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Dr Paul Goddard

Quantum oscillation study of the large magnetoresistance in Mo substituted WTe2 single crystals

The list of interesting electrical properties exhibited by transition metal dichalcogenides has grown with the discovery of extremely large magnetoresistance (MR) and type-II Weyl semimetal behaviour in WTe2 and MoTe2. The extremely large MR in WTe2 is still not adequately understood. Here, we systematically study the effect of Mo substitution on the quantum oscillations in the MR in WTe2. The MR decreases with Mo substitution, however, the carrier concentrations extracted from the quantum oscillations show that the charge compensation improves. We believe that earlier interpretations based on the two-band theory, which attribute the decrease in MR to charge imbalance, could be incorrect due to over-parametrization. We attribute the decrease in MR in the presence of charge compensation to a fall in transport mobility, which is evident from the residual resistivity ratio data. The quantum scattering time and the effective masses do not change within experimental errors upon substitution.

The results are published at Phys. Rev. B 110, 155113 (2024).

My Research

My research interest lies in the development and understanding of materials in which strong electronic correlations give rise to theoretically or technologically significant properties. These functional materials are not merely of concern to condensed matter physicists, they are also relevant for society as a whole - the useful materials of the future being those that are just beyond our understanding today.

The properties displayed by functional materials, which could be superconductivity, magnetism, or merely a marked response to external stimuli, are key ingredients for transformative new technologies. Shedding light on how the interesting properties emerge from the interplay between the quasiparticles, the magnetic moments and the vibrational excitations present in these systems thus remains one of the major challenges facing physics today.

Typically I use low temperatures and high magnetic fields, often combined with molecular chemistry and applied hydrostatic pressure, to understand how the structure of these materials relates to their electronic and magnetic properties. More details of this work can be found here.

High Magnetic Fields

The application of high magnetic fields is a powerful method for revealing the often complex behaviour found in functional materials. Not only do magnetic fields couple to conduction electrons and magnetic moments, the key ingredients in a strongly-correlated system, they are also directional, allowing the topology of electronic interactions to be investigated.

sdh.jpgHigh magnetic fields can be used to access the normal state of high-temperature superconductors and map out the topology of their Fermi surface via either quantum oscillations (as in the example data shown on the left) or angle-dependent magnetoresistance oscillations. Fields can also change the energy level structure of a material and allow excited states to be explored, identify quantum phase transitions, align spins and lift the frustration in low-dimensional magnets, alter the character of quasiparticles in heavy fermion compounds, and reveal hidden order or induce new phases in magnetic or charge-ordered materials.

To obtain fields in excess of about 20 tesla, one needs to go to specialised facilities. I am a regular user of the Nicholas Kurti Magnetic Field Laboratory in the Clarendon LaboratoryLink opens in a new window at the University of Oxford. Here it is possible to perform measurements of magnetization and resistivity on a variety of novel materials in fields up to 60 tesla and temperatures down to 400 mK. I also make frequent visits to the National High Magnetic Field LaboratoryLink opens in a new window in the United States, and the High Field Magnet LaboratoryLink opens in a new window in the Netherlands.

HereLink opens in a new window is a short article I wrote for the UK Magnetics Society on measuring electronic properties in high fields.

Low-dimensional and Molecular Magnets

Gaining control of the building blocks of magnetic materials and thereby achieving particular characteristics could make possible the design and growth of bespoke magnetic devices. Progress in the synthesis of molecular materials, and especially coordination polymers, represents a significant step towards this goal.

polymer magnet

Coordination polymers, like the one shown on the left, are self-organising materials consisting of arrays of metal ions linked via molecular ligands. Here, the choice of initial components dictates the form of the final product, enabling many different polymeric architectures to be obtained. These materials are thus a possible route to successful crystal engineering and, as well as magnetism, a number of functionalities are being actively studied around the world, including gas storage, optoelectronics, and ferroelectricity.

I use high- and low-field magnetometry to understand the balance of competing interactions in low-dimensional magnet systems constructed from organic and molecular building blocks. By working closely with sample growth experts, materials can be studied that are near-ideal realizations of model quantum systems, allowing the predictions of quantum theory to be tested in the laboratory.

Write to:

Department of Physics
University of Warwick
Coventry CV4 7AL
United Kingdom

Contact Details:

Office: P242

Telephone:

+44 (0)2476151775

E-Mail:

p.goddard*at*warwick.ac.uk

Publications:

A full list of my publications can be accessed here.

Teaching:

I currently teach the 2nd Year undergraduate core module PX284 on Statistical Mechanics, as well as one half of the 3rd Year PX385 module on Condensed Matter Physics.

Funding:

I was the PI on an ERC Consolidator GrantLink opens in a new window, that began in September 2016.

This project received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 681260).

I am extremely grateful to the ERC for this funding.