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 energy gap after considering the effect of the LL mixing on the two-body interaction. When LL mixing is small, the gap still has a bump as ω_x increases. In the case of strong LL mixing, the bump disappears and the gap monotonically decreases as that in the LLL.