Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals

Abstract

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T${}_c$ superconductors to the topological insulators and beyond, various electronic systems exhibit properties which 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, real physics of real 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. While 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.

46 pages, 7 figures. Manuscript submitted to Annual Reviews of Condensed Matter Physics

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Cited by in corpus (393)

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• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Recent developments in transport phenomena in Weyl semimetals
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Transport evidence for Fermi-arc mediated chirality transfer in the Dirac semimetal Cd${}_3$As${}_2$
• Discovery of topological chiral crystals with helicoid arc states
• Topological semi-metals with line nodes and drumhead surface states
• Novel effects of strains in graphene and other two dimensional materials
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Photocurrents in Weyl semimetals
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Topological states of non-Hermitian systems
• Electronic Transport and quantum oscillation of Topological Semimetals
• Topological Semimetals from first-principles
• Quantum transport in Rashba spin-orbit materials: A review
• Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetals
• Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Chemical Principles of Topological Semimetals
• Topological surface states and Fermi arcs of the noncentrosymmetric Weyl semimetals TaAs, TaP, NbAs, and NbP
• Detection of sub-MeV Dark Matter with Three-Dimensional Dirac Materials
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Chiral anomaly and optical absorption in Weyl semimetals
• Light control with Weyl semimetals
• Large linear magnetoresistance in the Dirac semimetal TlBiSSe
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Are the double Fermi arcs of Dirac semimetals topologically protected?
• Antichiral edge states in a modified Haldane nanoribbon
• Unified theory of PT and CP invariant topological metals and nodal superconductors
• Evidence for a strain tuned topological phase transition in ZrTe5
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
• Perspective on topological states of non-Hermitian lattices
• Topological Semimetals in Square-Net Materials
• Surface plasmon polaritons in topological Weyl semimetals
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• Magneto-transport phenomena related to the chiral anomaly in Weyl semimetals
• Chiral terahertz wave emission from the Weyl semimetal TaAs
• Magnon Dirac materials
• Evolution of Weyl orbit and quantum Hall effect in Dirac semimetal Cd3As2
• Non-Abelian Dirac node braiding and near-degeneracy of correlated phases at odd integer filling in magic angle twisted bilayer graphene
• Time-reversal invariant topological superconductivity in doped Weyl semimetals
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
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• A Charge-Density-Wave Topological Semimetal
• Dirac semimetal in type IV magnetic space group
• Fermion-induced quantum critical points
• Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
• Type-II Weyl cone transitions in driven semimetals
• Theory of Kerr and Faraday rotations and linear dichroism in Topological Weyl Semimetals
• RG Flows and Bifurcations
• A New Type of Quantum Criticality in the Pyrochlore Iridates
• Tunable circular dichroism due to the chiral anomaly in Weyl semimetals
• Three-dimensional Dirac Phonons with Inversion Symmetry
• Weyl semimetals with short-range interactions
• Flat optical conductivity in ZrSiS due to two-dimensional Dirac bands
• On the Phase Structure of Many-Flavor QED${}_3$
• Topological Luttinger Liquids from Decorated Domain Walls
• Antiferromagnetism and superconductivity in the half-Heusler semimetal HoPdBi
• Theory of photoinduced Floquet Weyl semimetal phases
• Thermoelectric transport in double-Weyl semimetals
• Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
• Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
• Chiral anomaly and giant magnetochiral anisotropy in noncentrosymmetric Weyl semimetals
• Longitudinal negative magnetoresistance and magneto-transport phenomena in conventional and topological conductors
• Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Critical behavior of Dirac fermions from perturbative renormalization
• Observation of Fermi Arcs in non-Centrosymmetric Weyl Semi-metal Candidate NbP
• The Dirac-Weyl semimetal: Coexistence of Dirac and Weyl fermions in polar hexagonal $ABC$ crystals
• The holographic Weyl semi-metal
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Route Towards Dirac and Weyl Antiferromagnetic Spintronics
• Quantum Metric and Correlated States in Two-dimensional Systems
• Observation of quasi-two-dimensional Dirac fermions in ZrTe5
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
• Interplay of Dirac electrons and magnetism in AMnBi2 (A=Ca, Sr)
