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) Energy spectrum for 9 electrons at ν = 1/3 and ν = 7/3 without and with a small tilted field. The three-fold degeneracy of the ground states reveals the Laughlin type of the ground state. With a small tilted field at ω_x = 1.8, the gap of 1/3 and 7/3 behaves differently with comparing to the untilted case. The confinement strength is set to be ω₀ = 2.0.