Table 4 A comparison of universality class of critical exponents between short, extended and long-range of Hermitian model with broken time-reversal symmetry.

From: Critical scaling of a two-orbital topological model with extended neighboring couplings

Model

\(\hspace{0.2cm}k_0\hspace{0.2cm}\)

\(\hspace{0.2cm}z\hspace{0.2cm}\)

\(\hspace{0.2cm}y\hspace{0.2cm}\)

\(\nu\)

Short-range

0

1

1

1

\(\pi\)

1

1

1

Extended-range

0

1

1

1

\(\pi\)

1

1

1

Multi-criticality

 

(3,1)

1

1

Long-range

    

\(\alpha <1\)

0

D

IL

IL

\(1<\alpha <2\)

 

\(z<1\)

1

IL

\(\alpha >2\)

 

1

1

1

\(\forall\) \(\alpha\)

\(\pi\)

1

1

1

  1. Here IL and D represent ill-defined and divergent quantities.