Scaling of the insulator-to-superconductor transition in ultrathin amorphous Bi films

Liu, Y.; McGreer, K.A.; Nease, B.; Haviland, D. B.; Martinez, Gladys; Halleý, J. W.; Goldman, A. M.

doi:10.1103/physrevlett.67.2068

Cited by 123 publications

(94 citation statements)

References 19 publications

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“…In order to cause the two curves to be superimposed to form a single curve, it is necessary to rescale not only the horizontal, but also the vertical axis. This is different from the case of disorder-induced localization in metallic 2D films [5,6], where the conductance approaches a constant value, independent of disorder, in the high-T limit. This difference may be related to the fact that the metal-insulator transition in LSCO is inherently different, apparently driven primarily by band filling [13].…”

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confidence: 99%

“…3a shows the data for film S1 as a log-log graph of the conductance per single CuO 2 plane, G, against temperature, at different fields. We now adopt the scaling procedure used in several previous studies of disorder-induced localization in various 2D and 3D systems [5][6][7][8]. We find that shifting the data for the different fields along the ln T -axis allows the collapse of the normal-state data to a single curve, as shown in Fig.…”

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confidence: 99%

“…This behavior resembles the transition from strong to weak localization described in Refs. [5] and [6].…”

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confidence: 99%

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Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
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Magnetoresistance measurements of highly underdoped superconducting La 2−x Sr x CuO 4 films with x = 0.051 and x = 0.048, performed in dc magnetic fields up to 20 T and at temperatures down to 40 mK, reveal a magnetic-field induced transition from weak to strong localization in the normal state. The normal-state conductances per CuO 2 -plane, measured at different fields in a single specimen, are found to collapse to one curve with the use of a single scaling parameter that is inversely proportional to the localization length.The scaling parameter extrapolates to zero near zero field and possibly at a finite field, suggesting that in the zero-field limit the electronic states may be extended.Typeset using REVT E X 1

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Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
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“…Similar to the QH situation, some experiments yield a value ν ≈ 1.3 [8], not far from the value ν ≃ 1, predicted by numerical simulations within the random boson model, but closer to the classical percolation value. Other experiments, however, yield ν ≃ 2.8 [9], while some experiments claim an intermediate metallic phase [10]. As a third example, consider the recently claimed metal-insulator transition (MIT) [11].…”

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Unifying Model for Several Classes of Two-Dimensional Phase Transition

Meir

Avishai

2005

Phys. Rev. Lett.

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A relatively simple and physically transparent model based on quantum percolation and dephasing is employed to construct a global phase diagram which encodes and unifies the critical physics of the quantum Hall, "two-dimensional metal-insulator", classical percolation and, to some extent, superconductor-insulator transitions. Using real space renormalization group techniques, crossover functions between critical points are calculated. The critical behavior around each fixed point is analyzed and some experimentally relevant puzzles are addressed. PACS numbers: 71.30.+h,73.43.Nq,74.20.Mn Two-dimensional phase transitions have been a focus of interest for many years, as they may be the paradigms of second order quantum phase transitions (QPTs). However, in spite of the abundance of experimental and theoretical information, there are still unresolved issues concerning their behavior at and near criticality, most simply exposed by the value of the critical exponent ν (describing the divergence of the correlation length at the transition). Below we discuss three examples which underscore these problems. First, in the integer quantum Hall (QH) effect, which is usually described within the single particle framework, various numerical studies yielded a critical exponent ν ≈ 2.35 [1], in agreement with heuristic arguments [2]. Some experiments indeed reported values around 2.4 [3], while other experiments reported exponents around 1.3 [4], close to the classical percolation exponent ν p = 4/3. Even more perplexing, some experiments claim that the width of the transition does not shrink to zero at zero temperature [5], in contradiction with the concept of a QPT. Additionally, the observation of a QH insulator [6] is inconsistent with the QPT scenario [7]. Consider secondly the superconductor (SC) -insulator transition (SIT), for which theoretical studies suggest several scenarios. Similar to the QH situation, some experiments yield a value ν ≈ 1.3 [8], not far from the value ν ≃ 1, predicted by numerical simulations within the random boson model, but closer to the classical percolation value. Other experiments, however, yield ν ≃ 2.8 [9], while some experiments claim an intermediate metallic phase [10]. As a third example, consider the recently claimed metal-insulator transition (MIT) [11]. The critical exponent is again close to 1.3 [12,13] but the occurrence of such phase transition is in clear contrast with the scaling theory of localization.The basic question which naturally arises is then whether it is possible to unify these two dimensional phase transitions within a single theory and thereby resolve some of the problems raised above. A hint toward an affirmative answer is gained by experimental indications that percolation plays a key role in both the QH transition [14] and in the SIT [15]. Moreover, its relevance to the MIT has been argued theoretically and observed experimentally [12,13,16]. The QH and the SIT have been treated within a percolation-like model in Ref.[17], consisting of SC or QH droplets connec...

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“…These encompass a number of different condensed matter systems, from 4 He on disordered substrates [2] or in porous media [3], to dirty superconducting films [4] and Josephson junction arrays [5], to disordered quantum magnets [6]. In fact, this model has often been used to describe the relevant bosonic degrees of freedom near phase transitions in strongly disordered systems.…”

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Quantum dynamics of disordered bosons in an optical lattice

et al. 2012

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We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase diagram of the disordered Bose Hubbard model and obtain the Mott insulator, Bose glass and superfluid phases. We also study the non equilibrium response of the system under a periodic temporal drive where, starting from the superfluid phase, the hopping parameter is ramped down linearly in time, and back to its initial value. We study the density of excitations created, the change in the superfluid order parameter and the energy pumped into the system in this process as a function of the inverse ramp rate τ . For the clean case the density of excitations goes to a constant, while the order parameter and energy relaxes as 1/τ and 1/τ 2 respectively. With disorder, the excitation density decays exponentially with τ , with the decay rate increasing with the disorder, to an asymptotic value independent of the disorder. The energy and change in order parameter also decrease as τ is increased.

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Scaling of the insulator-to-superconductor transition in ultrathin amorphous Bi films

Cited by 123 publications

References 19 publications

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
View full text Add to dashboard Cite

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
View full text Add to dashboard Cite

Unifying Model for Several Classes of Two-Dimensional Phase Transition

Quantum dynamics of disordered bosons in an optical lattice

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Scaling of the insulator-to-superconductor transition in ultrathin amorphous Bi films

Cited by 123 publications

References 19 publications

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuOMalinowski1, Cieplak2, Steenbergen3 et al. 1997Phys. Rev. Lett.17190View full textAdd to dashboardCite

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuOMalinowski1, Cieplak2, Steenbergen3 et al. 1997Phys. Rev. Lett.17190View full textAdd to dashboardCite

Unifying Model for Several Classes of Two-Dimensional Phase Transition

Quantum dynamics of disordered bosons in an optical lattice

Contact Info

Product

Resources

About

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
View full text Add to dashboard Cite

Magnetic-Field–Induced Localization in the Normal State of SuperconductingLa2−xSrxCuO
Malinowski¹,
Cieplak²,
Steenbergen³
et al. 1997
Phys. Rev. Lett.
17
1
9
0
View full text Add to dashboard Cite