Projects per year
Abstract
A linear unsaturating magnetoresistance at high perpendicular magnetic fields, together with a quadratic positive magnetoresistance at low fields, has been seen in many different experimental materials, ranging from silver chalcogenides and thin films of InSb to topological materials like graphene and Dirac semimetals. In the literature, two very different theoretical approaches have been used to explain this classical magnetoresistance as a consequence of sample disorder. The phenomenological random resistor network model constructs a grid of four terminal resistors, each with a varying random resistance. The effective medium theory model imagines a smoothly varying disorder potential that causes a continuous variation of the local conductivity. Here, we demonstrate numerically that both models belong to the same universality class and that a restricted class of the random resistor network is actually equivalent to the effective medium theory. Both models are also in good agreement with experiments on a diverse range of materials. Moreover, we show that in both cases, a single parameter, i.e., the ratio of the fluctuations in the carrier density to the average carrier density, completely determines the magnetoresistance profile.
Original language | English |
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Article number | 224203 |
Number of pages | 6 |
Journal | Physical Review B |
Volume | 96 |
Issue number | 22 |
DOIs | |
Publication status | Published - 14 Dec 2017 |
Projects
- 1 Finished
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ARC Centre of Excellence in Future Low-energy Electronics Technologies
Fuhrer, M. (Primary Chief Investigator (PCI)), Bao, Q. (Chief Investigator (CI)), Culcer, D. (Chief Investigator (CI)), Davis, M. (Chief Investigator (CI)), Davis, J. A. (Chief Investigator (CI)), Hamilton, A. (Chief Investigator (CI)), Helmerson, K. (Chief Investigator (CI)), Klochan, O. (Chief Investigator (CI)), Medhekar, N. (Chief Investigator (CI)), Ostrovskaya, E. A. (Chief Investigator (CI)), Parish, M. (Chief Investigator (CI)), Schiffrin, A. (Chief Investigator (CI)), Seidel, J. (Chief Investigator (CI)), Sushkov, O. (Chief Investigator (CI)), Valanoor, N. (Chief Investigator (CI)), Wang, X. (Chief Investigator (CI)), Galitskiy, V. (Partner Investigator (PI)), Gurarie, V. (Partner Investigator (PI)), Hannon, J. (Partner Investigator (PI)), Höfling, S. (Partner Investigator (PI)), Hone, J. (Partner Investigator (PI)), Rule, K. C. (Partner Investigator (PI)), Krausz, F. (Partner Investigator (PI)), Littlewood, P. (Partner Investigator (PI)), MacDonald, A. (Partner Investigator (PI)), Neto, A. (Partner Investigator (PI)), Oezyilmaz, B. (Partner Investigator (PI)), Paglione, J. (Partner Investigator (PI)), Phillips, W. (Partner Investigator (PI)), Spielman, I. (Partner Investigator (PI)), Tadich, A. (Partner Investigator (PI)), Xue, Q. (Partner Investigator (PI)), Cole, J. (Chief Investigator (CI)), Perali, A. (Partner Investigator (PI)), Neilson, D. (Partner Investigator (PI)), Sek, G. (Partner Investigator (PI)), Gaston, N. (Partner Investigator (PI)), Hodgkiss, J. M. (Partner Investigator (PI)), Tang, M. (Partner Investigator (PI)), Karel, J. (Chief Investigator (CI)), Nguyen, T.-L. (Project Manager), Adam, S. (Partner Investigator (PI)), Granville, S. (Partner Investigator (PI)), Kumar, P. V. (Chief Investigator (CI)) & Daeneke, T. (Chief Investigator (CI))
ARC - Australian Research Council, Monash University – Internal School Contribution, Monash University – Internal Department Contribution, Monash University – Internal Faculty Contribution, Monash University – Internal University Contribution, University of Wollongong, University of Queensland , Tsinghua University, University of New South Wales (UNSW), Australian National University (ANU), RMIT University, Swinburne University of Technology
29/06/17 → 28/06/24
Project: Research