Integrable model of topological SO(5) superfluidity

Journal Article · 15 August 2021 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.104.l060503 · OSTI ID:1821119

Holdhusen, Will J.  ^[1]; Lerma-Hernández, Sergio  ^[2]; Dukelsky, Jorge  ^[3]; Ortiz, Gerardo  ^[4]

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1. Indiana Univ., Bloomington, IN (United States); Indiana University Bloomington
2. Univ. Veracruzana, Veracruz (Mexico)
3. CSIC, Madrid (Spain)
4. Indiana Univ., Bloomington, IN (United States)

Assisted by general symmetry arguments and a many-body invariant, we introduce a phase of matter that constitutes a topological SO(5) superfluid. Key to this finding is the realization of an exactly solvable model that displays some similarities with a minimal model of superfluid ³He. We study its quantum phase diagram and correlations, and find exotic superfluid as well as metallic phases in the repulsive sector. At the critical point separating trivial and nontrivial superfluid phases, our Hamiltonian reduces to the globally SO(5)-symmetric Gaudin model with a degenerate ground manifold that includes quartet states. Most importantly, the exact solution permits uncovering of an interesting non-pair-breaking mechanism for superfluids subject to external magnetic fields. Furthermore, nonintegrable modifications of our model lead to a strong-coupling limit of our metallic phase with a ground-state manifold that shows an extensive entropy.

• Research Organization: Indiana Univ., Bloomington, IN (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0020343
• OSTI ID: 1821119
• Journal Information: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 6 Vol. 104; ISSN 2469-9950
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English