Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3

Abstract

We investigate a generalized two-dimensional Weyl Hamiltonian, which may describe the low-energy properties of mechanically deformed graphene and of the organic compound alpha-(BEDT-TTF)_2I_3 under pressure. The associated dispersion has generically the form of tilted anisotropic Dirac cones. The tilt arises due to next-nearest-neighbor hopping when the Dirac points, where the valence band touches the conduction band, do not coincide with crystallographic high-symmetry points within the first Brillouin zone. Within a semiclassical treatment, we describe the formation of Landau levels in a strong magnetic field, the relativistic form of which is reminiscent to that of graphene, with a renormalized Fermi velocity due to the tilt of the Dirac cones. These relativistic Landau levels, experimentally accessible via spectroscopy or even a quantum Hall effect measurement, may be used as a direct experimental verification of Dirac cones in alpha-(BEDT-TTF)_2I_3.

11 pages, 5 figures; version accepted for publication in PRB, contains a more detailed discussion of the zero-energy Landau level in the presence of the tilt, technical parts shifted to the appendix

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• Topological phase transitions driven by next-nearest-neighbor hopping in two-dimensional lattices
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• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
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• Electric field-induced valley degeneracy lifting in uniaxial strained graphene: evidence from magnetophonon resonance
• Circuit realization of tilted Dirac cone: A platform for fabrication of curved spacetime geometry on a chip
• Transport properties of organic Dirac electron system α-(BEDT-TSeF)${}_2$I${}_3$
• Photo-induced valley currents in strained graphene
• Condition for the emergence of a bulk Fermi arc in disordered Dirac-fermion systems
• Quantum kinetic theory of quadratic responses
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Observation of Possible Nonlinear Anomalous Hall Effect in Organic Two-Dimensional Dirac Fermion System
• Van der Waals forces and electron-electron interactions in two strained graphene layers
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• Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system
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• Bulk-edge correspondence with generalized chiral symmetry
• Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice
• Domain Wall Conductivity with strong Coulomb interaction of two-dimensional massive Dirac Electrons in the Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Generalization of Chiral Symmetry for Tilted Dirac Cones
• Gap opening mechanism for correlated Dirac electrons in organic compounds $\alpha$-(BEDT-TTF)${}_2$I${}_3$ and $\alpha$-(BEDT-TSeF)${}_2$I${}_3$
• On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
• Topological BF description of 2D accelerated chiral edge modes
• Edge states in the three-quarter filled system, $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Topologically protected Landau levels in bilayer graphene in finite electric fields
• Optical valley separation in two-dimensional semimetals with tilted Dirac cones
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene
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• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• Lattice realization of the generalized chiral symmetry in two dimensions
• Electro-Optics of Current-carrying Graphene
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• Kohn anomaly of optical zone boundary phonons in uniaxial strained graphene: role of the electronic band structure
• Interplay between tilt, disorder, and Coulomb interaction in type-I Dirac fermions
• Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials
• Effective Medium Model for Graphene Superlattices with Electrostatic and Magnetic Vector Potentials
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• Rashba-splitting of the Dirac points and the symmetry breaking in the strained artificial graphene
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• Effect of Coulomb Interaction on Seebeck Coefficient of Organic Dirac Electron System $\alpha$-(BEDT-TTF)${}_2$I${}_3$
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• Tunneling chirality Hall effect in type-I Weyl semimetals
• Anomalous conductivity of two-dimensional Dirac electrons in organic conductor under pressures
• The phase diagram of a two-dimensional dirty tilted Dirac semimetal
• Unconventional thermoelectric transport in tilted Weyl semimetals
• 2D Weyl Materials in the Presence of Constant Magnetic Fields
• Spatial anisotropy of Kondo screening cloud in a type-II Weyl semimetal
• Evidence for three-dimensional Dirac semimetal state in strongly correlated organic quasi-two-dimensional material
• Long-wavelength optical phonon behavior in uniaxial strained graphene: Role of electron-phonon interaction
• Tilted Dirac Cones in Two-Dimensional Materials: Impact on Electron Transmission and Pseudospin Dynamics
• Interlayer magnetoresistance in multilayer Dirac electron systems: motion and merging of Dirac cones
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems
• Pressure effects on Dirac fermions in α-(BEDT-TTF)2I3
• Seebeck Effect of Dirac Electrons in Organic Conductors under Hydrostatic Pressure Using a Tight-Binding Model Derived from First Principles
• Insights into thermal transport property of monolayer C${}_4$N${}_3$H: a first-principles study
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Holographic Hydrodynamics of {\it Tilted} Dirac Materials
• Magnetic Field Effect on Strained Graphene Junctions
• An algorithm for exact analytical solutions for tilted anisotropic Dirac materials
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• First order phase transitions within Weyl type of materials at low temperatures
• Spin-Ordered States in Multilayer Massless Dirac Fermion Systems
• Density of states and differential entropy in Dirac materials in crossed magnetic and in-plane electric fields
• Smart Holes: Analogue black holes with the right temperature and entropy
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems
• Fast nuclear spin relaxation rates in tilted cone Weyl semimetals: Redshift factors from Korringa relation
• Energy quantization at the "three-quarter Dirac point" in a magnetic field
• Nernst Thermopower of Time-Reversal Breaking Type-II Weyl Semimetals
• Upper magnetic field in superconducting Dirac semi-metal
• Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in Weyl semimetals with tilted energy dispersion
• Fermion dispersion renormalization in a two-dimensional semi-Dirac semimetal
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Tilted Dirac Fermions
• Seebeck Coefficient of Two-dimensional Dirac Electrons in Organic Conductor under Pressure
• Observations of $\nu =1$ Quantum Hall Effect and Inter-Band Effects of Magnetic fields on Hall Conductivity in Organic Massless Dirac Fermion System $\alpha$-(BETS)${}_2$I${}_3$ under Pressure
• Magneto-thermoelectricty of anisotropic two-dimensional materials
• Singular low-energy states of tilted Dirac semimetals induced by the fermion-fermion interactions
• Semimetallic and semiconducting graphene-hBN multilayers with parallel or reverse stacking
• Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
• Spin-Orbit Coupling Effect on the Seebeck Coefficient in Dirac Electron Systems in $\alpha$-(BETS)${}_2$I${}_3$
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Time-Reversal Symmetry-Breaking Flux State in an Organic Dirac Fermion System
• Electronic transport in graphene with particle-hole-asymmetric disorder
• Direct Observation of Strongly Tilted Dirac Points at General Positions in the Reciprocal Space
• Disorder correction to the minimal conductance of a nodal-point semimetal
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Designer gapped and tilted Dirac cones in lateral graphene superlattices
• Critical fates induced by the interaction competition in three-dimensional tilted Dirac semimetals
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect
• Aslamazov Larkin Conductivity in Weyl Semimetals
• Ambient-Pressure Organic Dirac Electron State in $\alpha$-(BETS)${}_2$AuCl${}_2$
• Fragment-orbital-dependent spin fluctuations in the single-component molecular conductor [Ni(dmdt)${}_2$]
• Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions