@article{CTT100782955, author = {Junichi Tsuda and Yuuki Yamanaka and Hidetoshi Nishimori}, title = {Energy gap at first-order quantum phase transitions: An anomalous case}, journal = {Journal of the Physical Society of Japan}, year = 2013, } @article{CTT100782957, author = {Ryoji Miyazaki and Hidetoshi Nishimori}, title = {Real-space renormalization group approach to the random transverse-field Ising model in finite dimensions}, journal = {Physical Review E}, year = 2013, }