Dirac Fermions in Solids: From High-Tc Cuprates and Graphene to Topological Insulators and Weyl Semimetals

By O. Vafek, Ashvin Vishwanath. 2013

515 citations recorded by the source corpus.

Understanding Dirac-like fermions has become an imperative in modern condensed matter sciences: All across the research frontier, from graphene to high Tc superconductors to the topological insulators and beyond, various electronic systems exhibit properties that can be well described by the Dirac equation. Such physics is no longer the exclusive domain of quantum field theories and other esoteric mathematical musings; instead, physics of real condensed matter systems is governed by such equations, and important materials science and practical implications hinge on our understanding of Dirac particles in two and three dimensions. Although the physics that gives rise to the massless Dirac fermions in each of the above-mentioned materials is different, the low-energy properties are governed by the same Dirac kinematics. The aim of this article is to review a selected cross-section of this vast field by highlighting the generalities and contrasting the specifics of several physical systems.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/08fe6f6d2e8aa9648783df3124d844869605e172

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Citations in the corpus

Weyl and Dirac semimetals in three-dimensional solids (2017, background): “…2017, 2015; Jia et al., 2016; Syzranov and Radzihovsky, 2018; Šmejkal et al., 2017a; WitczakKrempa et al., 2014; Yan and Felser, 2017) and connections to related systems like nodal superconductors have been reviewed in Schnyder and Brydon, 2015; Vafek and Vishwanath, 2014; Wehling et al., 2014.”
Colloquium : Topological band theory (2016, background): “Weyl nodes can be created or annihilated only when two nodes with opposite signs of Chern numbers come together (Vafek and Vishwanath 2014).”
Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points (2017, background): “Now, besides the accelerating advance on these already exciting materials, a plethora of new trends is building momentum: From the search of gapless but topological phases such as the Weyl semimetals [7], to new topological states in systems out of equilibrium [8–10] and non-Hermitian lattices [11–1”
Angle-resolved photoemission studies of quantum materials (2020, unknown): “This lattice structure results in a peculiar low energy electronic structure mainly consisting of carbon pz electrons (π band), with two sets of doubly degenerate Dirac cones (valleys) alternately residing on the six Brillouin zone corners (Castro Neto et al., 2009; Vafek and Vishwanath, 2014).”
Perspective on topological states of non-Hermitian lattices (2019, background): “er parameter [8, 9, 10]. Now, the frontiers in this ﬁeld keep expanding at a rapid pace in ever more interesting directions, like the search for gapless but topological phases such as Weyl semimetals [11, 12] and topological states in Floquet systems [13, 14, 15]. One of the latest research fronts i”
Chiral Anomaly from Strain-Induced Gauge Fields in Dirac and Weyl Semimetals (2016, background): “[5] Oskar Vafek and Ashvin Vishwanath, “Dirac fermions in”
Topological Semimetals in Square-Net Materials (2018, background): “Journal of the American Chemical Society, 127(18):6510–6511, 2005.”
Notes on Anomaly Induced Transport (2016, background): “Of course these are not ordinary metals but very special ones in which the Fermi surface lies at or very near linear band touching points [16, 17, 18].”
Recent developments in transport phenomena in Weyl semimetals (2013, background): “In the last couple of years, there has been growing interest in a seemingly close cousin of graphene – the socalled Weyl semimetal (WSM) (Wan et al. [38], Witczak-Krempa and Kim [42], Chen and Hermele [6], Turner and Vishwanath [33], Vafek and Vishwanath [35], Volovik [37], Heikkila et al. [15]).”