Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions Yuji Hamamoto, Thibaut Jonckheere, Takeo Kato, Thierry Martin.

Slides:

Advertisements

Similar presentations

Separation of neutral and charge modes in one dimensional chiral edge channels

Advertisements

First things first ,980. Outline Physics = surprise Physics = surprise Electron counting = field theory Electron counting = field theory Full.

Theory of the pairbreaking superconductor-metal transition in nanowires Talk online: sachdev.physics.harvard.edu Talk online: sachdev.physics.harvard.edu.

Lecture 2. Granular metals Plan of the Lecture 1)Basic energy scales 2)Basic experimental data 3)Metallic behaviour: logarithmic R(T) 4)Insulating behaviour:

Signatures of Tomonaga-Luttinger liquid behavior in shot noise of a carbon nanotube Patrik Recher, Na Young Kim, and Yoshihisa Yamamoto Institute of Industrial.

- Mallorca - Spain Quantum Engineering of States and Devices: Theory and Experiments Obergurgl, Austria 2010 The two impurity.

14 février 2011Evaluation AERES1 Equipe de Nanophysique – Groupe 2 Membres permanents Adeline Crépieux MdC U2 Pierre Devillard MdC U1 Thibaut Jonckheere.

Dynamical response of nanoconductors: the example of the quantum RC circuit Christophe Mora Collaboration with Audrey Cottet, Takis Kontos, Michele Filippone,

Topics in Condensed Matter Physics Lecture Course for graduate students CFIF/Dep. Física Spin-dependent transport theory Vitalii Dugaev Winter semester:

Chernogolovka, September 2012 Cavity-coupled strongly correlated nanodevices Gergely Zaránd TU Budapest Experiment: J. Basset, A.Yu. Kasumov, H. Bouchiat,

Improved Description of Electron-Plasmon coupling in Green’s function calculations Jianqiang (Sky) ZHOU, Lucia REINING 1ETSF YRM 2014 Rome.

Igor Aleiner (Columbia) Theory of Quantum Dots as Zero-dimensional Metallic Systems Physics of the Microworld Conference, Oct. 16 (2004) Collaborators:

 From a single molecule to an ensemble of molecules at T ~0 : Both tunneling rate and decoherence increase  LZ probability: P LZ = 1 – exp[-  (  /ħ)

Tunneling through a Luttinger dot R. Egger, Institut für Theoretische Physik Heinrich-Heine-Universität Düsseldorf M. Thorwart, S. Hügle, A.O. Gogolin.

Chaos and interactions in nano-size metallic grains: the competition between superconductivity and ferromagnetism Yoram Alhassid (Yale) Introduction Universal.

The Coulomb Blockade in Quantum Boxes Avraham Schiller Racah Institute of Physics Eran Lebanon (Hebrew University) Frithjof B. Anders (Bremen University)

PCE STAMP Physics & Astronomy UBC Vancouver Pacific Institute for Theoretical Physics QUANTUM GLASSES Talk given at 99 th Stat Mech meeting, Rutgers, 10.

Mesoscopic Anisotropic Magnetoconductance Fluctuations in Ferromagnets Shaffique Adam Cornell University PiTP/Les Houches Summer School on Quantum Magnetism,

Quantum charge fluctuation in a superconducting grain Manuel Houzet SPSMS, CEA Grenoble In collaboration with L. Glazman (University of Minnesota) D. Pesin.

Full counting statistics of incoherent multiple Andreev reflection Peter Samuelsson, Lund University, Sweden Sebastian Pilgram, ETH Zurich, Switzerland.

Division of Open Systems Dynamics Department of Quantum Mechanics Seminar 1 20 April 2004 CHARGE TRANSPORT THROUGH A DOUBLE QUANTUM DOT IN THE PRESENCE.

L. Besombes et al., PRL93, , 2004 Single exciton spectroscopy in a semimagnetic nanocrystal J. Fernández-Rossier Institute of Materials Science,

14. April 2003 Quantum Mechanics on the Large Scale Banff, Alberta 1 Relaxation and Decoherence in Quantum Impurity Models: From Weak to Strong Tunneling.

