ability to treat electron-electron interaction exactly in the low-energy limit. The approach predicts the failure of Fermi …
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Symmetry breaking in the Hubbard model : a bosonization approach
Almost all known high temperature superconductors are cuprates, which can be suitably modelled by the two dimensional Hubbard model. To understand the interplay of various long range properties as antiferromagnetism and superconductivity, one can calculate the phase diagram of the Hubbard model in …
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Non-perturbative approaches to strongly correlated electron systems
… electronic system: 1.) multi-dimensional bosonization and 2.) the AdS/CFT correspondence. Multidimensional bosonization is the generalization of bosonization to spatial dimensions larger than one. The bosonized theory is an effective field theory in terms of the bosonic particle-hole …
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Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… chain with additional interactions. We use bosonization to demonstrate that the effective field theories describing the critical behaviour of these spin chains can be mapped to free compact boson conformal field theories (CFTs) with central charge c=2. We also describe how some predictions …
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Electromagnetic response of time-reversal breaking metallic phases in two dimensions
… by using the method of higher dimensional bosonization. Mean-field calculations show that the order parameter is two two-component real vectors [Sun and Fradkin 2008]. There are two phases: the beta phase in which the two order parameters are perpendicular and the alpha phase in which they …
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BPS Approaches to Anyons, Quantum Hall States and Quantum Gravity
… violations, and test some recently proposed bosonization dualities. Secondly, we turn on a chemical potential and break conformal invariance, putting the theory into the regime of the Fractional Quantum Hall Effect (FQHE). This is illustrated in detail: the theory supports would-be BPS …
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Exotic phases and quantum criticality in gapless correlated electron systems
… the large-N and related expansions, dualities, bosonization and slave-particle constructions.
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Strongly Correlated Electronic Matter: Phases and their Transport
… work we were able to support this with an exact bosonization treatment in the quasi-one dimensional setting. Finally, we have recently considered the possibility of an intervening topological phase where a gap opens, but translation symmetry remains unbroken. In doing so we formalized the concept …
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Coulomb Correlations in Equilibrium and Nonequilibrium Many -Fermion Systems
… have developed a new nonpertubative tool called bosonization and applied it to study the all-important question at the frontier of Condensed Matter Theory namely when does Fermi liquid theory break down and when it does what new physical principles need to be invoked in order to understand …
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Directed-polymer systems explored via their quantum analogs
… quantum techniques such as Bethe's Ansatz and bosonization to shed light on the structure of the polymer system. These techniques allow us to examine how polymer system correlations, thermodynamic properties, and response to impurities are influenced by strong polymer-polymer interactions. In …
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Coulomb correlations in equilibrium and nonequilibrium many-Fermion systems
… have developed a new nonpertubative tool called bosonization and applied it to study the all-important question at the frontier of Condensed Matter Theory namely when does Fermi liquid theory break down and when it does what new physical principles need to be invoked in order to understand …
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Effective Actions for Strongly Interacting Fermionic Systems
… fields treated on equal footing. Yet, ``partial bosonization'' introduces an arbitrariness as the choice for the composite fields is usually not completely determined by the classical action. Results of approximate calculations, e.g. mean field theory, may depend strongly on this choice, thus …
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Dynamical correlations of S=1/2 quantum spin chains
… by combinations of analytical techniques such as bosonization and Bethe ansatz, the standard approach fails in the calculation of some time-dependent correlation functions. I present a study of the longitudinal dynamical structure factor for the XXZ model in the critical regime. I show that an …
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Majorana qubits in non-Abelian topological superconductors
… the low-energy effective field theory using bosonization techniques. We find that although the whole spectrum is gapless, one can identify degeneracies of low-energy states resulting from Majorana edge modes. In the presence of certain impurity scatterings, we show that the splitting of the …
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Coupled one dimensional electron systems and stripe phases of high temperature superconductors
… with quasi long range order. By making use of bosonization and the renormalization group, the phase diagram of the spin-gapped regime has been determined and the quantum phase transitions therein has been discussed. The phase boundary between PDW and the uniform SC ordered phases is found to be …
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Few- and many-body physics of dipoles in ion traps and optical lattice simulators
… we use a novel multiworm algorithm, along with bosonization, to study the ground-state phase diagram of bosons trapped in a stack of one-dimensional tubes. We study two different inter-particle interactions. First, we consider nearest-neighbor attractive interactions between the layers, and set …
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Pair density wave superconducting states and statistical mechanics of dimers
… cannot be applied to study this state. We use bosonization to show that the 1D PDW state has a MZM at a boundary. This superconducting state is an exotic topological phase supporting Majorana fermions with finite-momentum pairing fields and charge-4e superconductivity. In chapter 4 we provide a …
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Topological phases of matter
… for the topological insulators by functional bosonization. Such formulation is robust against interaction. In addition, by suitably incorporating electron interactions, we predict new topological phases, called the fractional topological insulators. Besides, the surface theory of topological …
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