• Observation of giant spin-split Fermi-arc with maximal Chern number in the chiral topological semimetal PtGa
• Quantum phase transition between a topological and a trivial semimetal from holography
• Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
• Magnetic torque anomaly in the quantum limit of the Weyl semi-metal NbAs
• Type-II Dirac Photons
• Quantum oscillations without magnetic field
• Two- and one-dimensional gap solitons in spin-orbit-coupled systems with Zeeman splitting
• Phase diagram of electronic systems with quadratic Fermi nodes in $2<d<4$: $2+\epsilon$ expansion, $4-\epsilon$ expansion, and functional renormalization group
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Transversal magnetoresistance in Weyl semimetals
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Emergent Weyl nodes and Fermi arcs in a Floquet Weyl semimetal
• Floquet dynamics in light-driven solids
• Optical properties of a semi-Dirac material
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Fermion-induced quantum criticality in two-dimensional Dirac semimetals: Non-perturbative flow equations, fixed points and critical exponents
• Type-II Weyl Points in Three-Dimensional Cold Atom Optical Lattices
• Pressure tuning the Fermi-surface topology of the Weyl semimetal NbP
• Revealing puddles of electrons and holes in compensated topological insulators
• Magnetoresistance and Quantum Oscillations of an Electrostatically Tuned Semimetal-to-Metal Transition in Ultra-Thin WTe2
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• Topological Photonic Tamm-States and the Su-Schrieffer-Heeger Model
• Superconducting proximity effect and Majorana flat bands in the surface of a Weyl semimetal
• Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
• X-ray scattering study of pyrochlore iridates: crystal structure, electronic and magnetic excitations
• Visualizing the chiral anomaly in Dirac and Weyl semimetals with photoemission spectroscopy
• Gauge-field-assisted Kekulé quantum criticality
• Large magnetoresistance in type-II Weyl semimetal WP${}_2$
• Topological spinon semimetals and gapless boundary states in three dimensions
• Odd viscosity in the quantum critical region of a holographic Weyl semimetal
• Two-Dimensional Lattice Model for the Surface States of Topological Insulators
• Quantization of charged fields in the presence of critical potential steps
• Strain-engineering the topological type-II Dirac semimetal NiTe${}_2$
• Square-root topological semimetals
• Anomalous Hall and Nernst effects in epitaxial films of topological kagome magnet Fe3Sn2
• Topological semimetals in the SnTe material class: Nodal lines and Weyl points
• Unraveling the Topological Phase of ZrTe${}_5$ via Magneto-infrared Spectroscopy
• Phonon analogue of topological nodal semimetals
• Dirac semimetals $A_{3}Bi$ ($A$=Na,K,Rb) as $Z_2$ Weyl semimetals
• Floquet Weyl fermions in circularly-polarised-light-irradiated three-dimensional stacked graphene systems
• Instabilities of Weyl-loop semi-metals
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Landau level spectroscopy of massive Dirac fermions in single-crystalline ZrTe5 thin flakes
• Weyl Superfluidity in a Three-dimensional Dipolar Fermi Gas
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• Topological magnetic phase in LaMnO${}_3$ (111) bilayer
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Dirac electrons in the square lattice Hubbard model with a $d$-wave pairing field: chiral Heisenberg universality class revisited
• Chiral nodes and oscillations in the Josephson current in Weyl semimetals
• Optical emission of graphene and electron-hole pair production induced by a strong THz field
• Impact of antiferromagnetic order on Landau level splitting of quasi-two-dimensional Dirac fermions in EuMnBi${}_2$
• Quantum phase transitions in Dirac fermion systems
• Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
• Hyperbolic non-Abelian semimetal
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Recipe for single-pair-Weyl-points phonons carrying the same chiral charges
• Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Deformation and Stability of Surface States in Dirac semimetals
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Detecting Topological Quantum Phase Transitions via the c-Function
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Chiral separation and chiral magnetic effects in a slab: The role of boundaries
• Surface Fermi arcs in $Z_2$ Weyl semimetals $A_{3}Bi$ (A=Na, K, Rb)
• From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
• Fermions in Boundary Conformal Field Theory : Crossing Symmetry and $\epsilon$-Expansion
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Theory of magnetic oscillations in Weyl semimetals
• Single pair of Weyl nodes in the spin-canted structure of EuCd${}_2$As${}_2$
• Magneto-polaritons in Weyl semimetals in a strong magnetic field
• Exactly solvable cases in QED with t-electric potential steps
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Chiral-Symmetry Breaking in Pseudo Quantum Electrodynamics at Finite Temperature
• Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
• Imaging electronic states on topological semimetals using scanning tunneling microscopy
