Time-resolved transport properties of a Y junction of Tomonaga-Luttinger liquid wires

Abstract

We study time resolved transport properties of a Y -junction composed of interacting onedimensional quantum wires using a bosonization approach. In particular, we investigate the AC conductivity of the Y -junction formed from finite length Tomonaga-Luttinger liquid wires based on a plasmon scattering approach for injected charge pulses of arbitrary shapes. In addition, we calculate the tunneling current and quantum noise of the Y -junction arising from point-like tunneling impurities at the junction, including finite temperature effects. Our results will be useful for designing nano-electronic quantum circuits, and for interpreting time-resolved experiments [H. Kamata et. al., Nat. Nanotechnol. 9, 177 (2014)] in interacting wires and their junctions.

Enhancement of tunneling density of states at a Y junction of spin-12Tomonaga–Luttinger liquid wires

“…In this paper we explore the local single particle tunneling density of states (TDOS) at a junction of three spin full TLL wires, which can be experimentally probed in a scanning tunneling microscope (STM) experiment [20]. Such Y-junctions have already been realized experimentally in crossed single-walled carbon nanotubes [21 and 22], and have been explored very actively in the literature [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. The differential tunneling conductance of a STM tip maintained at a finite bias voltage with respect to the wire [see Fig.…”

Formation of a molecular ion by photoassociative Raman processes

“…However, for systems with weakly dipole allowed PA transitions, one can use the method of Feshbach resonance induced Fano effect in PA [54] to enhance or modify PA coupling [55] or to achieve Feshbach optimized PA [56] at low laser intensities. As a further study, one can consider twophoton Raman process involving a magnetic Feshbach-resonance induced structured continuum [57]. In such physical situations, it is possible to create a bound state in continuum that can be effectively decoupled from the continuum [58].…”

Emerging Majorana Modes in Junctions of One-Dimensional Spin Systems

“…In general, models of Y -junctions have been studied at the crossing of three, or more, Luttinger liquids, 61,[70][71][72][73][74][75][76][77][78] in Bose gases in star geometries, [79][80][81] and in superconducting Josephson junctions. 61,74,82 When introducing more than one chain, the Hamiltonian of the uncoupled chains (henceforth referred to as the "leads"), H (0) , will be given by the sum of many Hamiltonians like the one in Eq.…”