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KSL - Coggle Diagram

- - - - zero flux
        
        ideal heat conductor \(D_{x} \neq 0\)
      - thermal flux
        
        dissipative conductor \(D_{x} = 0, \, \kappa_{dc} \sim T^{0.92}\)
    - - thermal metal phase
  - - - zero flux
        
        ideal heat conductor \(D_{x} \neq 0\), but it is smaller than gapless phase
      - thermal flux
        
        dissipative conductor \(D_{x} = 0, \,\kappa_{dc} \sim e^{-2.3/T}\)
- - - - bound flux
        
        dissipative conductor \(lim_{L\rightarrow \infty}D_{x} = 0, \, \kappa_{dc} \neq 0\)
      - thermal flux
        
        dissipative conductor \(D_{x} = 0, \kappa_{dc} \neq 0\)
  - - - ground-state flux sector
        
        Future study (hint from SDRG?)
      - zero flux
      - thermal flux

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KSL

random bond

pure

disordered

gapless

gapped

vacancy

random bond

$\kappa = 0$

\(\kappa \neq 0 \)

thermal metal phase

zero flux

thermal flux

ideal heat conductor \(D_{x} \neq 0\)

dissipative conductor \(D_{x} = 0, \, \kappa_{dc} \sim T^{0.92}\)

\(\kappa = 0\)

zero flux

thermal flux

ideal heat conductor \(D_{x} \neq 0\), but it is smaller than gapless phase

dissipative conductor \(D_{x} = 0, \,\kappa_{dc} \sim e^{-2.3/T}\)

\(\kappa = 0\)

bound flux

thermal flux

dissipative conductor \(lim_{L\rightarrow \infty}D_{x} = 0, \, \kappa_{dc} \neq 0\)

dissipative conductor \(D_{x} = 0, \kappa_{dc} \neq 0\)

\(\kappa = 0 \)

ground-state flux sector

zero flux

Future study (hint from SDRG?)

thermal flux