Logarithmic entropy of black hole in gravity with conformal anomaly from   quantum tunneling approach
  Using quantum tunneling approach, we are able to derive the entropy with logarithmic term of the static spherically symmetric black hole in semi-classical Einstein equations with conformal anomaly. The results indicate that the logarithmic correction to Bekenstein-Hawking area entropy can be well explained by the self-gravitation. 
Ran Li
gr-qc