arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1702.08528cond-mat.str-el
收藏

强磁场中金属导线的强相互作用相

Strongly Interacting Phases of Metallic Wires in Strong Magnetic Field

Daniel Bulmash, Chao-Ming Jian, Xiao-Liang Qi

摘要:

我们从理论上研究了强磁场沿金属丝长度方向作用的相互作用金属丝,并证明了它是一个新的高度可调谐的一维系统。通过考虑空间几何的适当变化,我们将具有朗道能级简并度$N$的第零朗道能级中的问题映射到具有$N$分量赝自旋自由度和$SU(2)$对称相互作用的一维费米子。这种映射允许我们使用重整化群和玻色化技术建立作为小$N$的相互作用的函数的相图(并对大$N$进行图解)。我们发现赝自旋-电荷分离与一个无隙的$U(1)$电荷扇区和几个可能的强耦合阶段的赝自旋扇区。对于奇$N$,我们发现一个涨落的赝自旋单重态电荷密度波相和一个涨落的赝自旋单重态超导相,它们在拓扑上是不同的。对于甚至$N>2$,类似的阶段存在,虽然它们不是拓扑不同的,和一个额外的,新的pseudospin-gapless相出现。我们讨论观察我们的建议的实验条件。

英文摘要:

We investigate theoretically an interacting metallic wire with a strong magnetic field directed along its length and show that it is a new and highly tunable one-dimensional system. By considering a suitable change in spatial geometry, we map the problem in the zeroth Landau level with Landau level degeneracy $N$ to one-dimensional fermions with an $N$-component pseudospin degree of freedom and $SU(2)$-symmetric interactions. This mapping allows us to establish the phase diagram as a function of the interactions for small $N$ (and make conjectures for large $N$) using renormalization group and bosonization techniques. We find pseudospin-charge separation with a gapless $U(1)$ charge sector and several possible strong-coupling phases in the pseudospin sector. For odd $N$, we find a fluctuating pseudospin-singlet charge density wave phase and a fluctuating pseudospin-singlet superconducting phase which are topologically distinct. For even $N>2$, similar phases exist, although they are not topologically distinct, and an additional, novel pseudospin-gapless phase appears. We discuss experimental conditions for observing our proposals.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