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Quantum-critical electrodynamics of Luttinger fermions
- Publication Year :
- 2022
-
Abstract
- We study the quantum electrodynamics of Luttinger fermions with quadratic band-crossing dispersion in three dimensions. The model can be viewed as the low-energy effective theory of a putative $U(1)$ quantum spin liquid with fermionic Luttinger spinons, or as an extension of the Luttinger-Abrikosov-Beneslavskii (LAB) model that accounts for transverse gauge fluctuations with finite photon velocity. Aided by a renormalization group analysis below four dimensions, we elucidate the presence and stability of quantum critical phenomena in this model. We find that the non-Fermi liquid LAB phase is stable against gauge fluctuations, and can thus also be viewed as a $U(1)$ spin liquid with gapless Luttinger spinons. We discover a multicritical point with Lifshitz scaling that corresponds to a time-reversal symmetry-breaking quantum phase transition from the LAB state to a chiral spin liquid with spinon Landau levels and birefringent emergent photons. This multicritical point is characterized by a finite fermion-photon coupling in the infrared and can be viewed as a fermionic analog of the Rokhsar-Kivelson point in three-dimensional quantum dimer models.<br />17 pages and 8 figures, published version
- Subjects :
- Condensed Matter::Quantum Gases
High Energy Physics - Theory
Condensed Matter - Strongly Correlated Electrons
Strongly Correlated Electrons (cond-mat.str-el)
High Energy Physics - Theory (hep-th)
High Energy Physics::Lattice
FOS: Physical sciences
Condensed Matter::Strongly Correlated Electrons
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....fa03c3288b304af94c8bad8c23c86f36