Spin susceptibility in interacting two-dimensional semiconductors and bilayer systems at first order: Kohn anomalies and spin density wave ordering

Abstract

This work is an analytic theoretical study of a 2D semiconductor with a Fermi surface that is split by the Zeeman coupling of electron spins to an external magnetic field in the presence of electron-electron interactions. For the first time, we calculate the spin susceptibility for long-range and finite-range interactions diagrammatically, and find a resonant peak structure at the Kohn anomaly already in first-order perturbation theory. In contrast to the density-density correlator that is suppressed due to the large electrostatic energy required to stabilize charge density order, the spin susceptibility does not suffer from electrostatic screening effects, thus favouring spin-density-wave order in 2D semiconductors. Our results impose significant consequences for determining magnetic phases in 2D semiconductors. For example, a strongly enhanced Kohn anomaly may result in helical ordering of magnetic impurities due to the RKKY interaction. Furthermore, the spin degree of freedom can equally represent a layer pseudospin in the case of bilayer materials. In this case, the external "magnetic field" is a combination of layer bias and interlayer hopping. The sharp peak of the 2D static spin susceptibility may then be responsible for dipole-density-wave order in bilayer materials at large enough electron-phonon coupling.

arXiv comment17 pages, 5 figures

References in corpus (55)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Three-band tight-binding model for monolayers of group-VIB transition metal dichalcogenides
• Majorana fermions in chains of magnetic atoms on a superconductor
• Strange metal in magic-angle graphene with near Planckian dissipation
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Electronic properties of graphene-based bilayer systems
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• The germanium quantum information route
• Spin-Layer Locking Effects in Optical Orientation of Exciton Spin in Bilayer WSe2
• Electric field scaling at a B=0 metal-insulator transition in two dimensions
• Metal-insulator transition at B=0 in a dilute two dimensional GaAs-AlGaAs hole gas
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs/AlGaAs at B=0
• Quantum critical behavior in magic-angle twisted bilayer graphene
• Metal Insulator transition at B=0 in p-SiGe
• Giant Stark splitting of an exciton in bilayer MoS${}_2$
• Non-analytic corrections to the Fermi-liquid behavior
• Strong anharmonicity induces quantum melting of charge density wave in 2H-NbSe$\_2$ under pressure
• Spin-Polarized Electrons in Monolayer MoS${}_2$
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Apparent Metallic Behavior at B = 0 of a two-dimensional electron system in AlAs
• Bond order instabilities in a correlated two-dimensional metal
• Generalized Wigner crystallization in moiré materials
• Quantum critical response at the onset of spin density wave order in two-dimensional metals
• Geometric control of universal hydrodynamic flow in a two dimensional electron fluid
• Electronic, optical and transport properties of van der Waals Transition-metal Dichalcogenides Heterostructures: A First-principle Study
• Singular perturbation theory for interacting fermions in two dimensions
• Local Spectroscopic Characterization of Spin and Layer Polarization in WSe${}_2$
• Observation of Spontaneous Ferromagnetism in a Two-Dimensional Electron System
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Dimerization induced by the RKKY interaction
• Evidence from quantum Monte Carlo of large gap superfluidity and BCS-BEC crossover in double electron-hole layers
• Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
• Quantum critical behavior of clean itinerant ferromagnets
• Absence of spontaneous magnetic order of lattice spins coupled to itinerant interacting electrons in one and two dimensions
• Theory of real space imaging of Fermi surfaces
• Spin susceptibility of interacting two-dimensional electrons in the presence of spin-orbit coupling
• Real-space Observation of Incommensurate Spin Density Wave and Coexisting Charge Density Wave on Cr(001) surface
• Quasiparticle effective mass divergence in two dimensional electron systems
• Friedel Oscillations as a Probe of Fermionic Quasiparticles
• Observation of spontaneous valley polarization of itinerant electrons
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Chester supersolid of spatially indirect excitons in double-layer semiconductor heterostructures
• First-order magnetic phase-transition of mobile electrons in monolayer MoS${}_2$
• Ferromagnetic order of nuclear spins coupled to conduction electrons: a combined effect of the electron-electron and spin-orbit interactions
• Strange metal behavior of the Hall angle in twisted bilayer graphene
• Exchange Intervalley Scattering And Magnetic Phase Diagram Of Transition Metal Dichalcogenide Monolayers
• Singular Structure and Enhanced Friedel Oscillations in the Two-Dimensional Electron Gas
• Fluctuation effects at the onset of $2{\mathbf{k}}_{\mathbf{F}}$ density wave order with one pair of hot spots in two-dimensional metals
• Momentum dependence of the spin susceptibility in two dimensions: nonanalytic corrections in the Cooper channel
• Instability of the ferromagnetic quantum critical point in strongly interacting 2D and 3D electron gases with arbitrary spin-orbit splitting
• Edge-induced spin polarization in two-dimensional electron gas
• Exciton solid in bilayer two dimensional electron-hole systems
• Magnetic phase transitions in two-dimensional two-valley semiconductors with in-plane magnetic field

Cited by in corpus (3)

• Topological Interlayer Superconductivity in a van der Waals Heterostructure
• Microscopic Mechanism of Pair-, Charge- and Spin-Density-Wave Instabilities in Interacting D-Dimensional Fermi Liquids
• High-Temperature Superconductivity from Finite-Range Attractive Interaction