Disordered Dirac fermions: the marriage of three different approaches |
| |
| Institution: | 1. Department of Physics, Osmania University, Hyderabad, India;2. School of Physics, University of Hyderabad, Hyderabad, 500046, India;3. Faculty of Science and Technology, ICFAI foundation for Higher Education, (Declared as deemed-to-be University u/s 3 of the UGC Act 1956), Dontanapally, Hyderabad, 501203, India;4. Department of Physics, Shiv Nadar University, Village Chithera, Tehsil Dadri, Gautam Budh Nagar, UP, 203207, India;1. Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russia;2. Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia;3. Dubna State University, Universitetskaya str. 19, Dubna, 141980, Russia;4. Laboratoire Univers et Théories, Observatoire de Paris, Université PSL, CNRS, Université Paris Diderot, 5 place Jules Janssen, 92190 Meudon, France;1. School of Physics and Engineering, Henan University of Science and Technology, Luoyang 471003, China;2. National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China;1. Doppler Institute for Mathematical Physics and Applied Mathematics, Czech Technical University, B?ehová 7, 11519 Prague, Czechia;2. Department of Theoretical Physics, Nuclear Physics Institute, Czech Academy of Sciences, 25068 ?e? near Prague, Czechia;3. Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czechia |
| |
| Abstract: | We compare the critical multipoint correlation functions for two-dimensional (massless) Dirac fermions in the presence of a random su(N) (non-Abelian) gauge potential, obtained by three different methods. We critically reexamine previous results obtained using the replica approach and in the limit of infinite disorder strength and compare them to new results (presented here) obtained using the supersymmetric approach to the N=2 case. We demonstrate that this ménage à trois of different approaches leads to identical results. Remarkable relations between apparently different conformal field theories (CFTs) are thereby obtained. We further establish a connection between the random Dirac fermion problem and the c=?2 theory of dense polymers. The presence of the c=?2 theory may be seen in all three different treatments of the disorder. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
