Phase transition and intrinsic metric of dipolar fermions in the quantum Hall regime

作     者：Zi-Xiang Hu Qi Li Lin-Peng Yang Wu-Qing Yang Na Jiang Rui-Zhi Qiu Bo Yang 

作者机构：Department of Physics Chongqing University Chongqing 401331 People's Republic of China Zhejiang Institute of Modern Physics Zhejiang University Hangzhou 310027 People's Republic of China Science and Technology on Surface Physics and Chemistry Laboratory Mianyang 621907 People's Republic of China Complex Systems Group Institute of High Performance Computing A*STAR 138632 Singapore 

出 版 物：《Physical Review B》 (Phys. Rev. B)

年 卷 期：2018年第97卷第3期

页      面：035140-035140页

核心收录：

基　　金：National Natural Science Foundation of China, NSFC, (11674041, 91630205) National Natural Science Foundation of China, NSFC Science and Engineering Research Council, SERC, (1224504056) Science and Engineering Research Council, SERC Fundamental Research Funds for the Central Universities, (CQDXWL-2014-Z006) Fundamental Research Funds for the Central Universities Chongqing Research Program of Basic Research and Frontier Technology, (11404299, cstc2017jcyjAX0084) Chongqing Research Program of Basic Research and Frontier Technology 

主　　题：Bose-Einstein condensates Dipolar interaction Fermions Fractional quantum Hall effect Landau levels Optical lattices & traps 

摘      要：For the fast rotating quasi-two-dimensional dipolar fermions in the quantum Hall regime, the rotational symmetry in the two-body interaction breaks when the dipole moment has an in-plane component that can be tuned by an external field. Assuming that all the dipoles are polarized in the same direction, we perform the numerical diagonalization for finite size systems on a torus. We find that while ν=1/3 Laughlin state is stable in the lowest Landau level (LLL), it is not stable in the first Landau level (1LL); instead, the most stable Laughlin state in the 1LL is the ν=2+1/5 Laughlin state. These FQH states are robust against moderate introduction of anisotropy, but large anisotropy induces a transition into a compressible phase in which all the particles are attracted and form a bound state. We show that such phase transitions can be detected by the intrinsic geometrical properties of the ground states alone. The anisotropy and the phase transition are systematically studied with the generalized pseudopotentials and characterized by the intrinsic metric, the wave function overlap, and the nematic order parameter. We also propose simple model Hamiltonians for this physical system in the LLL and 1LL, respectively.