Valley-polarized pumping current in zigzag graphene nanoribbons with different spatial symmetries<xref rid="cpb_27_12_127203fn1" ref-type="fn">*</xref> <fn id="cpb_27_12_127203fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11704190, 11874221, and 11504240) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20171030).</p> </fn>

Valley-polarized pumping current in zigzag graphene nanoribbons with different spatial symmetries* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11704190, 11874221, and 11504240) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20171030).

Yu Zhizhou^{1, †}, Xu Fuming²

(color online) Valley-polarized pumping current and transmission coefficient of symmetric ZGNRs as a function of the Fermi level with a static potential V₀ = 0.2 V and a pumping potential V_p = 50 mV applied on (a) region 1 and region 2, (b) region 1 and region 3, and (c) region 1 and region 4. The initial phase is set to be ϕ₁ = 0 and ϕ_{k = 2,3,4} = π/2.