• Coexistence of Fermi arcs with two dimensional gapless Dirac states
• Granular Superconductor in a honeycomb lattice as a realization of Bosonic Dirac Material
• Kondo Effect with Weyl Semimetal Fermi Arcs
• Landau quantization in coupled Weyl points: a case study of semimetal NbP
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Towards the manipulation of topological states of matter: A perspective from electron transport
• Light-driven Lifshitz transitions in non-Hermitian multi-Weyl semimetals
• Axial Magnetoelectric Effect in Dirac semimetals
• Chiral Hall effect in strained Weyl semimetals
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Observation of one-dimensional Dirac fermions in silicon nanoribbons
• Spatially modulated and supersymmetric deformations of ABJM theory
• Nodal Semimetals: A Survey on Optical Conductivity
• Vacuum instability in slowly varying electric fields
• Density of states and magnetotransport in Weyl semimetals with long-range disorder
• Spindynamics in the antiferromagnetic phases of the Dirac metals $A$MnBi${}_2$ ($A=$ Sr, Ca)
• Electronic properties of disordered Weyl semimetals at charge neutrality
• Spiraling Fermi arcs in Weyl materials
• Charge-spin response and collective excitations in Weyl semimetals
• Pseudomagnetic lens as a valley and chirality splitter in Dirac and Weyl materials
• Scattering and pair creation by a constant electric field between two capacitor plates
• Charge-Induced Spin Torque in Anomalous Hall Ferromagnets
• Hydrodynamic modes in a magnetized chiral plasma with vorticity
• Momentum dependence of quantum critical Dirac systems
• Crystal growth and characterization of the pyrochlore Tb${}_2$Ti${}_2$O${}_7$
• Hexagonally warped exceptional physics in multi-Weyl semimetals
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Fermi-liquid theory and Pomeranchuk instabilities: fundamentals and new developments
• Quantum phase transition between topologically distinct quantum critical points
• Unified Topological Response Theory for Gapped and Gapless Free Fermions
• Chern numbers and chiral anomalies in Weyl butterflies
• Weyl-like points from band inversions of spin-polarised surface states in NbGeSb
• Displacement and annihilation of Dirac gap-nodes in d-wave iron-based superconductors
• Robust Weyl semimetallic phase in face-centered orthogonal C6 with helical carbon chains
• Particle creation by peak electric field
• Floquet spectrum and driven conductance in Dirac materials: Effects of Landau-Zener-Stückelberg-Majorana interferometry
• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Supersymmetric Dirac-Hamiltonians in $(1+1)$ dimensions revisited
• Flat-band solutions in $D$-dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
• Effects of anisotropy and disorder on the conductivity of Weyl semimetals
• Excitonic mass gap in uniaxially strained graphene
• Topological corner modes in a brick lattice with nonsymmorphic symmetry
• Landau levels with magnetic tunnelling in Weyl semimetal and magnetoconductance of ballistic $p$-$n$ junction
• Pair production from the vacuum by a weakly inhomogeneous space-dependent electric potential step
• Fu-Kane-Mele monopoles in semimetals
• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Tomonaga-Luttinger liquid and localization in Weyl semimetals
• Torus Spectroscopy of the Gross-Neveu-Yukawa Quantum Field Theory: Free Dirac versus Chiral Ising Fixed Point
• Uncovering Weyl Fermions in the Quantum Limit of NbP
• Quantum oscillations as a probe of interaction effects in Weyl semimetals in a magnetic field
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Superconductivity in two-dimensional disordered Dirac semimetals
• Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
• Zero-energy vortices in Dirac materials
• Correlated spin liquids in the quantum kagome antiferromagnet at finite field: a renormalisation group analysis
• On the topological character of three-dimensional Nexus triple point degeneracies
• Dynamic chiral magnetic effect and Faraday rotation in macroscopically disordered helical metals
• Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid ${}^3$He-A
• Enhancing thermopower and Nernst signal of high-mobility Dirac carriers by Fermi level tuning in the layered magnet EuMnBi${}_2$
• Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
• Colossal anomalous Hall and Nernst effect from the breaking of nodal-line symmetry in Cu2CoSn Weyl semimetal: A first-principles study
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
• Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes
• Induced fermionic charge and current densities in two-dimensional rings
• Magnetotransport and internodal tunnelling in Weyl semimetals
• Nonlinear chiral transport from holography
• Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact $1/N_f$ exponents
• Magnetic-Field Induced Semimetal in Topological Crystalline Insulator Thin Films
• Stability of the Weyl-semimetal phase on the pyrochlore lattice
• Quantum oscillations in Weyl semimetals - a surface theory approach
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Twisted bilayer graphene at charge neutrality: competing orders of SU(4) Dirac fermions
• Transparent mirror effect in twist-angle-disordered bilayer graphene
