Isolated zeros in the spectral function as signature of a quantum continuum

Gnezdilov, N. V.; Krikun, Alexander; Schalm, Koenraad; Zaanen, Jan

doi:10.1103/physrevb.99.165149

Cited by 8 publications

(13 citation statements)

References 24 publications

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“…Another example demonstrating the relation between odd-ω pairing and MZMs was recently investigated in the Sachdev-Ye-Kitaev (SYK) model [228]. The SYK model consists of N interacting MZMs, where the interactions between MZMs are allto-all and completely random [229,230].…”

Section: Majorana Devicesmentioning

confidence: 99%

“…In Ref. [228] a non-interacting single-state QD was considered randomly coupled to the MZMs and solved in the large N limit, for low frequencies. Interestingly, the Green's function in the QD acquires anomalous terms given by f (iω m ) = [λ 2 G γ (iω m )]/[ 2 − iω m [iω m − 2λ 2 G γ (iω m )]], where G γ = −iπ 1/4 sgn(ω m (J|ω m |) −1/2 ), λ characterizes the variance of the couplings between the MZMs in the SYK model and the QD, J describes the variance of the interactions between MZMs, and is the QD energy.…”

Section: Majorana Devicesmentioning

confidence: 99%

“…Moreover, the author of Ref. [228] stresses that the absence of a gap in the presence of this pairing indicates the emergence of gapless superconductivity in zero dimensions [232][233][234].…”

Section: Majorana Devicesmentioning

confidence: 99%

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Odd-frequency superconducting pairing in one-dimensional systems

Cayao¹,

Triola²,

Black‐Schaffer³

2020

Eur. Phys. J. Spec. Top.

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Odd-frequency superconductivity represents a truly unconventional ordered state which, in contrast to conventional superconductivity, exhibits pair correlations which are odd in relative time and, hence, inherently dynamical. In this review article we provide an overview of recent advances in the study of odd-frequency superconducting correlations in one-dimensional systems. In particular, we focus on recent developments in the study of nanowires with Rashba spin-orbit coupling and metallic edges of two-dimensional topological insulators in proximity to conventional superconductors. These systems have recently elicited a great deal of interest due to their potential for realizing one-dimensional topological superconductivity whose edges can host Majorana zero modes. We also provide a detailed discussion of the intimate relationship between Majorana zero modes and odd-frequency pairing. Throughout this review, we highlight the ways in which odd-frequency pairing provides a deeper understanding of the unconventional superconducting correlations present in each of these intriguing systems and how the study and control of these states holds the potential for future applications. a

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Section: Majorana Devicesmentioning

confidence: 99%

Section: Majorana Devicesmentioning

confidence: 99%

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Odd-frequency superconducting pairing in one-dimensional systems

Cayao¹,

Triola²,

Black‐Schaffer³

2020

Eur. Phys. J. Spec. Top.

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“…The density plot shows a cut through the same data asFig.4in the k x , ω plane, at k y = 0.001 √ ρ. Around (k x , ω) ≈ (±0.4, 0.02), the dark lines crossing through the inner Dirac cone arise from the "resonant" type zeroes[30] discussed in Sec. 1.…”

mentioning

confidence: 96%

Isolated zeros destroy Fermi surface in holographic models with a lattice

Balm

Krikun

Romero-Bermúdez

et al. 2020

J. High Energ. Phys.

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We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green's function, which are explicitly computable in the holographic dual.

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“…Note also that the possibility of the odd-frequency superconductivity in the SYK model was recently considered in refs. [6,16].…”

Section: Doi: 101002/andp201900529mentioning

confidence: 99%

Quantum Pairing Time Orders

2020

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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 capture the energy scale relevant for pairing.

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Isolated zeros in the spectral function as signature of a quantum continuum

Cited by 8 publications

References 24 publications

Odd-frequency superconducting pairing in one-dimensional systems

Odd-frequency superconducting pairing in one-dimensional systems

Isolated zeros destroy Fermi surface in holographic models with a lattice

Quantum Pairing Time Orders

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