2020
DOI: 10.1002/andp.201900529
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Quantum Pairing Time Orders

Abstract: The concept of the time‐independent correlators for the even‐ and odd‐frequency pairing states that can be defined for both bosonic and fermionic quasiparticles is proposed. These correlators explicitly capture the existence of two distinct classes of pairing states and provide a direct probe of the hidden Berezinskii order. This concept is illustrated in the cases of pairings for Majorana fermions and quasiparticles in Dirac semimetals. It is shown that the time‐independent correlator is able to effectively c… Show more

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Cited by 4 publications
(5 citation statements)
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“…The triplet nature of the proposed light-induced dynamical correlations provides an additional advantage opening a perspective of photon-magnon coupling mediated by the triplet correlations. The proposed effect extends the possibilities of generating and controlling nonequilibrium states of matter which have attracted significant attention recently, such as Floquet topological insulators [18], oddfrequency superconductivity [19], time crystals [20][21][22], driven Dirac materials [23][24][25], light-induced and lightmanipulated superconductivity [26][27][28][29][30][31][32], vortex states [33,34], cavity-enhanced ferroelectric phase transition [35] and dynamical hidden orders [36][37][38][39].…”
mentioning
confidence: 84%
“…The triplet nature of the proposed light-induced dynamical correlations provides an additional advantage opening a perspective of photon-magnon coupling mediated by the triplet correlations. The proposed effect extends the possibilities of generating and controlling nonequilibrium states of matter which have attracted significant attention recently, such as Floquet topological insulators [18], oddfrequency superconductivity [19], time crystals [20][21][22], driven Dirac materials [23][24][25], light-induced and lightmanipulated superconductivity [26][27][28][29][30][31][32], vortex states [33,34], cavity-enhanced ferroelectric phase transition [35] and dynamical hidden orders [36][37][38][39].…”
mentioning
confidence: 84%
“…Keeping only the slowest varying term in the angular-dependent part of the potential proportional to cos( − ′ )∕2, we getṼ intra = V s (q − q ′ ) cos( − ′ )∕2. The self-consistent gap equation becomes (22) and the excitonic gap is given by…”
Section: Intranodal Versus Internodal Interactionsmentioning
confidence: 99%
“…Prominent recent examples include novel dynamical states in periodically driven systems, such as Floquet topological insulators and time crystals, nonlinear optical and transport effects in graphene and related materials, phonon‐driven Floquet states, light‐induced superconductivity, and transient, or non‐equilibrium, exciton condensate in pumped semimetals and semiconductors . Another example is intrinsically dynamical orders such as odd‐frequency, or Berezinskii, superconducting pairing, which involves correlations non‐local in time and naturally manifests in the time domain, see also related paper in this volume …”
Section: Introductionmentioning
confidence: 99%
“…The relation of oddfrequency, or Berezinskii, pairing to dynamic order is discussed in the article by A.V. Balatsky et al [1] This rapid research letter proposes the concept of the time-independent correlators for the even-and odd-frequency pairing states that can be defined for both bosonic and fermionic quasiparticles. It demonstrates that these time independent correlators explicitly capture the existence of two distinct classes of pairing states: one corresponding to the conventional Bardeen-Cooper-Schrieffer (BCS) state and another captures the dynamic odd-frequency superconducting state.…”
Section: Doi: 101002/andp202000037mentioning
confidence: 99%
“…The relation of odd‐frequency, or Berezinskii, pairing to dynamic order is discussed in the article by A.V. Balatsky et al . This rapid research letter proposes the concept of the time‐independent correlators for the even‐ and odd‐frequency pairing states that can be defined for both bosonic and fermionic quasiparticles.…”
mentioning
confidence: 99%