Critical particle-hole composites at twice the Fermi wave vector in U(1) spin liquid with a Fermi surface

Abstract

We find "{\it chiral symmetry breaking}" at finite energies in U(1) spin liquid, corresponding to critical particle-hole composite states with twice of the Fermi momentum (2$k_F$). We investigate this Fermi surface problem based on the Nambu-Eliashberg theory, where the off diagonal pairing self-energy is introduced to catch the Aslamasov-Larkin vertex correction. This approach is quite parallel with the case of superconductivity, where such Aslamasov-Larkin quantum corrections in the particle-particle channel are well known to be responsible for superconducting instability, formulated as the Nambu-Eliashberg theory in an elegant way. We obtain the pairing self-energy, which vanishes at zero energy but displays the same power law dependence for frequency as the normal Eliashberg self-energy. As a result, even the pairing self-energy correction does not modify the Eliashberg dynamics without the Nambu spinor representation, where thermodynamics is described by the typical $z=3$ scaling free energy. We discuss physical implication of the anomalous self-energy identical to the conventional Eliashberg normal self-energy, focusing on thermodynamics.

References in corpus (17)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• "Deconfined" quantum critical points
• Quantum Criticality in Heavy Fermion Metals
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• On the low energy properies of fermions with singular interactions
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Spin correlations in the algebraic spin liquid - implications for high Tc superconductors
• Theory of spin excitations in undoped and underdoped cuprates
• Kondo Breakdown and Hybridization Fluctuations in the Kondo-Heisenberg Lattice
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Violation of Wiedemann-Franz law at the Kondo breakdown quantum critical point
• The thermopower as a signature of quantum criticality in heavy fermions
• Grüneisen ratio at the Kondo breakdown quantum critical point
• Vertex correction and Ward identity in the U(1) gauge theory with Fermi surface

Cited by in corpus (4)

• Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
• Interplay between interaction and chiral anomaly in the holographic approach
• A phenomenological description on an incoherent Fermi liquid near optimal doping in high T_{c} cuprates
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio