Table 1 Summary of pairing states in spin-polarized flat bands
From: Nodal band-off-diagonal superconductivity in twisted graphene superlattices
IR of D6 | \({{{\Delta }}}_{{{{{{{{\boldsymbol{k}}}}}}}},\eta }=-{{{\Delta }}}_{-{{{{{{{\boldsymbol{k}}}}}}}},-\eta }^{T}\) | nodes | IR of C6 |
|---|---|---|---|
A1 | \({\sigma }_{y}{\chi }_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}},{\chi }_{{C}_{2x}{{{{{{{\boldsymbol{k}}}}}}}}}=-{\chi }_{{{{{{{{\boldsymbol{k}}}}}}}}}\) | ln/pt or ln | A |
A2 | \({\sigma }_{y}{\chi }_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}},{\chi }_{{C}_{2x}{{{{{{{\boldsymbol{k}}}}}}}}}={\chi }_{{{{{{{{\boldsymbol{k}}}}}}}}}\) | ln/n | A |
E2(1, 0) | σyYη⋅k | ln/ln or pt | E2(1, 0) |
E2(0, 1) | σyXη⋅k | ln/ln or pt | E2(1, 0) |
E2(1, i) | \({\sigma }_{y}({X}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}}+i\,{Y}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}})\) | ln/ln or n | E2(1, i) |
B1 | \(\eta {\hat{\chi }}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}},{\sigma }_{z}{\hat{\chi }}_{{C}_{2x}{{{{{{{\boldsymbol{k}}}}}}}}}{\sigma }_{z}={\hat{\chi }}_{{{{{{{{\boldsymbol{k}}}}}}}}}\) | n | B |
B2 | \(\eta {\hat{\chi }}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}},{\sigma }_{z}{\hat{\chi }}_{{C}_{2x}{{{{{{{\boldsymbol{k}}}}}}}}}{\sigma }_{z}=-{\hat{\chi }}_{{{{{{{{\boldsymbol{k}}}}}}}}}\) | pt | B |
E1(1, 0) | \(\eta {\hat{X}}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}}\) | pt | E1(1, 0) |
E1(0, 1) | \(\eta {\hat{Y}}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}}\) | pt | E1(1, 0) |
E1(1, i) | \(\eta ({\hat{X}}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}}+i{\hat{Y}}_{\eta \cdot {{{{{{{\boldsymbol{k}}}}}}}}})\) | n | E1(1, i) |
