Fidelity susceptibility and topological phase transition of a two dimensional spin-orbit coupled Fermi superfluid

Abstract

We investigate the fidelity susceptibility (FS) of a two-dimensional spin-orbit coupled (SOC) Fermi superfluid and the topological phase transition driven by a Zeeman field in the perspective of its ground-state wave-function. Without Zeeman coupling, FS shows new features characterizing the BCS-BEC crossover induced by SOC. In the presence of a Zeeman field, the topological phase transition is explored using both FS and the topological invariant. In particular, we obtain the analytical result of the topological invariant which explicitly demonstrates that the topological phase transition corresponds to a sudden change of the ground state wave-function. Consequently, FS diverges at the phase transition point with its critical behavior being: $\chi \propto ln|h-h_c|$ . Based on this observation, we conclude that the topological phase transition can be detected by measuring the momentum distribution in cold atoms experiment.

typos corrected, supplementary materials added

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Cited by in corpus (8)

• Generalized fidelity susceptibility at phase transitions
• Topological and non-topological features of generalized Su-Schrieffer-Heeger models
• Spectral function and fidelity susceptibility in quantum critical phenomena
• Fidelity susceptibility of the anisotropic $XY$ model: The exact solution
• Pairing sizes in attractively interacting Fermi gases with Spin-orbit Couplings
• Fidelity and entanglement entropy for infinite-order phase transitions
• Critical temperature in the BCS-BEC crossover with spin-orbit coupling
• Topological superfluids in two-dimensional Fermi gas with Rashba spin-orbit coupling