Critical particle-hole composites at twice the Fermi wave vector in U(1) spin liquid with a Fermi surface
arXiv:1008.3078 · doi:10.1103/PhysRevB.83.035123
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). 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 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 (9)
- 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
- Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
- Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
- Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
- Grüneisen ratio at the Kondo breakdown quantum critical point