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 23 for “"luttinger liquid"”.
-
Luttinger Liquid Behavior in Low-Dimensional Systems
Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Rachelle Ramer (rramer2@illinois.edu) on 2012-05-17T17:43:36Z Item is restricted indefinitely.
-
Quantum Hall Tunnel Junctions: Luttinger Liquid Physics, Quantum Coherence Effect and Fractional Quantum Numbers
Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-10-23T18:51:21Z No. of bitstreams: 1 Kim_EunAh.pdf: 1380167 bytes, checksum: ab1df1bef794c23bd5fbb9cd2183882e (MD5)
-
One-dimensional bosonization approach to higher dimensions
… The approach predicts the failure of Fermi liquid and an absence of long-range order in one-dimensions. The low-energy description of one-dimensional interacting systems is called the Tomonaga-Luttinger liquid theory. For example, the edges of quantum Hall systems are one-dimensional and …
-
Measurement of electron-electron interactions in one dimension with tunnelling spectroscopy
… behaviour of fermions is described by the Fermi liquid model, whose most prominent result is that, instead of studying the behaviour of individual particles, it is better to describe the emergent phenomena of the whole system, known as quasiparticles. These are collective modes of excitations …
-
Linear and nonlinear edge dynamics and quasiparticle excitations in fractional quantum Hall systems
… which presents a brief overview on the chiral Luttinger liquid theory. In the second part of this thesis we instead proceed to present our original results. In the fifth chapter we numerically study the linear and non-linear dynamics of the chiral gapless edge modes of fractional quantum Hall …
-
Zigzag Phase Transition in Quantum Wires and Localization in the Inhomogeneous One-Dimensional Electron Gas
… the homogeneous 1D electron gas is described by Luttinger Liquid theory. We use Quantum Monte Carlo methods to study two situations that are beyond Luttinger Liquid theory --- the quantum phase transition from a linear 1D electron system to a quasi-1D zigzag arrangement, and electron localization …
-
Collective excitations in low dimensional systems and stochastic control of population growth in a fluctuating environment
… of a fermionic system, which is described by Luttinger liquid theory. The unified theory of collective excitations of low dimensional quantum systems motivates my study of collective excitations of interacting classical particles confined in one dimension. It is shown in my paper that the …
-
Phase transitions and symmetry breaking in disordered quantum Hall edge states
… hierarchy state is studied within the chiral-Luttinger-liquid model of low-energy edge dynamics. Adding random hopping of quasiparticles between edge modes results in "symmetry restoration by disorder" and universal weak tunneling behavior in edges with modes traveling in both directions. We …
-
Numerical and Analytical Methods in Low-Dimensional Strongly Correlated Quantum Systems
… Specifically, the transition from a 1D Luttinger liquid to a charge density wave insulator, characterized by partly Kosterlitz-Thouless transition and partly Ising transition, is analyzed using both analytical renormalization group calculations and numerical density matrix …
-
Microscopic computations in the fractional quantum hall effect
… theories are usually employed such as the chiral Luttinger liquid system. In this thesis the Monte Carlo method is used for Laughlin-type quantum Hall systems to compute microscopic observables. In particular such computations are carried out for the large system size expansion of the free energy. …
-
Metallic Ground State of Functionalized Carbon Nanotubes
… effective mass), as described in Landau's Fermi liquid theory. One-dimensional metals are influenced to a greater extent by interactions. In fact, the Landau-quasiparticle picture breaks down due to the Peierls instability. Instead, one-dimensional metals are described by Tomonaga-Luttinger …
-
Dynamical correlations of S=1/2 quantum spin chains
… phase which is a realization of a Luttinger liquid. While many static properties of spin-1/2 chains have been explained by combinations of analytical techniques such as bosonization and Bethe ansatz, the standard approach fails in the calculation of some time-dependent correlation …
-
Application of quantum Monte Carlo methods to excitonic and electronic systems
… and ferromagnetic systems. We have extracted the Luttinger liquid exponent from our MDs by fitting to data around the Fermi wave vector, finding good agreement between the exponents of the ferromagnetic infinitely-thin and harmonic wires.
-
Exploring the interplay between topological order, magnetism and superconductivity
… Also we provide some basic formulas in Luttinger liquid theory, which will be used heavily in this thesis. Chapter 3 presents different phases we discovered in 2D topological insulators. We explore the phases exhibited by an interacting quantum spin Hall edge state in the presence of …
-
Correlated dynamics of quantum wires and cigar shaped atomic gases
… elementary excitations,as predicted by Tomonaga- Luttinger liquid (TLL) theory, are spin and charge density waves, traveling at different velocities (the spin velocity is smaller, the charge velocity greater than the Fermi velocity). These velocities are parameters of <br>the TLL theory and there …
-
Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… a formula for the evolution of four Tomonaga-Luttinger liquid (TLL) parameters as a function of the lattice parameters. Using the analytic formulae for the scaling dimensions in terms of the TLL parameters and matching of lowest scaling dimensions, we numerically calculate these …
-
Electron Transport through Carbon Nanotube Quantum Dots in A Dissipative Environment
… our setup emulates tunneling in a Luttinger liquid (LL), an interacting one-dimensional electron system, that is distinct from the conventional Fermi liquids formed by electrons in two and three dimensions. Some of the most spectacular properties of LL are revealed in the process of …
-
Strong correlations and topological order in one-dimensional systems
… 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 p-wave superconductor subject to periodic, …
-
Tunneling spectroscopy of carbon nanostructures: a romance in many dimensions
… is consistent with a clean, strongly interacting Luttinger liquid. In addition, we discuss two ways we are working to extend this powerful technique. We also present results of superconducting tunneling spectroscopy of a clean carbon nanotube quantum dot. We are able to characterize the energy …
-
Semiconductor nanodevices as a probe of strong electron correlations
… well at low energies by the linear Tomonaga- Luttinger Liquid (TLL) model, with hallmark predictions, such as spin-charge separation, having already been observed. Recent theoretical work has focused on extending the theory to deal with more realistic curved dispersions. However, experimental …
Page 1 of 2