Lattice effects on nematic quantum criticality in metals

Abstract

Theoretically, it is commonly held that in metals near a nematic quantum critical point the electronic excitations become incoherent on the entire `hot' Fermi surface, triggering non Fermi liquid behavior. However, such conclusions are based on electron-only theories, ignoring a symmetry-allowed coupling between the electronic nematic variable and a suitable crystalline lattice strain. Here we show that including this coupling leads to entirely different conclusions because the critical fluctuations are mostly cutoff by the non-critical lattice shear modes. At sufficiently low temperatures the thermodynamics remain Fermi liquid type, while, depending on the Fermi surface geometry, either the entire Fermi surface stays cold, or at most there are hot spots. In particular, our predictions are relevant for the iron-based superconductors.

13 pages, 5 figures, SI included

References in corpus (10)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Ising nematic quantum critical point in a metal: a Monte Carlo study
• Nematicity in stripe ordered cuprates probed via resonant x-ray scattering
• Metamagnetic quantum criticality in Sr3Ru2O7 studied by thermal expansion
• A controlled expansion for certain non-Fermi liquid metals
• Elastic coupling and spin-driven nematicity in iron-based superconductors
• Functional renormalization group approach to the Ising-nematic quantum critical point of two-dimensional metals

Cited by in corpus (56)

• Ironing out the details of unconventional superconductivity
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• On the Remarkable Superconductivity of FeSe and its Close Cousins
• Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
• Quenched nematic criticality separating two superconducting domes in an iron-based superconductor under pressure
• Divergent nematic susceptibility near the pseudogap critical point in a cuprate superconductor
• Nematic Fluctuations in the Cuprate Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Electronic nematic states tuned by isoelectronic substitution in bulk FeSe1-xSx
• Scattering mechanisms and electrical transport near an Ising nematic quantum critical point
• Strain-tuning of nematicity and superconductivity in single crystals of FeSe
• Pure nematic quantum critical point accompanied by a superconducting dome
• Non-Fermi liquid transport in the vicinity of nematic quantum critical point of FeSe${}_{1-x}$S${}_x$ superconductor
• Pairing instability near a lattice-influenced nematic quantum critical point
• Anomalous high-magnetic field electronic state of the nematic superconductors FeSe${}_{1-x}$S${}_x$
• Hydrostatic and uniaxial pressure tuning of iron-based superconductors: Insights into superconductivity, magnetism, nematicity and collapsed tetragonal transitions
• The transport-structural correspondence across the nematic phase transition probed by elasto-x-ray diffraction
• Resistivity near a nematic quantum critical point: Impact of acoustic phonons
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Field-tuned ferroquadrupolar quantum phase transition in the insulator TmVO${}_4$
• Enhanced superconducting pairing strength near a nonmagnetic nematic quantum critical point
• Nematic correlation length in iron-based superconductors probed by inelastic x-ray scattering
• Signatures of a Quantum Griffiths Phase close to an Electronic Nematic Quantum Phase Transition
• Lattice-Shifted Nematic Quantum Critical Point in FeSe${}_{1-x}$S${}_x$
• Quantum Annealed Criticality
• Failed excitonic quantum phase transition in Ta${}_2$Ni(Se${}_{1-x}$S${}_x$)${}_5$
• Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and non-Fermi liquid to Fermi liquid crossover
• DC resistivity near a nematic quantum critical point: Effects of weak disorder and acoustic phonons
• Quantum Annealed Criticality: A Scaling Description
• Low frequency Raman response near Ising-nematic quantum critical point: a memory matrix approach
• Dynamical susceptibility of a near-critical non-conserved order parameter and B2g Raman response in Fe-based superconductors
• Tests of nematic-mediated superconductivity applied to Ba${}_{1-x}$Sr${}_x$Ni${}_2$As${}_2$
• Phonon-induced rotation of the electronic nematic director in superconducting Bi${}_2$Se${}_3$
• Quadrupolar charge dynamics in the nonmagnetic FeSe${}_{1-x}$S${}_x$ superconductors
• Strain-tuned quantum criticality in electronic Potts-nematic systems
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Selective mass enhancement close to the quantum critical point in BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Comparison of temperature and doping dependence of nematic susceptibility near a putative nematic quantum critical point
• Laser-induced coherent control of an electronic nematic quantum phase transition
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
• Charge Transport in Ba${}_{1-x}$Rb${}_x$Fe${}_2$As${}_2$ Single Crystals
• Theories for charge-driven nematicity in kagome metals
• Spin-echo and quantum versus classical critical fluctuations in TmVO${}_4$
• Defect-induced electronic smectic state at the surface of nematic materials
• Magnetic and structural quantum phase transitions in CeCu6-xAux are independent
• Elastic Quantum Criticality in Nematics and Altermagnets via the Elasto-Caloric Effect
• The role of electromagnetic gauge-field fluctuations in the selection between chiral and nematic superconductivity
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Microscopic origin of the nemato-elastic coupling and dynamics of hybridized collective nematic-phonon excitations
• Superconductivity near a nematoelastic quantum critical point
• Quantum Criticality in the infinite-range Transverse Field Ising Model
• Compatible Instability: Gauge Constraints of Elasticity Inherited by Electronic Nematic Criticality
• Phonon Induced Energy Relaxation in Quantum Critical Metals
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?
• Superconductivity near an Ising nematic quantum critical point in two dimensions
• Nematostriction in frustrated two-dimensional Heisenberg models
• Decoupled nematic and magnetic criticality in FeSe${}_{1-x}$S${}_x$