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Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
- Source :
- Phys. Rev. Lett. 125, 257202 (2020)
- Publication Year :
- 2020
-
Abstract
- We study transitions between topological phases featuring emergent fractionalized excitations in two-dimensional models for Mott insulators with spin and orbital degrees of freedom. The models realize fermionic quantum critical points in fractionalized Gross-Neveu$^\ast$ universality classes in (2+1) dimensions. They are characterized by the same set of critical exponents as their ordinary Gross-Neveu counterparts, but feature a different energy spectrum, reflecting the nontrivial topology of the adjacent phases. We exemplify this in a square-lattice model, for which an exact mapping to a $t$-$V$ model of spinless fermions allows us to make use of large-scale numerical results, as well as in a honeycomb-lattice model, for which we employ $\epsilon$-expansion and large-$N$ methods to estimate the critical behavior. Our results are potentially relevant for Mott insulators with $d^1$ electronic configurations and strong spin-orbit coupling, or for twisted bilayer structures of Kitaev materials.<br />Comment: 6+6 pages, 2+3 figures; v3 (minor changes, discussion on strong-coupling limit)
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 125, 257202 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2009.05051
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.125.257202