Exotic Kondo Effects and T K Enhancement in Mesoscopic Systems.

Interference of fluctuating condensates Anatoli Polkovnikov Harvard/Boston University Ehud Altman Harvard/Weizmann Vladimir Gritsev Harvard Mikhail Lukin.

Markus Büttiker University of Geneva Haifa, Jan. 12, 2007 Mesoscopic Capacitors.

The noise spectra of mesoscopic structures Eitan Rothstein With Amnon Aharony and Ora Entin University of Latvia, Riga, Latvia.

Electron Entanglement via interactions in a quantum dot Gladys León 1, Otto Rendon 2, Horacio Pastawski 3, Ernesto Medina 1 1 Centro de Física, Instituto.

Avraham Schiller / Seattle 09 equilibrium: Real-time dynamics Avraham Schiller Quantum impurity systems out of Racah Institute of Physics, The Hebrew University.

Ballistic and quantum transports in carbon nanotubes.

Superconducting Qubits Kyle Garton Physics C191 Fall 2009.

Slava Kashcheyevs Bernd Kästner (PTB, Braunschweig, Germany) Mark Buitelaar (University of Cambridge, UK) AAMP’2008, Ratnieki, Latvia Low-frequency excitation.

Investigations in Superconductivity Lulu Liu Partner: Chris Chronopoulos 8.14 Experiment 4 May 12, 2008.

System and definitions In harmonic trap (ideal): er.

Radiation induced photocurrent and quantum interference in n-p junctions. M.V. Fistul, S.V. Syzranov, A.M. Kadigrobov, K.B. Efetov.

Vyacheslavs (Slava) Kashcheyevs Collaboration: Christoph Karrasch, Volker Meden (RTWH Aachen U., Germany) Theresa Hecht, Andreas Weichselbaum (LMU Munich,

Quantum transport theory - analyzing higher order correlation effects by symbolic computation - the development of SymGF PhD Thesis Defense Feng, Zimin.

Dynamics of phase transitions in ion traps A. Retzker, A. Del Campo, M. Plenio, G. Morigi and G. De Chiara Quantum Engineering of States and Devices: Theory.

Five-Lecture Course on the Basic Physics of Nanoelectromechanical Devices Lecture 1: Introduction to nanoelectromechanical systems (NEMS) Lecture 2: Electronics.

T. K. T. Nguyen, M. N. Kiselev, and V. E. Kravtsov The Abdus Salam ICTP, Trieste, Italy Effect of magnetic field on thermoelectric coefficients of a single.

Meet the transmon and his friends

Supercurrent through carbon-nanotube-based quantum dots Tomáš Novotný Department of Condensed Matter Physics, MFF UK In collaboration with: K. Flensberg,

D.Giuliano (Cosenza), P. Sodano (Perugia) Local Pairing of Cooper pairs in Josephson junction networks Obergurgl, June 2010.

Two Level Systems and Kondo-like traps as possible sources of decoherence in superconducting qubits Lara Faoro and Lev Ioffe Rutgers University (USA)

Quantum pumping and rectification effects in interacting quantum dots Francesco Romeo In collaboration with : Dr Roberta Citro Prof. Maria Marinaro University.

Wigner-Mott scaling of transport near the two-dimensional metal-insulator transition Milos Radonjic, D. Tanaskovic, V. Dobrosavljevic, K. Haule, G. Kotliar.

Microscopic model of photon condensation Milan Radonjić, Antun Balaž and Axel Pelster TU Berlin,

Quantum Noise of a Carbon Nanotube Quantum Dot in the Kondo Regime Exp : J. Basset, A.Yu. Kasumov, H. Bouchiat and R. Deblock Laboratoire de Physique des.

1/3/2016SCCS 2008 Sergey Kravchenko in collaboration with: Interactions and disorder in two-dimensional semiconductors A. Punnoose M. P. Sarachik A. A.

Theoretical study of the phase evolution in a quantum dot in the presence of Kondo correlations Mireille LAVAGNA Work done in collaboration with A. JEREZ.

A. Ambrosetti, F. Pederiva and E. Lipparini

Charge pumping in mesoscopic systems coupled to a superconducting lead

Electronic transport in one-dimensional wires Akira Furusaki (RIKEN)

Lattice gauge theory treatment of Dirac semimetals at strong coupling Yasufumi Araki 1,2 1 Institute for Materials Research, Tohoku Univ. 2 Frontier Research.

NTNU, April 2013 with collaborators: Salman A. Silotri (NCTU), Chung-Hou Chung (NCTU, NCTS) Sung Po Chao Helical edge states transport through a quantum.

Charge-Density-Wave nanowires Erwin Slot Mark Holst Herre van der Zant Sergei Zaitsev-Zotov Sergei Artemenko Robert Thorne Molecular Electronics and Devices.

NTNU 2011 Dimer-superfluid phase in the attractive Extended Bose-Hubbard model with three-body constraint Kwai-Kong Ng Department of Physics Tunghai University,

Capri Spring School, April 8, 2006

Vivek Sinha (09MS 066) Amit Kumar (09 MS 086)

Quantum Phase Transition of Light: A Renormalization Group Study

RESONANT TUNNELING IN CARBON NANOTUBE QUANTUM DOTS

Peter Samuelsson, Sara Kheradsoud, Björn Sothmann

Superfluid-Insulator Transition of

Conductance of nanosystems with interaction

Coulomb Blockade and Single Electron Transistor

Full Current Statistics in Multiterminal Mesoscopic Conductors

Dynamical mean field theory: In practice

Bell Work: Electric Fields

Tunneling through a Luttinger dot

Jaynes-Cummings Hamiltonian

Presentation transcript:

Dynamic response of a mesoscopic capacitor in the presence of strong electron interactions Yuji Hamamoto*, Thibaut Jonckheere, Takeo Kato*, Thierry Martin * University of Tokyo, Kashiwa Obergurgl 05/06/2010 (Phys. Rev. B 81, (2010)) (PHC Sakura) Phys. Rev. B 2010 Quantum RC circuit

Perspectives: quantum optics with electrons Hambury Brown and Twiss experiment with single electrons Hong –Ou-Mandel experiment with single electrons

Electrochemical capacitance Charge relaxation resistance Experimental verification, LPA ENS (Science 06)

OUTLINE This work: beyond the single electron model and its mean field generalizations How can one include Coulomb Blockade exactly How to account for the existence of electronic correlations in the reservoir ? (STRONG ELECTRONIC CORRELATIONS) Strong coupling between dot and reservoir Monte Carlo calculations Weak coupling: instantons and scaling equations

MODEL Our setup: a semi-infinite Luttiger Liquid with a Barrier reservoir Quantum point contact: backscattering Quantum dot AC modulated gate

Full Hamiltonian: bosonization Charging energy backscattering Gate voltage

Linear response calculation: Kubo type formula (Matsubara formalism: imaginary time)

No drastic modification of the relaxation resistance for the case of WEAK backscattering SCALE ! Perturbation theory Monte Carlo data

Scaling equations: Tunneling strength Grows Tunneling reduced RG flow towards weak coupling with specified charge. strong coupling between dot and reservoir Tunneling amplitude Dilute instanton gas description

Justifies Define low frequency resistance instead as: extrapolate

Coherent transport (Thermal time=1/T) Decoherence before charge relaxation is achieved Quantum dot acts like a « reservoir » Furusaki Matveev PRL02

CONCLUSION: Relaxation resistance (renormalized by interactions) well defined, as long as interaction are sufficiently weak KT phase transition dot acts like an incoherent reservoir low frequency resitence exceeds RC time diverges, and the relaxation resistance cannot be defined anymore. Interactions in a 1D mesoscopic capacitor drastically modify its finite frequency behavior compared to single electron model Phys. Rev. B 81, (2010)