Coulomb Blockade and Bloch Oscillations in Superconducting Ti Nanowires

Lehtinen, Janne; Zakharov, Konstantin V.; Arutyunov, K. Yu.

doi:10.1103/physrevlett.109.187001

Cited by 67 publications

(77 citation statements)

References 31 publications

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“…[14][15][16] QPS in InO x has been demonstrated via spectroscopic measurements of E S in a QPS qubit, 2 while alternative evidence for QPS (in fact, for the dual effect of coherent tunneling of single Cooper pairs) has been observed in NbSi nanowires via quantum interference in a device dual to the SQUID consisting of two QPSJs joined by a superconducting island. 15 Preliminary signs of QPS 17,18 and of dual Shapiro steps 19 have been observed in a Ti nanowire, but only traces of steps are observed.…”

Section: Introductionmentioning

confidence: 99%

NbSi nanowire quantum phase-slip circuits: dc supercurrent blockade, microwave measurements, and thermal analysis

et al. 2013

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We present a detailed report of microwave irradiation of ultranarrow superconducting nanowires. In our nanofabricated circuits containing a superconducting NbSi nanowire, a dc blockade of current flow was observed at low temperatures below a critical voltage V c , a strong indicator of the existence of quantum phase-slip (QPS) in the nanowire. We describe the results of applying microwaves to these samples, using a range of frequencies and both continuous-wave and pulsed drive, in order to search for dual Shapiro steps which would constitute an unambiguous demonstration of quantum phase-slip. We observed no steps, and our subsequent thermal analysis suggests that the electron temperature in the series CrO resistors was significantly elevated above the substrate temperature, resulting in sufficient Johnson noise to wash out the steps. To understand the system and inform future work, we have constructed a numerical model of the dynamics of the circuit for dc and ac bias (both continuous-wave and pulsed drive signals) in the presence of Johnson noise. Using this model, we outline important design considerations for device and measurement parameters which should be used in any future experiment to enable the observation of dual Shapiro steps at experimentally accessible temperatures and, thus, lead to the development of a QPS-based quantum current standard.

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Section: Introductionmentioning

confidence: 99%

NbSi nanowire quantum phase-slip circuits: dc supercurrent blockade, microwave measurements, and thermal analysis

et al. 2013

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“…Quantum dynamics of a current-biased JJ with large charging energy E C >E J can be described by equations similar to motion of a particle in a periodic potential [11,12]. The corresponding Bloch oscillations have been observed in ultra-small JJs [13] and QPSJs [14][15][16]. The objective of this paper is to study the current-voltage characteristics of current-biased thin superconducting channels in the regime of QPS.…”

Section: Introductionmentioning

confidence: 99%

The Quantum Phase Slip Phenomenon in Superconducting Nanowires with High-Impedance Environment

Arutyunov

Lehtinen

Rantala

2015

J Supercond Nov Magn

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“…Their number and configuration are randomly changed by external voltages. We argue that this could explain the lack of success in achieving sharp current steps under RF or microwave driving, for both junction chains [31] and superconducting nanowires [32,33]. …”

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confidence: 99%

Insulating Josephson Junction Chains as Pinned Luttinger Liquids

et al. 2017

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Quantum physics in one spatial dimension is remarkably rich, yet even with strong interactions and disorder, surprisingly tractable. This is due to the fact that the low-energy physics of nearly all one-dimensional systems can be cast in terms of the Luttinger liquid, a key concept that parallels that of the Fermi liquid in higher dimensions. Although there have been many theoretical proposals to use linear chains and ladders of Josephson junctions to create novel quantum phases and devices, only modest progress has been made experimentally. One major roadblock has been understanding the role of disorder in such systems. We present experimental results that establish the insulating state of linear chains of sub-micron Josephson junctions as Luttinger liquids pinned by random offset charges, providing a one-dimensional implementation of the Bose glass, strongly validating the quantum many-body theory of one-dimensional disordered systems. The ubiquity of such an electronic glass in Josephson-junction chains has important implications for their proposed use as a fundamental current standard, which is based on synchronisation of coherent tunnelling of flux quanta (quantum phase slips).The combined effects of interaction and disorder in superfluid bosonic condensates can have drastic consequences, leading to the Mott insulator [1,2] and BoseAnderson glass [3][4][5]. The latter is thought to describe helium-4 in porous media, cold atoms in disordered optical potentials, disordered magnetic insulators, and thin superconducting films. The prototypical Bose-Hubbard model without disorder predicts a Beresinskii-KosterlitzThouless quantum phase transition between superfluid and Mott insulator. Experimental implementation using arrays of Josephson junctions has been explored [6][7][8], however, the possibility of the insulating glass has not been considered.One-dimensional arrays of Josephson junctions are notable for application as a fundamental current standard [9,10], which is based on synchronisation of a 'dual' Josephson effect, envisioned to arise from coherent quantum tunnelling of flux quanta, or so-called quantum phase slips [11][12][13][14][15]. Unlike the Mott insulator, the insulating glass is compressible, therefore AC synchronisation of charge may not be possible. Although the presence of offset charge disorder is well-established for small superconducting islands, it has not been sufficiently addressed in regards to dual Josephson effects.We have measured critical voltages for a large number of simple chains of sub-micron Josephson junctions with significantly varying energy scales. We observe universal scaling of critical voltage with single-junction Bloch bandwidth. Our measurements reveal a localisation length exponent that steepens with Luttinger parameter, K, arising from precursor fluctuations as one approaches the Bose glass-superfluid quantum phase transition. This contrasts with the fixed exponent found for classical pinning of charge density waves [16], vortex lattices [17] and disordered spin syst...

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Coulomb Blockade and Bloch Oscillations in Superconducting Ti Nanowires

Cited by 67 publications

References 31 publications

NbSi nanowire quantum phase-slip circuits: dc supercurrent blockade, microwave measurements, and thermal analysis

NbSi nanowire quantum phase-slip circuits: dc supercurrent blockade, microwave measurements, and thermal analysis

The Quantum Phase Slip Phenomenon in Superconducting Nanowires with High-Impedance Environment

Insulating Josephson Junction Chains as Pinned Luttinger Liquids

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