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4.5. VARIATIONAL MONTE-CARLO APPLIED TO THE CARBON NANOTUBES105
1.5
2D (d xy +id x2-y2 )
φ 1
,φ 2
1
0.5
2-leg ladder (d-wave)
φ 1
φ 2
0
0 5 10 ∞
Nanotube Diameter
1
2-leg ladder
∆ max /∆ max
( m,n ) (1,1 )
0.5
2D lattice
0
0 5 10
Nanotube Diameter
∞
Figure 4.13: Maximum pairing amplitude (bottom figure) obtained in the projected
variational wavefunction and phases of the pairing φ 1 ,φ 2 for the different
nanotubes (top figure). The symmetry of the pairing is d x 2 −y 2 + id xy like in the
two dimension limit and d-wave like in the limit of the 2-leg ladder. The dashed
lines are guide to the eyes.