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Anyonic system not only has potential applications in the construction of topological quantum computer, but also presents a unique property known as topological entanglement entropy in quantum many-body systems. How to understand…

Quantum Physics · Physics 2023-12-12 Cheng-Qian Xu , D. L. Zhou

The Fibonacci topological order is the prime candidate for the realization of universal topological quantum computation. We devise minimal quantum circuits to demonstrate the non-Abelian nature of the doubled Fibonacci topological order, as…

Quantum Physics · Physics 2024-08-05 Sary Bseiso , Joel Pommerening , Richard R. Allen , Steven H. Simon , Layla Hormozi

We study the possibility to observe the two channel Kondo physics in multiple quantum dot heterostructures in the presence of magnetic field. We show that a fine tuning of the coupling parameters of the system and an external magnetic field…

Strongly Correlated Electrons · Physics 2009-11-11 K. Kikoin , Y. Oreg

Many-body correlations and macroscopic quantum behaviors are fascinating condensed matter problems. A powerful test-bed for the many-body concepts and methods is the Kondo model which entails the coupling of a quantum impurity to a…

Mesoscale and Nanoscale Physics · Physics 2016-02-08 Z. Iftikhar , S. Jezouin , A. Anthore , U. Gennser , F. D. Parmentier , A. Cavanna , F. Pierre

Models for topological quantum computation are based on braiding and fusing anyons (quasiparticles of fractional statistics) in (2+1)-D. The anyons that can exist in a physical theory are determined by the symmetry group of the Hamiltonian.…

Quantum Physics · Physics 2015-03-17 Meagan B. Thompson

We investigate a quantum dot (Anderson impurity) coupled to metallic leads, with a time-periodic voltage bias across the device. Using a time-dependent Schrieffer-Wolff transformation, we show that the Floquet Hamiltonian of the model can…

Strongly Correlated Electrons · Physics 2017-04-10 Martin Eckstein , Philipp Werner

A class of anyonic models for universal quantum computation based on weakly-integral anyons has been recently proposed. While universal set of gates cannot be obtained in this context by anyon braiding alone, designing a certain type of…

Quantum Physics · Physics 2016-06-13 Alex Bocharov , Shawn X. Cui , Vadym Kliuchnikov , Zhenghan Wang

The coset construction of two-dimensional conformal field theory (2D CFT) defines a 2D CFT by taking the quotient of two previously known chiral algebras. In this work, we use the methods of non-abelian (non-invertible) anyon condensation…

High Energy Physics - Theory · Physics 2024-12-04 Clay Cordova , Diego García-Sepúlveda

The out-of-equilibrium transport properties of a double quantum dot system in the Kondo regime are studied theoretically by means of a two-impurity Anderson Hamiltonian with inter-impurity hopping. The Hamiltonian, formulated in slave-boson…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ramon Aguado , David C. Langreth

We investigate the boundary phenomena that arise in a finite-size $XX$ spin chain interacting through an $XX$ interaction with a spin$-\frac{1}{2}$ impurity located at its edge. Upon Jordan-Wigner transformation, the model is described by a…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Yicheng Tang , J. H. Pixley , Natan Andrei

We study the Josephson current 0-$\pi$ transition of a quantum dot tuned to the Kondo regime. The physics can be quantitatively captured by the numerically exact continuous time quantum Monte Carlo method applied to the single-impurity…

Strongly Correlated Electrons · Physics 2012-06-04 David J. Luitz , Fakher F. Assaad , Tomáš Novotný , Christoph Karrasch , Volker Meden

We propose a design for a one-dimensional quantum box device where the charge fluctuations are described by an anisotropic two-channel Kondo model. The device consists of a quantum box in the Coulomb blockade regime, weakly coupled to a…

Mesoscale and Nanoscale Physics · Physics 2007-09-02 Paata Kakashvili , Henrik Johannesson

In the multichannel Kondo effect, overscreening of a magnetic impurity by conduction electrons leads to a frustrated exotic ground state. It has been proposed that multichannel topological Kondo (MCTK) model involving topological Cooper…

Strongly Correlated Electrons · Physics 2025-07-17 Guangjie Li , Elio J. König , Jukka I. Väyrynen

Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup…

Topological insulators supporting non-abelian anyonic excitations are at the center of attention as candidates for topological quantum computation. In this paper, we analyze the ground-state properties of disordered non-abelian anyonic…

Strongly Correlated Electrons · Physics 2013-05-29 Lukasz Fidkowski , Gil Refael , Nick Bonesteel , Joel Moore

Tuning a material to the cusp between two distinct ground states can produce exotic physical properties, unlike those in either of the neighboring phases. The prospect of designing a model experimental system to capture such behavior is…

The golden chain with antiferromagnetic interaction is an anyonic system of particular interest as when all anyons are confined to the chain, it is readily stabilised against fluctuations away from criticality. However, additional local…

Strongly Correlated Electrons · Physics 2012-06-28 Robert N. C. Pfeifer

Nanoelectronic quantum dot devices exploiting the charge-Kondo paradigm have been established as versatile and accurate analog quantum simulators of fundamental quantum impurity models. In particular, hybrid metal-semiconductor dots…

Strongly Correlated Electrons · Physics 2022-09-07 Emma L. Minarelli , Jonas B. Rigo , Andrew K. Mitchell

A Kondo model with symplectic symmetry was recently put forward as the effective low-energy theory of a superconducting-island device coupled to multiple leads. This model, which possesses non-Fermi liquid physics and effective anyons, was…

Strongly Correlated Electrons · Physics 2024-12-12 Matan Lotem , Sarath Sankar , Tianhao Ren , Moshe Goldstein , Elio. J. König , Andreas Weichselbaum , Eran Sela , Alexei M. Tsvelik

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang