Imperial College London

ProfessorAngusMacKinnon

Faculty of Natural SciencesDepartment of Physics

Professor of Physics
 
 
 
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Contact

 

+44 (0)20 7594 7601a.mackinnon Website CV

 
 
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Location

 

812Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

125 results found

Tahir M, MacKinnon A, Time-dependent transport via a quantum shuttle

We present a theoretical study of time-dependent transport via a quantumshuttle within the non-equilibrium Green's function technique. An arbitraryvoltage is applied to the tunnel junction and electrons in the leads areconsidered to be at zero temperature. The transient and the steady statebehavior of the system is considered here in order to explore the quantumdynamics of the shuttle device as a function of time and applied bias. Theproperties of the phonon distribution of the oscillating dot coupled to theelectrons are investigated using a non-perturbative approach. We derive arelation for the oscillator momentum charge density correlation function whichis an interesting physical example for the visualization of shuttlingphenomenon. We consider the crossover between the tunneling and shuttlingregimes for different values of the key parameters as a function of appliedbias and time. We also consider the energy transferred from the electrons tothe oscillating dot as a function of time. This will provide useful insight forthe design of experiments aimed at studying the quantum behavior of a shuttlingdevice.

JOURNAL ARTICLE

Tahir M, MacKinnon A, Current noise of a resonant tunnel junction coupled to a nanomechanical oscillator

We present a theoretical study of current noise of a resonant tunnel junctioncoupled to a nanomechanical oscillator within the non-equilibrium Green'sfunction technique. An arbitrary voltage is applied to the tunnel junction andelectrons in the leads are considered to be at zero temperature. The propertiesof the phonon distribution of the nanomechanical oscillator strongly coupled tothe electrons on the dot are investigated using a non-perturbative approach. Ananalytical calculations and numerical results for the current-voltage, shotnoise and the corresponding Fano factor as a function of applied bias showsignificant features of the nanomechanical oscillator coupling dynamics. Thiswill provide useful insight for the design of experiments aimed at studying thequantum behavior of an oscillator.

JOURNAL ARTICLE

Ridley M, MacKinnon A, Kantorovich L, 2017, Partition-free theory of time-dependent current correlations in nanojunctions in response to an arbitrary time-dependent bias, PHYSICAL REVIEW B, Vol: 95, ISSN: 2469-9950

JOURNAL ARTICLE

Ridley M, MacKinnon A, Kantorovich L, 2016, Calculation of the current response in a nanojunction for an arbitrary time-dependent bias: application to the molecular wire, 6th Interdisciplinary Conference on Progress in Non-equilibrium Green's Functions (PNGF), Publisher: IOP PUBLISHING LTD, ISSN: 1742-6588

CONFERENCE PAPER

Ridley M, MacKinnon A, Kantorovich L, 2016, Fluctuating-bias controlled electron transport in molecular junctions, PHYSICAL REVIEW B, Vol: 93, ISSN: 2469-9950

JOURNAL ARTICLE

Ridley M, MacKinnon A, Kantorovich L, 2015, Current through a multilead nanojunction in response to an arbitrary time-dependent bias, PHYSICAL REVIEW B, Vol: 91, ISSN: 2469-9950

JOURNAL ARTICLE

Tahir M, MacKinnon A, Schwingenschlogl U, 2014, Novel spectral features of nanoelectromechanical systems, SCIENTIFIC REPORTS, Vol: 4, ISSN: 2045-2322

JOURNAL ARTICLE

Tahir M, Sabeeh K, MacKinnon A, 2011, Temperature effects on the magnetoplasmon spectrum of a weakly modulated graphene monolayer, JOURNAL OF PHYSICS-CONDENSED MATTER, Vol: 23, ISSN: 0953-8984

JOURNAL ARTICLE

Kramer B, MacKinnon A, Ohtsuki T, Slevin Ket al., 2010, FINITE SIZE SCALING ANALYSIS OF THE ANDERSON TRANSITION, INTERNATIONAL JOURNAL OF MODERN PHYSICS B, Vol: 24, Pages: 1841-1854, ISSN: 0217-9792

JOURNAL ARTICLE

Kramer B, MacKinnon A, Ohtsuki T, Slevin Ket al., 2010, Finite size scaling analysis of the Anderson transition, 50 Years of Anderson Localization, Pages: 347-360, ISBN: 9789814299084

© 2010 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This chapter describes the progress made during the past three decades in the finite size scaling analysis of the critical phenomena of the Anderson transition. The scaling theory of localization and the Anderson model of localization are briey sketched. The finite size scaling method is described. Recent results for the critical exponents of the di_erent symmetry classes are summarised. The importance of corrections to scaling are emphasised. A comparison with experiment is made, and a direction for future work is suggested.

