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Nonthermodynamic nature of the orbital angular momentum in neutral fermionic superfluids

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Tada,  Yasuhiro
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1805.11226.pdf
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Citation

Tada, Y. (2018). Nonthermodynamic nature of the orbital angular momentum in neutral fermionic superfluids. Physical Review B, 97(21): 214523. doi:10.1103/PhysRevB.97.214523.


Cite as: https://hdl.handle.net/21.11116/0000-0001-ECD3-7
Abstract
We discuss the orbital angular momentum (OAM) and the edge-mass current in neutral fermionic superfluids with broken time-reversal symmetry. Recent mean field studies imply that total OAM of a uniform superfluid depends on boundary conditions and is not a thermodynamic quantity. We point out that this does not conflict with thermodynamics because there is no intensive external field conjugate to OAM with which a uniform superfluid is stable in the thermodynamic limit, in sharp contrast to the orbital magnetization in a nonsuperfluid system. We establish a simple physical picture for the sensitivity of OAM to boundaries by introducing the notion of "unpaired fermions" and "fermionic Landau criterion" within a mean field description. In order to go beyond the mean field approximation, we perform a density matrix renormalization group calculation and conclude that the mean field understanding is essentially correct.