| Title: |
Deconfined quantum criticality of nodal d -wave superconductivity, Néel order, and charge order on the square lattice at half-filling |
| Authors: |
Christos, Maine; Shackleton, Leyna; Sachdev, Subir; Luo, Zhu-Xi |
| Contributors: |
National Science Foundation; Simons Foundation |
| Source: |
Physical Review Research ; volume 6, issue 3 ; ISSN 2643-1564 |
| Publisher Information: |
American Physical Society (APS) |
| Publication Year: |
2024 |
| Description: |
We consider a SU(2) lattice gauge theory on the square lattice, with a single fundamental complex fermion and a single fundamental complex boson on each lattice site. Projective symmetries of the gauge-charged fermions are chosen so that they match with those of the spinons of the -flux spin liquid. Global symmetries of all gauge-invariant observables are chosen to match with those of the particle-hole symmetric electronic Hubbard model at half-filling. Consequently, both the fundamental fermion and fundamental boson move in an average background -flux, their gauge-invariant composite is the physical electron, and eliminating gauge fields in a strong gauge-coupling expansion yields an effective extended Hubbard model for the electrons. The SU(2) gauge theory displays several confining/Higgs phases: a nodal -wave superconductor, and states with Néel, valence-bond solid, charge, or staggered current orders. There are also a number of quantum phase transitions between these phases that are very likely described by -dimensional deconfined conformal gauge theories, and we present large flavor expansions for such theories. These include the phenomenologically attractive case of a transition between a conventional insulator with a charge gap and Néel order, and a conventional -wave superconductor with gapless Bogoliubov quasiparticles at four nodal points in the Brillouin zone. We also apply our approach to the honeycomb lattice, where we find a bicritical point at the junction of Néel, valence bond solid (Kekulé), and Dirac semimetal phases. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1103/physrevresearch.6.033018 |
| DOI: |
10.1103/PhysRevResearch.6.033018 |
| DOI: |
10.1103/PhysRevResearch.6.033018/fulltext |
| Availability: |
https://doi.org/10.1103/physrevresearch.6.033018; https://link.aps.org/article/10.1103/PhysRevResearch.6.033018; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevResearch.6.033018/fulltext |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| Accession Number: |
edsbas.C9D746C4 |
| Database: |
BASE |