Kohn-Luttinger-like mechanism for unconventional charge density waves
arXiv:2407.11621 · doi:10.1103/PhysRevB.111.195157
Abstract
Interaction-induced charge orders with electronic origin occur as states of spontaneously broken symmetry in several materials platforms. An electronic mechanism for charge order requires an attractive component in the effective charge vertex. We put forward such a mechanism for the formation of unconventional charge density waves in a metal. These states result from the condensation of particle-hole pairs with finite wave vector and non-zero angular momentum and correspond to bond or loop current order on a lattice. The mechanism we describe can be viewed as Kohn Luttinger analysis in the particle-hole channel with finite transferred momentum. It incorporates one-loop spin and pairing correctionsn, which are then used as an input for a summation in the charge channel triggering an instability. We extend our analysis to a spin-fluctuation approach, where the effective charge interaction is dressed by the particle-hole ladder with exchanged momentum. We argue that this mechanism works for weakly-interacting metals with nested Fermi surface and a large number of fermion flavors. We apply the Kohn-Luttinger-like approach to square- and triangular-lattice Hubbard models with SU() flavour symmetry and show that it leads to different types of -wave charge density waves. We also study effects beyond weak coupling at and away from Van Hove filling in terms of a phenomenological model with additional exchange interaction. In the vicinity of Van Hove filling, we obtain -wave charge density waves with wave vectors determined by nesting as leading instabilities. In addition, we find another charge density wave with wave vector on the triangular lattice on both sides of Van Hove filling. We demonstrate that this instability can win the competition against pairing for via an unbiased functional renormalisation group calculation.
12+5 pages, 10+1 figures
References in corpus (28)
- CsVSb: a topological kagome metal with a superconducting ground state
- Topological Mott Insulators
- Unconventional Fermi surface instabilities in the Kagome Hubbard Model
- Magnetic order in the pseudogap phase of high- superconductors
- Electron fractionalization in two-dimensional graphenelike structures
- A one-dimensional liquid of fermions with tunable spin
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Ultracold fermions and the SU(N) Hubbard model
- Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
- Quantum textures of the many-body wavefunctions in magic-angle graphene
- Charge order breaks time-reversal symmetry in CsVSb
- Loop currents in VSb kagome metals: multipolar and toroidal magnetic orders
- High Resolution Polar Kerr Effect Studies of CsVSb: Tests for Time Reversal Symmetry Breaking Below the Charge Order Transition
- Competing phases of interacting electrons on triangular lattices in moiré heterostructures
- Conjoined Charge Density Waves in the Kagome Superconductor CsV3Sb5
- Spatial symmetry constraint of charge-ordered kagome superconductor CsVSb
- Broken time-reversal symmetry in strongly correlated ladder structures
- Exotic topological density waves in cold atomic Rydberg fermions
- No Evidence for Orbital Loop Currents in Charge Ordered YBaCuO from Polarized Neutron Diffraction
- Instabilities on graphene's honeycomb lattice with electron-phonon interactions
- Spin Order accompanying Loop-Current Order in Cuprates
- Exploring the spin-orbital ground state of Ba3CuSb2O9
- The kagome Hubbard model from a functional renormalization group perspective
- Low-Energy Electronic Structure in the Unconventional Charge-Ordered State of ScVSn
- Superconductivity due to fluctuating loop currents
- Theories for charge-driven nematicity in kagome metals