BOOK CHAPTER

Tahir M, MacKinnon A, 2010, Time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator, PHYSICAL REVIEW B, Vol: 81, ISSN: 1098-0121

JOURNAL ARTICLE

Tahir M, Sabeeh K, MacKinnon A, 2010, The magnetoplasmon spectrum of a weakly modulated two-dimensional electron gas system, JOURNAL OF PHYSICS-CONDENSED MATTER, Vol: 22, ISSN: 0953-8984

JOURNAL ARTICLE

MacKinnon A, 2008, Towards a simulation of disordered systems with interactions, JOURNAL OF PHYSICS-CONDENSED MATTER, Vol: 20, ISSN: 0953-8984

JOURNAL ARTICLE

Mackinnon A, 2008, Localization in disordered systems with interactions, International Workshop on the Physics of Mesoscopic and Disordered Materials (MESODIS 2006), Publisher: INDIAN ACAD SCIENCES, Pages: 211-220, ISSN: 0304-4289

CONFERENCE PAPER

Tahir M, MacKinnon A, 2008, Quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator, PHYSICAL REVIEW B, Vol: 77, ISSN: 1098-0121

JOURNAL ARTICLE

Tahir M, Sabeeh K, MacKinnon A, 2007, Weiss oscillations in the electronic structure of modulated graphene, JOURNAL OF PHYSICS-CONDENSED MATTER, Vol: 19, ISSN: 0953-8984

JOURNAL ARTICLE

Carter JM, MacKinnon A, 2005, Disorder and interactions in one-dimensional systems, PHYSICAL REVIEW B, Vol: 72, ISSN: 1098-0121

JOURNAL ARTICLE

MacKinnon A, 2005, Theory of some nano-electro-mechanical systems, Physica E-Low-Dimensional Systems & Nanostructures, Vol: 29, Pages: 399-410, ISSN: 1386-9477

JOURNAL ARTICLE

Mackinnon A, Pendry J, 2004, Elizabeth Ann Johnson - Obituaries, PHYSICS TODAY, Vol: 57, Pages: 105-106, ISSN: 0031-9228

JOURNAL ARTICLE

Carter JM, MacKinnon A, 2003, Disorder and interactions on a 1D chain, Pages: 163-164, ISSN: 0031-9015

CONFERENCE PAPER

Carter JM, MacKinnon A, 2003, Disorder and interactions on a 1D chain, Journal of the Physical Society of Japan, Vol: 72, Pages: 163-164, ISSN: 0031-9015

JOURNAL ARTICLE

MacKinnon A, Armour AD, 2003, Transport via a quantum shuttle, 23rd International Conference on Low Temperature Physics (LT23), Publisher: ELSEVIER SCIENCE BV, Pages: 95-96, ISSN: 1386-9477

CONFERENCE PAPER

MacKinnon A, Armour AD, 2003, Quantum interference and inelastic scattering in a which-way device, 23rd International Conference on Low Temperature Physics (LT23), Publisher: ELSEVIER SCIENCE BV, Pages: 235-236, ISSN: 1386-9477

CONFERENCE PAPER

MacKinnon A, Armour AD, 2003, Quantum interference and inelastic scattering in a model which-way device, Pages: 118-122, ISSN: 0031-9015

A which-way device is one which is designed to detect which of 2 paths is taken by a quantum particle, whether Schrodinger's cat is dead or alive. One possible such device is represented by an Aharonov-Bohm ring with a quantum dot on one branch. A charged cantilever or spring is brought close to the dot as a detector of the presence of an electron. The conventional view of such a device is that any change in the state of the cantilever implies a change in the electron state which will in turn destroy the interference effects. In this paper we show that it is in fact possible to change the state of the oscillator while preserving the quantum interference phenomenon. © 2003 The Physical Society of Japan.

CONFERENCE PAPER

MacKinnon A, 2003, Transfer matrices and disordered systems, Berlin, 283rd international WE Heraeus seminar on localization, quantum coherence and interactions, Hamburg, Germany, 4 - 6 September 2002, Publisher: Springer-Verlag, Pages: 21-30

CONFERENCE PAPER

MacKinnon A, 2003, Bernhard Kramer and his contributions to physics, Anderson localization and its ramifications: disorder, phase coherence and electron correlations, Editors: Brandes, Kettemann, Berlin, Publisher: Springer, Pages: VII-X, ISBN: 9783540407850

BOOK CHAPTER

MacKinnon A, Armour AD, 2003, Quantum interference and inelastic scattering in a model which-way device, Journal of the Physical Society of Japan, Vol: 72, Pages: 118-122, ISSN: 0031-9015

JOURNAL ARTICLE

Römer RA, MacKinnon A, Villagonzalo C, 2003, Thermoelectric properties of disordered systems, Pages: 167-168, ISSN: 0031-9015

CONFERENCE PAPER

Romer RA, MacKinnon A, Villagonzalo C, 2003, Thermoelectric properties of disordered systems, Journal of the Physical Society of Japan, Vol: 72, Pages: 167-168, ISSN: 0031-9015

JOURNAL ARTICLE

Armour AD, MacKinnon A, 2002, Transport via a quantum shuttle, 10th International Conference on Phonon Scattering in Condensed Matter, Publisher: ELSEVIER SCIENCE BV, Pages: 403-405, ISSN: 0921-4526

CONFERENCE PAPER

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