Luttinger Liquid
Power-law spectral function, spin-charge separation, Luttinger parameter K
Parameters
Luttinger K (interaction):
0.50
Spin velocity v_σ/v_F:
1.00
Charge velocity v_ρ/v_F:
1.50
Temperature T/v_F:
0.05
Luttinger liquid:
A(ω) ∝ |ω|^α, α=(K+K⁻¹-2)/4
K < 1: repulsive (Mott)
K = 1: free fermions (FL)
K > 1: attractive
Spin-charge separation:
v_σ ≠ v_ρ (holon, spinon)
No quasi-particle pole!