Host lattice effects in impurity scattering

Lee, Martin J. G.

doi:10.1007/bf01458866

Cited by 5 publications

(6 citation statements)

References 12 publications

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“…These findings are consistent with Ref. [34], which discussed a four-particle chain-like excitation wrapping around the lattice boundaries. In addition to the leading (a/a ff ) 3.54544 dependence on c 3N,4N , we also have corrections proportional to (a/a ff ) 3.54544 times a term proportional to the finite-volume correction of the dimer wave function [33], (a/a ff ) 3.54544 e −L/a ff L/a ff .…”

Section: B Dimer-dimer Scatteringsupporting

confidence: 93%

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Universal dimer–dimer scattering in lattice effective field theory

Elhatisari

Katterjohn²,

Lee

et al. 2017

Physics Letters B

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We consider two-component fermions with short-range interactions and large scattering length. This system has universal properties that are realized in several different fields of physics. In the limit of large fermion-fermion scattering length a ff and zero-range interaction, all properties of the system scale proportionally with a ff . For the case with shallow bound dimers, we calculate the dimer-dimer scattering phase shifts using lattice effective field theory. We extract the universal dimer-dimer scattering length a dd /a ff = 0.618(30) and effective range r dd /a ff = −0.431(48). This result for the effective range is the first calculation with quantified and controlled systematic errors. We also benchmark our methods by computing the fermion-dimer scattering parameters and testing some predictions of conformal scaling of irrelevant operators near the unitarity limit.

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Section: B Dimer-dimer Scatteringsupporting

confidence: 93%

“…This repulsive interaction impedes the formation of the chain-like excitation wrapping around the periodic boundary which was observed in Ref. [34]. So the finite-volume corrections are smaller for large positive values of c 3N,4N , and we expect to recover the usual (a/a ff ) 3.54544 dependence on c 3N,4N .…”

Section: B Dimer-dimer Scatteringsupporting

confidence: 62%

Universal dimer–dimer scattering in lattice effective field theory

Elhatisari

Katterjohn²,

Lee

et al. 2017

Physics Letters B

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“…On the other hand, the result of the recent Knight shift measurements in (TMTSF) 2 PF 6 [13] might be explained by taking a larger ratio of the transition temperatures. In this compound, triplet superconductivity is supported by the Knight shift measurements in a strong magnetic field B = 2.38[T], and the superconducting transition temperature was still about 40% of the zero field transition temperature T c (0) = 1.18 [K] in spite of the high magnetic field.…”

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confidence: 93%

“…In a quasi-one-dimensional organic superconductor (TMTSF) 2 PF 6 , triplet pairing is supported by recent Knight shift measurements by Lee et al [13], but it may appear to contradict the proximity to an antiferromagnetic phase. We will briefly discuss later that it does not necessarily contradict the mechanism of superconductivity with pairing interactions mediated by antiferromagnetic fluctuations.…”

mentioning

confidence: 96%

“…On the other hand, in the organics, cuprates, and heavy fermion superconductors, anisotropic singlet pairing intereactions mediated by antiferromagnetic fluctuations have been examined by many authors, because these compounds are in proximities to antiferromagnetic phases. However, in some of the quasi-one-dimensional organic superconductors and the heavy fermion superconductors, triplet superconductivities have been supported by some experimental results [12,13]. In particular, in some of the heavy fermion superconductors, the triplet pairing seems to be established.…”

mentioning

confidence: 98%

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Coexistence of Singlet and Triplet Attractive Channels in the Pairing Interactions Mediated by Antiferromagnetic Fluctuations

Seki

2000

J. Phys. Soc. Jpn.

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We propose a phase diagram of quasi-low-dimensional type II superconductors in parallel magnetic fields, when antiferromagnetic fluctuations contribute to the pairing interactions. We point out that pairing interactions mediated by antiferromagnetic fluctuations necessarily include both singlet channels and triplet channels as attractive interactions. Usually, a singlet pairing is favored at zero field, but a triplet pairing occurs at high fields where the singlet pairing is suppressed by the Pauli paramagnetic pair-breaking effect. As a result, the critical field increases divergently at low temperatures. A possible relation to experimental phase diagrams of a quasi-one-dimensional organic superconductor is briefly discussed. We also discuss a possibility that a triplet superconductivity is observed even at zero field.

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Phase shift parametrization of scattering

Coleridge

1975

Phys cond Matter

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Host lattice effects in impurity scattering

Cited by 5 publications

References 12 publications

Universal dimer–dimer scattering in lattice effective field theory

Universal dimer–dimer scattering in lattice effective field theory

Coexistence of Singlet and Triplet Attractive Channels in the Pairing Interactions Mediated by Antiferromagnetic Fluctuations

Phase shift parametrization of scattering

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