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arXiv:cond-mat/9603106

Conductance of Luttinger-Liquid Wires Connected to Reservoirs

Dmitrii L. Maslov, Stone, Michael

Published Mar 15, 1996• 1 citation
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Abstract

These are the lecture notes to be published in the Proceedings of XXXI Rencontres de Moriond conference ``Correlated Fermions and Transport in Mesoscopic Systems'', (20-27 January 1996, Les Arcs, France). The notes are based on two recent papers [D L. Maslov and M. Stone, Phys. Rev. B 52, R5539 (1995), and D. L. Maslov, ibid., R14368 (1995)].

DOI
10.48550/arxiv.cond-mat/9603106

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These are the lecture notes to be published in the Proceedings of XXXI Rencontres de Moriond conference ``Correlated Fermions and Transport in Mesoscopic Systems'', (20-27 January 1996, Les Arcs, France). The notes are based on two recent papers [D L. Maslov and M. Stone, Phys. Rev. B 52, R5539 (1995), and D. L. Maslov, ibid., R14368 (1995)].
Thermal transport through one-dimensional systems of strongly interacting electrons is studied in two cases: (i) a finite Luttinger liquid (LL) wire containing a strong impurity, and (ii) a LL ring connected by quantum wires to noninteracting electron reservoirs. It is shown that, for (i), a temperature-induced resonant transport takes place under certain conditions. In case (ii) the heat conductance under resonance conditions does not depend on the electron-electron interaction and the system thermal conductance coincides with the maximal Fermi-liquid thermal value.
In a previous paper [Bischoff and Jeckelmann, Phys. Rev. B 96, 195111 (2017)] we introduced a density-matrix renormalization group method for calculating the linear conductance of one-dimensional correlated quantum systems and demonstrated it on homogeneous spinless fermion chains with impurities. Here we present extensions of this method to inhomogeneous systems, models with phonons, and the spin conductance of electronic models. The method is applied to a spinless fermion wire-lead model, the homogeneous spinless Holstein model, and the Hubbard model. Its capabilities are demonstrated by comparison with the predictions of Luttinger liquid theory combined with Bethe ansatz solutions and other numerical methods. We find a complex behavior for quantum wires coupled to interacting leads when the sign of the interaction (repulsive/attractive) differs in the wire and leads. The renormalization of the conductance given by the Luttinger parameter in purely fermionic systems is shown to remain valid in the Luttinger liquid phase of the Holstein model with phononic degrees of freedom.
We discuss the testing of the Standard Model of CP violation, and the search for CP-violating effects from beyond the Standard Model, in BBB decays. We then focus on the quantum mechanics of the experiments on CP violation to be performed at BBB factories. These experiments will involve very pretty Einstein-Podolsky-Rosen correlations. We show that the physics of these experiments can be understood without invoking the ``collapse of the wave function," and without the mysteries that sometimes accompany discussions of EPR effects. (To appear in the Proceedings of the Moriond Workshop on Electroweak Interactions and Unified Theories, Les Arcs, France, March 1995)