Table 6 A comparison of universality class of critical exponents between short, extended and long-range of \(\mathscr{P}\mathscr{T}\) symmetric non-Hermitian model for different regimes of parameters.

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

 

\(\mathscr{P}\mathscr{T}\) breaking point

\(\mathscr{P}\mathscr{T}\) broken regime

z

y

\(\nu\)

\(\gamma\)

z

y

\(\nu\)

\(\gamma\)

Short-range

1

1

1

1

1

1

1

1

Extended-range

1

1

1

1

2

1

1

1

(normal criticalities)

        

Extended-range

2

1

1

1

2

1

1

1

(multi-criticalities)

        

Long-range

1

1

IL

1

1

1

IL

1

(\(\alpha >2\))

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