A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to compute the entanglement entropy of (2+1)-dimensional quantum critical points with randomness, from a conceptually novel angle where the quenched disorder can be considered as dimensionally reducible interactions. As a concrete example, we investigate the case of (2+1)-dimensional Dirac fermion subjected to a random magnetic field. Novel entanglement signatures are revealed to signal the critical behavior of the ground state. Our analytical solution is in line with the numerical simulation on the corresponding lattice model.
Qicheng Tang is a Ph.D. candidate in Physics at Westlake University under supervision by Dr. Wei Zhu. He got his B.S. degree in physics at Tomsk Polytechnic University, 2018. His research interests include (but not limited to):
1. Developing numerical tools for simulating strongly correlated systems;
2. Investigating quantum critical phenomena in condensed matters via effective theories;
3. Exploring novel underlying paradigm in statistical physics though non-equilibrium process of quantum systems.
Tencent Meeting link: https://meeting.tencent.com/dm/kT1m4sOs1OYX Meeting ID: 313 300 052