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Showing 1 to 7 of 7 for “"Tomonaga-Luttinger liquid"”.
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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 …
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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 …
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Correlated dynamics of quantum wires and cigar shaped atomic gases
… the 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 …
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Aspects of critical spin 1 chains and 2 dimensional symmetry protected topological phases of matter
… method gives 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 …
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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, …
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Semiconductor nanodevices as a probe of strong electron correlations
… is captured 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, …
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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 …