Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation<xref rid="cpb_27_8_087306fn1" ref-type="fn">*</xref><fn id="cpb_27_8_087306fn1"><label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11674041 and 91630205) and Chongqing Research Program for Basic Research and Frontier Technology (Grant No. cstc2017jcyjAX0084).</p></fn>

Behavior of fractional quantum Hall states in LLL and 1LL with in-plane magnetic field and Landau level mixing: A numerical investigation**

Project supported by the National Natural Science Foundation of China (Grant Nos. 11674041 and 91630205) and Chongqing Research Program for Basic Research and Frontier Technology (Grant No. cstc2017jcyjAX0084).

Yang Lin-Peng, Li Qi, Hu Zi-Xiang^†

(color online) The wave function overlap between the ground state and the Laughlin state as a function of ω_x at ω₀ = 2.0. Similar to the energy gap, we find the overlap for the 1/3 state monotonically decreases as the in-plane B field increases. However, the overlap for the 7/3 state increases for small ω_x and decays to zero for large tilting.