Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
arXiv:2407.03404 · doi:10.1103/PhysRevB.110.245122
Abstract
We theoretically study the nonlinear optical response of ABC trilayer graphene with inversion symmetry broken by the application of a displacement field perpendicular to the trilayer. We show that rhombohedral trilayer graphene exhibits a large bulk photovoltaic effect arising from a DC shift current response. The conductivity of the trilayer contains features similar to AB bilayer graphene as well as features distinct from AB bilayer graphene. The new features of ABC trilayer graphene relative to AB bilayer graphene arise from the quantum geometric features of the electronic band structure and can be tuned by varying the displacement field. We focus on a regime of displacement field where certain band gaps close and reopen away from the charge neutrality point leading to drastic changes in the quantum geometric structure in momentum space, a feature characteristic of the trilayer graphene band structure. These features manifest as a sign change in shift current conductivity in a certain frequency window and can thus serve as a probe of quantum geometry.
15 pages, 12 figures
References in corpus (61)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Graphene: Status and Prospects
- Berry Phase Effects on Electronic Properties
- Electronic transport in two dimensional graphene
- The electronic properties of bilayer graphene
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Quantized circular photogalvanic effect in Weyl semimetals
- Observation of an electrically tunable band gap in trilayer graphene
- Proximity-induced ferromagnetism in graphene revealed by anomalous Hall effect
- Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
- Stacking-Dependent Band Gap and Quantum Transport in Trilayer Graphene
- Carrier scattering, mobilities and electrostatic potential in mono-, bi- and tri-layer graphenes
- Electronic properties of graphene-based bilayer systems
- Superconductivity in rhombohedral trilayer graphene
- Band Structure of ABC-Stacked Graphene Trilayers
- Graphene-Based Integrated Photonics For Next-Generation Datacom And Telecom
- Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
- Design principles for shift current photovoltaics
- A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
- Dependence of band structures on stacking and field in layered graphene
- Superfluidity and Quantum Geometry in Twisted Multilayer Systems
- Electronic properties of bilayer and multilayer graphene
- Light-induced emergent phenomena in 2D materials and topological materials
- The Insulating State of Matter: A Geometrical Theory
- Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
- Topology and geometry under the nonlinear electromagnetic spotlight
- Electronic phase separation in topological surface states of rhombohedral graphite
- Consequences of Time-reversal-symmetry Breaking in the Light-Matter Interaction: Berry Curvature, Quantum Metric and Diabatic Motion
- Photocurrent as a multi-physics diagnostic of quantum materials
- Orbital Multiferroicity in Pentalayer Rhombohedral Graphene
- Landau Level Spectrum of ABA- and ABC-stacked Trilayer Graphene
- Topological and geometrical aspects of band theory
- Enhancement of bulk photovoltaic effect in topological insulators
- Stacking-order dependent transport properties of trilayer graphene
- Quantum geometry induced second harmonic generation
- Stacking-dependent electronic structure of trilayer graphene resolved by nanospot angle-resolved photoemission spectroscopy
- Topological and stacked flat bands in bilayer graphene with a superlattice potential
- Fundamental bound on topological gap
- Colossal switchable photocurrents in topological Janus transition metal dichalcogenides
- Spin and Orbital Metallic Magnetism in Rhombohedral Trilayer Graphene
- Hyperbolic enhancement of photocurrent patterns in minimally twisted bilayer graphene
- Are there universal signatures of topological phases in high harmonic generation? Probably not
- Gapped broken symmetry states in ABC trilayer graphene
- Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
- Twisted photovoltaics at terahertz frequencies from momentum shift current
- Effect of bilayer stacking on the atomic and electronic structure of twisted double bilayer graphene
- Ferromagnetism in ABC-trilayer graphene
- Correlated Phases in Spin-Orbit-Coupled Rhombohedral Trilayer Graphene
- Superconductivity of disordered Dirac fermions in graphene
- Spin polarized nematic order, quantum valley Hall states, and field tunable topological transitions in twisted multilayer graphene systems
- Multilayer graphene with a superlattice potential
- Relative Stability of Bernal and Rhombohedral Stackings in Trilayer Graphene under Distortions
- Nonlinear optical responses in noncentrosymmetric superconductors
- Gate-tunable topological phases in superlattice modulated bilayer graphene
- Dual-gated graphene devices for near-field nano-imaging
- Strong correlations in ABC-stacked trilayer graphene: Moiré is important
- Hybrid-functional electronic structure of multilayer graphene
- Atomic configuration controlled photocurrent in van der Waals homostructures
- Nonlinear optical responses in multi-orbital topological superconductors
- Unconventional Metallic Magnetism: Non-analyticity and Sign-changing Behavior of Orbital Magnetization in ABC Trilayer Graphene