在$e/3$-任意子流体中的单组分扭曲$\mathbb{Z}_3$正交金属

中文摘要 AI 辅助

我们提出了一种在掺杂$1/3$分数陈绝缘体时出现的非常规金属相，它可作为具有任意手性中心电荷的任意子超导的母体态。它是一种扭曲的$\mathbb{Z}_3$正交金属，电子准粒子权重消失，但有一个明确的费米面，由涌现的电荷为$e/3$的费米子与狄克格拉夫 - 维滕扭曲$\mathbb{Z}_3$规范场耦合而成。它明显是谷对称且谷带隙的。将这种分数化的费米面配对会消除拓扑序，产生一系列超导体，其手性中心电荷由配对的$e/3$费米子的BdG能带拓扑直接设定，而物理序参量的角动量被限制为三的倍数。这种情况为超越基于$2e/3$任意子的任意子超导构造的超导态提供了一条途径。金属相本身具有独特的“分数费米学”特征：$e/3$散粒噪声、反常量子振荡以及在介导超导体之间的约瑟夫森耦合时的$6\pi$交流约瑟夫森效应。我们构造了实现该相的显式波函数假设，并认为与竞争态相比，任意子之间的谷间排斥使该相稳定。我们表明这种构造可扩展到更高的劳克林态，但不适用于 Jain 态。

英文摘要

We propose an unconventional metallic phase emerging upon doping the $1/3$ Laughlin Fractional Chern insulator, which can serve as a parent state to anyon superconductivity with arbitrary chiral central charge. It is a twisted $\mathbb{Z}_3$ orthogonal metal: a state with vanishing electron quasiparticle weight but a single well-defined Fermi surface of emergent charge-$e/3$ fermions coupled to a Dijkgraaf-Witten twisted $\mathbb{Z}_3$ gauge field. It is manifestly symmetric under the projective action of translations on the three low-energy valleys and is fully gapped in the valley sector. Pairing this fractionalized Fermi surface then removes the topological order and produces a family of superconductors whose chiral central charge is directly set by the BdG band topology of the paired $e/3$ fermions, while the angular momentum of the physical order parameter is constrained to be a multiple of three. This scenario provides a route to superconducting states beyond anyon-superconductivity constructions based on $2e/3$ anyons. The metallic phase itself carries distinctive ``fractional Fermiology'' signatures: $e/3$ shot noise, anomalous quantum oscillations, and a $6π$ ac Josephson effect when it mediates the Josephson coupling between superconductors. We construct explicit wavefunction ansatz realizing the phase, and discuss energetics considerations that might favor this state over competing metallic states. We show that the construction extends to higher Laughlin states but not to Jain states.

发表机构

• Harvard University（哈佛大学）

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