• Shear Viscosity in a Non-Fermi Liquid Phase of a Quadratic Semimetal
• Quantum Floquet anomalous Hall states and quantized ratchet effect in one-dimensional dimer chain driven by two ac electric fields
• Landau levels in curved space realized in strained graphene
• Demonstration of Hopf-link semimetal bands with superconducting circuits
• Interacting Weyl semimetals on a lattice
• Phase transition with trivial quantum criticality in anisotropic Weyl semimetal
• Role of f-d exchange interaction and Kondo scattering in Nd doped pyrochlore Iridate (Eu1-xNdx)2Ir2O7
• Nonperturbative Dyson-Schwinger equation approach to strongly interacting Dirac fermion systems
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Many-body instabilities and mass generation in slow Dirac materials
• Topology of 2D Dirac operators with variable mass and an application to shallow-water waves
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Spin triplet superconducting pairing in doped MoS${}_2$
• Identification of strongly interacting organic semimetals
• Nodal topology in $d$-wave superconducting monolayer FeSe
• Gradient resummation for nonlinear chiral transport: an insight from holography
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Universal properties of many-body quantum chaos at Gross-Neveu criticality
• Multi-terminal Conductance at the Surface of a Weyl Semimetal
• Generating surface states in a Weyl semi-metal by applying electromagnetic radiation
• Klein tunneling and magnetoresistance of \textit{p-n} junctions in Weyl semimetals
• Existence of Dirac cones in Brillouin zone of diperiodic atomic crystals according to group theory
• Weyl semimetallic phase in an interacting lattice system
• Interacting Dirac Materials
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Photo-induced SU(3) topological material of spinless fermions
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Spin dynamics of a magnetic Weyl semimetal Sr${}_{1-x}$Mn${}_{1-y}$Sb${}_2$
• Violation of vacuum stability by inverse square electric fields
• Surface Luttinger arcs in Weyl semimetals
• High-field Studies on Layered Magnetic and Polar Dirac Metals
• A numerically exact study of Weyl superconductivity
• Regular and irregular dynamics of Dirac-Weyl wavepackets in a mesoscopic quantum dot at the edge of topological insulator
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Towards the theory of types III and IV non-Hermitian Weyl fermions
• Magneto-optic signatures in the gapped Dirac semimetal with mixed linear and parabolic dispersions of ZrTe5
• Linking structures of doubly charged nodal surfaces in centrosymmetric superconductors
• Hamiltonian models of lattice fermions solvable by the meron-cluster algorithm
• Chiral filtration of light by Weyl-semimetal medium
• On the nature of the magnetic phase transition in a Weyl semimetal
• Nonlinearity and Topology
• Effect of chiral anomaly on the circular dichroism and Hall angle in doped and tilted Weyl semimetals
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Emulating topological currents arising from a dipolar parity anomaly in two-dimensional optical lattices
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• An extended $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator for detecting and characterizing the Chiral Magnetic Wave
• Electronic properties in a quantum well structure of Weyl semimetal
• The phase diagram of a two-dimensional dirty tilted Dirac semimetal
• Magnetic field tuning of the valley population in the Weyl phase of Nd${}_2$Ir${}_2$O${}_7$
• Atomic Collapse in Graphene: Lost of Unitarity
• Tip-induced Superconductivity
• Strong Anisotropy of Dirac Cone in SrMnBi2 and CaMnBi2 Revealed by Angle-Resolved Photoemission Spectroscopy
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• Triply degenerate nodal lines in topological and non-topological metals
• Emergence of exceptional points and their spectroscopic signature in Dirac semimetal-dirty Superconductor heterojunction
• Topological physics in quantum critical systems
• Robustness of the semimetal state of Na3Bi and Cd3As2 against Coulomb interaction
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Landau quantization in tilted Weyl semimetals with broken symmetry
• Nodal surface and persistent spin texture in a Weyl semimetal without mirror symmetry
• SU(3) fermions in a three-band Graphene-like model
• Theory of Weyl orbital semimetals and predictions of several materials classes
• Scale symmetry breaking and generation of mass at quantum critical points
• Spin density wave order in interacting type-I and type-II Weyl semimetals
• Analog of cosmological particle production in Dirac materials
• Emergence of Topological Superconductivity in Doped Topological Dirac Semimetals under Symmetry-Lowering Lattice Distortions
• Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
• Anomalous Surface Conductivity of Weyl Semimetals
• Winding numbers of nodal points in Fe-based superconductors
• Negative-U Superconductivity on the Surface of Topological Insulators
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Quantum Nonlinear Acoustic Hall Effect and Inverse Acoustic Faraday Effect in Dirac Insulators
