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Optical spin transport theory of spin-$$frac{1}{2}$$ topological Fermi superfluids

スピン$$frac{1}{2}$$トポロジカル・フェルミ超流動体の光学スピン輸送理論

田島 裕之*; 関野 裕太*; 内野 瞬   

Tajima, Hiroyuki*; Sekino, Yuta*; Uchino, Shun

スピン$$frac{1}{2}$$トポロジカル・フェルミ超流動体におけるバルクの光学スピン輸送の性質を調べた。具体的には、冷却原子気体の実験で実現可能なp波相互作用する1次元フェルミ系を考えた。弱結合から強結合領域までの系のトポロジカルな性質を描写するためBCS-Leggett理論を適用し、スピン輸送が多体効果をどのように反映するかを示した。我々は光学スピン伝導率を調べることで、トポロジカル転移を検出できることを見つけ、Majoranaゼロモードの低エネルギー有効モデルの有用性も議論した。

We theoretically investigate optical bulk spin transport properties in a spin-$$frac{1}{2}$$ topological Fermi superfluid. We specifically consider a one-dimensional system with an inter-spin $$p$$-wave interaction, which can be realized in ultracold-atom experiments. Developing the BCS-Leggett theory to describe the BCS to Bose-Einstein condensate evolution and the Z$$_{2}$$ topological phase transition in this system, we show how the spin transport reflects these many-body aspects. We find that the optical spin conductivity, which is a small AC response of a spin current, shows the spin-gapped spectrum in the wide parameter region and the gap closes at the Z$$_{2}$$ topological phase transition point. Moreover, the validity of the low-energy effective model of the Majorana zero mode is discussed along the BCS-BEC evolution in connection with the scale invariance at $$p$$-wave unitarity.

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パーセンタイル:61.85

分野:Materials Science, Multidisciplinary

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