scholarly journals Halon: A quasiparticle featuring critical charge fractionalization

2018 ◽  
Vol 98 (21) ◽  
Author(s):  
Kun Chen ◽  
Yuan Huang ◽  
Youjin Deng ◽  
Boris Svistunov
Keyword(s):  
Critical Charge ◽  
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.

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

Charge fractionalization and relics of supersymmetry

1984 ◽  
Vol 138 (1-3) ◽  
pp. 111-114 ◽  
Author(s):  
Shoichi Midorikawa
Keyword(s):  
Charge Fractionalization

scholarly journals Charge fractionalization on quantum Hall edges

2011 ◽  
Vol 84 (11) ◽  
Author(s):  
Mats Horsdal ◽  
Marianne Rypestøl ◽  
Hans Hansson ◽  
Jon Magne Leinaas
Keyword(s):  
Quantum Hall ◽  
Charge Fractionalization

scholarly journals Interactions and Charge Fractionalization in an Electronic Hong-Ou-Mandel Interferometer

2014 ◽  
Vol 112 (4) ◽  
Author(s):  
Claire Wahl ◽  
Jérôme Rech ◽  
Thibaut Jonckheere ◽  
Thierry Martin
Keyword(s):  
Charge Fractionalization

Asymptotic quantum defect of singly excited two-electron atoms at the critical charge

2020 ◽  
Vol 53 (7) ◽  
pp. 075004
Author(s):  
Linhong Chen ◽  
James S Wright ◽  
Jacob Katriel ◽  
Vladimir I Korobov
Keyword(s):  
Quantum Defect ◽  
Critical Charge ◽  
Asymptotic Quantum

scholarly journals Effect of topology on the critical charge in graphene

2011 ◽  
Vol 83 (11) ◽  
Author(s):  
Baishali Chakraborty ◽  
Kumar S. Gupta ◽  
Siddhartha Sen
Keyword(s):  
Critical Charge
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