Quantum critical points of Helical Fermi Liquids

Abstract

Following our previous work, we study the quantum phase transitions which spontaneously develop ferromagnetic spin order in helical fermi liquids which breaks continuous spin-space rotation symmetry, with application to the edge states of 3d topological band insulators. With finite fermi surface, the critical point has both z = 3 over-damped and z = 2 propagating quantum critical modes, and the z = 3 mode will lead to non-fermi liquid behavior on the entire fermi surface. In the ordered phase, the Goldstone mode is over-damped unless it propagates along special directions, and quasiparticle is ill defined on most parts of the fermi surface except for special points. Generalizations of our results to other systems with spin-orbit couplings are also discussed.

5 pages, 2 figures

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• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
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• Renormalization group theory of nematic ordering in d-wave superconductors
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Cited by in corpus (25)

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• Weyl semimetals with short-range interactions
• Criterion for stability of Goldstone Modes and Fermi Liquid behavior in a metal with broken symmetry
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• Fractionalization in Superconductor Josephson Junction Arrays Hinged by Quantum Spin Hall edges
• Magnetotransport of Dirac Fermions on the surface of a topological insulator
• Optical conductivity of topological surface states with emergent supersymmetry
• Topological insulators in the quaternary chalcogenide compounds and ternary famatinite compounds
• Amperean Pairing at the Surface of Topological Insulators
• Models of three-dimensional fractional topological insulators
• Anisotropy effects on Rashba and topological insulator spin polarized surface states: a unified phenomenological description
• Ferromagnetic and Nematic Non-Fermi Liquids in Spin-Orbit Coupled Two-Dimensional Fermi Gases
• Symmetry Realization via a Dynamical Inverse Higgs Mechanism
• Stable non-Fermi liquid phase of itinerant spin-orbit coupled ferromagnets
• Landau theory of helical Fermi liquids
• Nonequilibrium quantum criticality in bilayer itinerant ferromagnets
• Single-Dirac-cone Z2 topological insulator phases in distorted Li2AgSb-class and related quantum critical Li-based spin-orbit compounds
• Exciton condensations in thin film topological insulator
• Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
• Nematic order on the surface of a three-dimensional topological insulator
• Fractal non-Fermi liquids from moiré-Hofstadter phonons
• Non-Fermi Liquids from Subsystem Symmetry Breaking in van der Waals Multilayers
• Fermi surface instabilities of symmetry-breaking and topological types on the surface of a three-dimensional topological insulator
• Surface topological quantum criticality: Conformal manifolds and Discrete Strong Coupling Fixed Points