• Reflectionless Klein tunneling of Dirac fermions: Comparison of split-operator and staggered-lattice discretization of the Dirac equation
• Phonon helicity and Nieh-Yan Anomaly in the Kramers-Weyl semimetals of Chiral Crystals
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Topological Insulators from Electronic Superstructures
• Induction of Large Magnetic Anisotropy Energy and Formation of Multiple Dirac States in SrIrO${}_3$ Films: Role of correlation and spin-orbit coupling
• Photon emission in the graphene under the action of a quasiconstant external electric field
• Theory of interaction-induced renormalization of Drude weight and plasmon frequency in chiral multilayer graphene
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Electron-hole pairing of Fermi-arc surface states in a Weyl-semimetal bilayer
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• Schwinger mechanism of magnon-antimagnon pair production on magnetic field inhomogeneities and the bosonic Klein effect
• Topological strings linking with quasi-particle exchange in superconducting Dirac semimetals
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Strong-coupling superconductivity near Gross-Neveu quantum criticality in Dirac systems
• Pauli-Term-Induced Fixed Points in $d$-dimensional QED
• Electronic scattering, focusing, and resonance by a spherical barrier in Weyl semimetals
• Cascade of phase transitions in a planar Dirac material
• Dynamical Gap Generation in Topological Insulators
• Speed-of-light pulses in a nonlinear Weyl equation
• Correlated interaction effects in three-dimensional semi-Dirac semimetal
• Magneto-optical evidence of tilting effect in coupled Weyl bands
• Fermion dispersion renormalization in a two-dimensional semi-Dirac semimetal
• Hot dense magnetized ultrarelativistic spinor matter in a slab
• States of charged quantum fields and their statistical properties in the presence of critical potential steps
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Perfect valley polarization in MoS2
• Continued functions and critical exponents: Tools for analytical continuation of divergent expressions in phase transition studies
• Magnetic monopole in a chiral plasma: chiral dyon
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• On the chiral separation effect in a slab
• Dissipative Berry phase effect in quantum tunneling
• Relaxation operator for quasiparticles in a solid
• Hopf Semimetals
• Quantum diffusion of a relativistic particle in a time-dependent random potential
• 3D $Z_2$ Topological Nodes in Nonsymmorphic Photonic Crystals: Ultrastrong Coupling and Anomalous Refraction
• Anomalous Linear and Quadratic Nodeless Surface Dirac Cones in Three-Dimensional Dirac Semimetals
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Fermion Mass Generation without Symmetry Breaking
• Longitudinal magnetoconductivity and magnetodielectric effect in bilayer graphene
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Spin-to-charge conversion in orthorhombic RhSi topological semimetal crystalline thin films
• Reconstruction of surface electron spectrum and cyclotron motion in the CDW phase of Weyl semimetals
• Efficiency of dynamos from an autonomous generation of chiral asymmetry
• Two types of superconducting pairs in stripe-ordered La${}_{2-x}$Ba${}_x$CuO${}_4$ ($x=1/8$): evidence from the resistivity measurements
• Vortical effects in chiral band structures
• The Superconducting and Pseudogap Phase Diagram of High-Tc Cuprates
• Exact energy quantization condition for single Dirac particle in one-dimensional (scalar) potential well
• Mott Criticality as the Confinement Transition of a Pseudogap-Mott Metal
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Stability of the Néel quantum critical point in the presence of Dirac fermions
• Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
• 125Te spin-lattice relaxation in a candidate to Weyl semimetals WTe2
• Chiral effects in magnetized quantum spinor matter in particle and astroparticle physics
• Gauge-covariant Raychaudhuri dynamics for spin-nondegenerate Lorentz-violating congruences
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
• Holographic Topological Semimetals
• Holographic entanglement renormalisation for fermionic quantum matter
• Vacuum instability in QED with an asymmetric x-step. New example of exactly solvable case
• Optical conductivity of a Dirac-Fermi liquid
• Phase transition from Weyl to self-linked semimetal using bi-circular laser
• Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas
• Quantification of the Chiral Magnetic Effect in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Spontaneous symmetry breaking of $\mathrm{SO}(2N)$ in Gross--Neveu theory from $2+\epsilon$ expansion
• Weyl nodes in periodic structures of superconductors and spin active materials
• Floquet second-order topological insulator in strained graphene
• Fermionic criticality with enlarged fluctuations in Dirac semimetals
• Thermo-magneto-electric transport through a torsion dislocation in a type I Weyl Semimetal
• Noncommutative integration of the Dirac equation in homogeneous spaces
• Interplay of interactions and disorder at the charge-density wave transition of two-dimensional Dirac semimetals