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Quantum phase transitions in Dirac fermion systems

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Abstract

A key problem in the field of quantum criticality is to understand the nature of quantum phase transitions in systems of interacting itinerant fermions, motivated by experiments on a variety of strongly correlated materials. Much attention has been paid in recent years to two-dimensional (2D) materials in which itinerant fermions acquire a pseudo-relativistic Dirac dispersion, such as graphene, topological insulator surfaces, and certain spin liquids. This article reviews the phenomenology and theoretical description of quantum phase transitions in systems of 2D Dirac fermions.

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Acknowledgements

We acknowledge support from NSERC (grant #RGPIN-2014-4608), the CRC Program, CIFAR, Alberta Innovates, the University of Alberta, and its Theoretical Physics Institute.

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Authors and Affiliations

  1. Department of Physics, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada

    Rufus Boyack, Hennadii Yerzhakov & Joseph Maciejko

  2. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, T6G 2E1, Canada

    Rufus Boyack & Joseph Maciejko

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  1. Rufus Boyack
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  2. Hennadii Yerzhakov
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  3. Joseph Maciejko
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Contributions

All authors contributed significantly to the writing of the manuscript. Sections 6–7 largely review research carried out by H.Y. and R.B. and supervised by J.M.

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Correspondence to Joseph Maciejko.

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Boyack, R., Yerzhakov, H. & Maciejko, J. Quantum phase transitions in Dirac fermion systems. Eur. Phys. J. Spec. Top. 230, 979–992 (2021). https://doi.org/10.1140/epjs/s11734-021-00069-1

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