Universal Signatures of Majorana-like Quasiparticles in Strongly Correlated Landau-Fermi Liquids
arXiv:1903.00619 · doi:10.1088/1361-648X/abaeb0
Abstract
Motivated by recent experiments in the Kitaev honeycomb lattice, Kondo insulators, and the "Luttinger's theorem-violating" Fermi liquid phase of the underdoped cuprates, we extend the theoretical machinery of Landau-Fermi liquid theory to a system of itinerant, interacting Majorana-like particles. Building upon a previously introduced model of "nearly self-conjugate" fermionic polarons, a Landau-Majorana kinetic equation is introduced to describe the collective modes and Fermi surface instabilities in a fluid of particles whose fermionic degrees of freedom obey the Majorana reality condition. At large screening, we show that the Landau-Majorana liquid harbors a Lifshitz transition for specific values of the driving frequency. Moreover, we find the dispersion of the zero sound collective mode in such a system, showing that there exists a specific limit where the Landau-Majorana liquid harbors a stability against Pomeranchuk deformations unseen in the conventional Landau-Fermi liquid. With these results, our work paves the way for possible extensions of the Landau quasiparticle paradigm to nontrivial metallic phases of matter.
arXiv comment31 pages, 4 figures. Previously titled "Collective Excitations and Robust Stability in a Landau-Majorana Liquid"
References in corpus (51)
- Non-Abelian Anyons and Topological Quantum Computation
- Anyons in an exactly solved model and beyond
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Majorana Zero Modes and Topological Quantum Computation
- Fermionic quantum computation
- Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
- Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
- d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
- Quantum Theory of a Nematic Fermi Fluid
- Fractionalized Fermi liquids
- Evidence for a spinon Fermi surface in a triangular lattice quantum spin liquid candidate
- Observation of pseudogap behavior in a strongly interacting Fermi gas
- Are non-Fermi-liquids stable to Cooper pairing?
- Unconventional Fermi surface in an insulating state
- Thermal fractionalization of quantum spins in a Kitaev model: -linear specific heat and coherent transport of Majorana fermions
- Observation of a pairing pseudogap in a two-dimensional Fermi gas
- Fermi liquid instabilities in the spin channel
- Particle-Hole Symmetry Breaking in the Pseudogap State of Bi2201
- Two-dimensional higher-order topology in monolayer graphdiyne
- Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
- Giant thermal Hall conductivity from neutral excitations in the pseudogap phase of cuprates
- Evidence for pairing above Tc from the dispersion in the pseudogap phase of cuprates
- ARPES studies of cuprate Fermiology: superconductivity, pseudogap, and quasiparticle dynamics
- Pedestrian Approach to the Two-Channel Kondo Model
- Fermi surface in the absence of a Fermi liquid in the Kondo insulator SmB
- Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
- Samarium hexaboride: A trivial surface conductor
- New Fermionic Description of Quantum S = 1/2 Antiferromargnet
- Probing the Spectral Function Using Momentum Resolved Radio Frequency Spectroscopy in Trapped Fermi Gases
- Universal Short-Distance Structure of the Single-Particle Spectral Function of Dilute Fermi Gases
- Thermodynamic Evidence of Proximity to a Kitaev Spin-Liquid in AgLiIrO
- Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
- Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
- Competition of Fermi surface symmetry breaking and superconductivity
- Heavy surface state in a possible topological Kondo insulator: Magneto-thermoelectric transport on the (011)-plane of SmB
- Theory of Radio Frequency Spectroscopy Experiments in Ultracold Fermi Gases and Their Relation to Photoemission Experiments in the Cuprates
- Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
- Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
- Majorana Fermion Representation For An Antiferromagnetic Spin-1/2 Chain
- Pseudogap phenomena in ultracold atomic Fermi gases
- Robustness of a local Fermi Liquid against Ferromagnetism and Phase Separation
- Number-conserving interacting fermion models with exact topological superconducting ground states
- Global Phase Diagram and Momentum Distribution of Single-Particle Excitations in Kondo insulators
- Scalar quanta in Fermi liquids: zero sounds, instabilities, Bose condensation, and a metastable state in dilute nuclear matter
- Analytic ground state wavefunctions of mean-field superconductors with vortices and boundaries
- The 'Higgs' amplitude mode in weak ferromagnetic metals
- Realizing Universal Majorana Fermionic Quantum Computation
- Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
- Superconductivity near Pomeranchuk instabilities in the spin channel