Origin of the anomalous Hall effect in two-band chiral superconductors

Denys, Mathew D. E.; Brydon, P. M. R.

doi:10.1103/physrevb.103.094503

Cited by 14 publications

(7 citation statements)

References 44 publications

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“…Although the extra DOF can be other than the above three cases, Eq. ( 15) holds for all the cases unless 𝑈 𝑃 𝑈 𝑇 ≠ 𝑈 𝑇 𝑈 * 𝑃 , [32]. Since the set of 𝜎 𝜇 ⊗ 𝜏 𝜈 matrices is completely anticommuting in Eq.…”

Section: Methodsmentioning

confidence: 99%

“…For instance, multiband superconductors have attracted much attention as a platform realizing odd-frequency pairing [29]. In T -symmetry breaking superconductors, an intrinsic anomalous Hall effect emerges owing to the multiband nature of Cooper pairs [5,[30][31][32][33]. In particular, even-parity T -symmetry breaking superconductors host topologically protected Bogoliubov Fermi surfaces in the presence of interband pairing [34,35].…”

Section: Introductionmentioning

confidence: 99%

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Anapole superconductivity from $\mathcal{PT}$-symmetric mixed-parity interband pairing

Kanasugi,

Yanase

2021

Preprint

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Recently, superconductivity with spontaneous time-reversal or parity symmetry breaking is attracting much attention owing to its exotic properties, such as nontrivial topology and nonreciprocal transport. Particularly fascinating phenomena are expected when the time-reversal and parity symmetry are simultaneously broken. This work shows that time-reversal symmetry-breaking mixed-parity superconducting states generally exhibit an unusual asymmetric Bogoliubov spectrum due to nonunitary interband pairing. For generic two-band models, we derive the necessary conditions for the asymmetric Bogoliubov spectrum. We also demonstrate that the asymmetric Bogoliubov quasiparticles lead to the effective anapole moment of the superconducting state, which stabilizes a nonuniform Fulde-Ferrell-Larkin-Ovchinnikov state at zero magnetic fields. The concept of anapole order employed in nuclear physics, magnetic materials science, strongly correlated electron systems, and optoelectronics is extended to superconductors by this work. Our conclusions are relevant for any multiband superconductors with competing even-and odd-parity pairing channels. Especially, we discuss the superconductivity in UTe 2 .

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Anapole superconductivity from $\mathcal{PT}$-symmetric mixed-parity interband pairing

Kanasugi,

Yanase

2021

Preprint

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“…This peculiar effect implies finite a.c. anomalous Hall conductivity, and it reveals crucial information about the symmetry of the superconducting order parameter. Attempts to explain this phenomenon invoked either extrinsic or intrinsic mechanisms 58,[66][67][68][69][70][71][72][73] . In the following, we focus on the implication of Kerr effect under the assumption that it is a genuine response of the superconducting state in the clean limit, i.e.…”

Section: Implications Of Intrinsic Kerr Effectmentioning

confidence: 99%

A review of some new perspectives on the theory of superconducting Sr$_2$RuO$_4$

Huang

2021

Preprint

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The nature of the Cooper pairing in the paradigmatic unconventional superconductor Sr2RuO4 is an outstanding puzzle in condensed matter physics. Despite the tremendous efforts made in the past twenty-seven years, neither the pairing symmetry nor the underlying pairing mechanism in this material has been understood with clear consensus. This is largely due to the lack of a superconducting order that is capable of interpreting in a coherent manner the numerous essential experimental observations. At this stage, it may be desirable to reexamine the existing theoretical descriptions of superconducting Sr2RuO4. This review focuses on several recent developments that may provide some clues for future study. We highlight three separate aspects: 1) any pairing in the Eu symmetry channel, with which the widely discussed chiral p-wave is associated, shall acquire a 3D structure due to spin-orbit entanglement; 2) if the reported Kerr effect is a superconductivity-induced intrinsic bulk response, the superconductivity must either exhibit a chiral nature, or be complex mixtures of certain set of helical p-wave pairings; 3) when expressed in a multiorbital basis, the Cooper pairing could acquire numerous exotic forms that are inaccessible in single-orbital descriptions. The implications of each of these new perspectives are briefly discussed in connection with selected experimental phenomena.

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“…For instance, multiband superconductors have attracted much attention as a platform realizing odd-frequency pairing 34 . In T -symmetry breaking superconductors, an intrinsic anomalous Hall effect emerges owing to the multiband nature of Cooper pairs 5,[35][36][37][38] . In particular, evenparity T -symmetry breaking superconductors host topologically protected Bogoliubov Fermi surfaces in the presence of interband pairing 39,40 .…”

mentioning

confidence: 99%

Anapole superconductivity from $${{{{{{{\mathcal{PT}}}}}}}}$$-symmetric mixed-parity interband pairing

Kanasugi

Yanase

2022

Commun Phys

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Recently, superconductivity with spontaneous time-reversal or parity symmetry breaking is attracting much attention owing to its exotic properties, such as nontrivial topology and nonreciprocal transport. Particularly fascinating phenomena are expected when the time-reversal and parity symmetry are simultaneously broken. This work shows that time-reversal symmetry-breaking mixed-parity superconducting states generally exhibit an unusual asymmetric Bogoliubov spectrum due to nonunitary interband pairing. For generic two-band models, we derive the necessary conditions for the asymmetric Bogoliubov spectrum. We also demonstrate that the asymmetric Bogoliubov quasiparticles lead to the effective anapole moment of the superconducting state, which stabilizes a nonuniform Fulde-Ferrell-Larkin-Ovchinnikov state at zero magnetic fields. The concept of anapole order employed in nuclear physics, magnetic materials science, strongly correlated electron systems, and optoelectronics is extended to superconductors by this work. Our conclusions are relevant for any multiband superconductors with competing even- and odd-parity pairing channels. Especially, we discuss the superconductivity in UTe2.

show abstract

Origin of the anomalous Hall effect in two-band chiral superconductors

Cited by 14 publications

References 44 publications

Anapole superconductivity from $\mathcal{PT}$-symmetric mixed-parity interband pairing

Anapole superconductivity from $\mathcal{PT}$-symmetric mixed-parity interband pairing

A review of some new perspectives on the theory of superconducting Sr$_2$RuO$_4$

Anapole superconductivity from $${{{{{{{\mathcal{PT}}}}}}}}$$-symmetric mixed-parity interband pairing

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