scholarly journals Charge fractionalization beyond the Luttinger liquid paradigm: An analytical consideration

2021 ◽  
Vol 103 (19) ◽  
Author(s):  
A. A. Dontsov ◽  
A. P. Dmitriev
Keyword(s):  
Luttinger Liquid ◽  
Analytical Consideration ◽  
Charge Fractionalization

scholarly journals Quantum information probes of charge fractionalization in large-N gauge theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Brandon S. DiNunno ◽  
Niko Jokela ◽  
Juan F. Pedraza ◽  
Arttu Pönni
Keyword(s):  
Degrees Of Freedom ◽  
Gauge Theories ◽  
Entanglement Entropy ◽  
Coarse Grained ◽  
Strongly Coupled ◽  
Information Theoretic ◽  
Large N ◽  
Wide Range ◽  
Charge Fractionalization ◽  
Electric Flux

Abstract We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-N gauge theories. For concreteness, we focus on a simple holographic (2 + 1)-dimensional strongly coupled electron fluid whose charged states organize themselves into fractionalized and coherent patterns at sufficiently low temperatures. However, we expect that our results are quite generic and applicable to a wide range of systems, including non-holographic. The probes we consider include the entanglement entropy, mutual information, entanglement of purification and the butterfly velocity. The latter turns out to be particularly useful, given the universal connection between momentum and charge diffusion in the vicinity of a black hole horizon. The RT surfaces used to compute the above quantities, though, are largely insensitive to the electric flux in the bulk. To address this deficiency, we propose a generalized entanglement functional that is motivated through the Iyer-Wald formalism, applied to a gravity theory coupled to a U(1) gauge field. We argue that this functional gives rise to a coarse grained measure of entanglement in the boundary theory which is obtained by tracing over (part) of the fractionalized and cohesive charge degrees of freedom. Based on the above, we construct a candidate for an entropic c-function that accounts for the existence of bulk charges. We explore some of its general properties and their significance, and discuss how it can be used to efficiently account for charged degrees of freedom across different energy scales.

scholarly journals Nonequilibrium dc noise in a Luttinger liquid with an impurity

1996 ◽  
Vol 54 (15) ◽  
pp. 10845-10854 ◽  
Author(s):  
P. Fendley ◽  
H. Saleur
Keyword(s):  
Luttinger Liquid

scholarly journals Gate-tunable plasmons in mixed-dimensional van der Waals heterostructures

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Sheng Wang ◽  
SeokJae Yoo ◽  
Sihan Zhao ◽  
Wenyu Zhao ◽  
Salman Kahn ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Carrier Density ◽  
Electromagnetic Interaction ◽  
Luttinger Liquid ◽  
Fundamental Physics ◽  
Metallic Structures ◽  
One Dimensional ◽  
Figures Of Merit ◽  
Electrostatic Gating ◽  
Plasmon Dispersion

AbstractSurface plasmons, collective electromagnetic excitations coupled to conduction electron oscillations, enable the manipulation of light–matter interactions at the nanoscale. Plasmon dispersion of metallic structures depends sensitively on their dimensionality and has been intensively studied for fundamental physics as well as applied technologies. Here, we report possible evidence for gate-tunable hybrid plasmons from the dimensionally mixed coupling between one-dimensional (1D) carbon nanotubes and two-dimensional (2D) graphene. In contrast to the carrier density-independent 1D Luttinger liquid plasmons in bare metallic carbon nanotubes, plasmon wavelengths in the 1D-2D heterostructure are modulated by 75% via electrostatic gating while retaining the high figures of merit of 1D plasmons. We propose a theoretical model to describe the electromagnetic interaction between plasmons in nanotubes and graphene, suggesting plasmon hybridization as a possible origin for the observed large plasmon modulation. The mixed-dimensional plasmonic heterostructures may enable diverse designs of tunable plasmonic nanodevices.

Publisher’s Note: Charge Fractionalization in the Integer Quantum Hall Effect [Phys. Rev. Lett. 112, 166801 (2014)]

2014 ◽  
Vol 112 (18) ◽  
Author(s):  
Hiroyuki Inoue ◽  
Anna Grivnin ◽  
Nissim Ofek ◽  
Izhar Neder ◽  
Moty Heiblum ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Integer Quantum Hall Effect ◽  
Integer Quantum ◽  
Charge Fractionalization

scholarly journals Effect of interactions on the noise of chiral Luttinger liquid systems

2004 ◽  
Vol 70 (23) ◽  
Author(s):  
B. Trauzettel ◽  
P. Roche ◽  
D. C. Glattli ◽  
H. Saleur
Keyword(s):  
Luttinger Liquid ◽  
Liquid Systems

scholarly journals Luttinger-liquid-like transport in long InSb nanowires

2000 ◽  
Vol 12 (20) ◽  
pp. L303-L309 ◽  
Author(s):  
S V Zaitsev-Zotov ◽  
Yu A Kumzerov ◽  
Yu A Firsov ◽  
P Monceau
Keyword(s):  
Luttinger Liquid ◽  
Insb Nanowires

Thermal conductivity of ultrathin InSb semiconductor nanowires with properties of the Luttinger liquid

2006 ◽  
Vol 48 (8) ◽  
pp. 1584-1590 ◽  
Author(s):  
Yu. A. Kumzerov ◽  
I. A. Smirnov ◽  
Yu. A. Firsov ◽  
L. S. Parfen’eva ◽  
H. Misiorek ◽  
...  
Keyword(s):  
Thermal Conductivity ◽  
Luttinger Liquid ◽  
Semiconductor Nanowires
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