Dimensional crossover in the quasi-one-dimensional superconductor Tl2Mo6Se6

Mitra, S.; Petrović, A. P.; Salloum, D.; Gougeon, P.; Potel, M.; Zhu, Jian -Xin; Panagopoulos, C.; Chia, Elbert E. M.

doi:10.1103/PhysRevB.98.054507

Title: Dimensional crossover in the quasi-one-dimensional superconductor ${Tl}_{2} {Mo}_{6} {Se}_{6}$

Abstract

Here, we present magnetic penetration depth and electrical transport data in single crystals of quasi-one-dimensional (q1D) Tl₂Mo₆Se₆, which reveal a 1D→3D superconducting dimensional crossover. The c-axis penetration depth shows the onset of superconducting fluctuations below T^ons_1D = 6.7 K, whereas signatures of superconductivity in the ab-plane penetration depth (a uniquely sensitive probe of the transverse phase stiffness) only emerge below T^ons_3D = 4.9 K. An anomalously low superfluid density persists down to ~3 K before rising steeply, in agreement with a theoretical model for crossovers in q1D superconductors. Our data analysis suggests that a sequence of pairing and phase fluctuation regimes controls the unusually broad superconducting transition. In particular, the electrical resistivity below T^ons_3D is quantitatively consistent with the establishment of phase coherence through gradual binding of Josephson vortex strings to form 3D loops. This dimensional crossover within the superconducting state occurs despite the relatively large transverse hopping predicted from the band structure. Furthermore, our results have important consequences for the low-temperature normal state in Tl₂Mo₆Se₆ and similar q1D metals, which may retain one-dimensional behavior to lower temperatures than expected from theory.

Authors:

Mitra, S. ^[1]; Petrović, A. P. ^[1]; Salloum, D. ^[2]; Gougeon, P. ^[3]; Potel, M. ^[3];

^[4]; Panagopoulos, C. ^[1]; Chia, Elbert E. M. ^[1]

Nanyang Technological Univ. (Singapore)
Univ. de Rennes, Rennes Cedex (France); Lebanese Univ., Kobbeh-Tripoli (Lebanon)
Univ. de Rennes, Rennes Cedex (France)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2018-08-14

Research Org.:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1477720

Alternate Identifier(s):: OSTI ID: 1464580

Report Number(s):: LA-UR-17-28618
Journal ID: ISSN 2469-9950; PRBMDO

Grant/Contract Number:: AC52-06NA25396; E3B7

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review B

Additional Journal Information:: Journal Volume: 98; Journal Issue: 5; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science

Citation Formats


                    Mitra, S., Petrović, A. P., Salloum, D., Gougeon, P., Potel, M., Zhu, Jian -Xin, Panagopoulos, C., and Chia, Elbert E. M. Dimensional crossover in the quasi-one-dimensional superconductor Tl2Mo6Se6.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevB.98.054507.

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                    Mitra, S., Petrović, A. P., Salloum, D., Gougeon, P., Potel, M., Zhu, Jian -Xin, Panagopoulos, C., & Chia, Elbert E. M. Dimensional crossover in the quasi-one-dimensional superconductor Tl2Mo6Se6.  United States.  https://doi.org/10.1103/PhysRevB.98.054507

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                    Mitra, S., Petrović, A. P., Salloum, D., Gougeon, P., Potel, M., Zhu, Jian -Xin, Panagopoulos, C., and Chia, Elbert E. M. Tue .  
"Dimensional crossover in the quasi-one-dimensional superconductor Tl2Mo6Se6".  United States.  https://doi.org/10.1103/PhysRevB.98.054507.  https://www.osti.gov/servlets/purl/1477720.

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@article{osti_1477720,

  title        = {Dimensional crossover in the quasi-one-dimensional superconductor Tl2Mo6Se6},

  author       = {Mitra, S. and Petrović, A. P. and Salloum, D. and Gougeon, P. and Potel, M. and Zhu, Jian -Xin and Panagopoulos, C. and Chia, Elbert E. M.},

  abstractNote = {Here, we present magnetic penetration depth and electrical transport data in single crystals of quasi-one-dimensional (q1D) Tl2Mo6Se6, which reveal a 1D→3D superconducting dimensional crossover. The c-axis penetration depth shows the onset of superconducting fluctuations below Tons1D = 6.7 K, whereas signatures of superconductivity in the ab-plane penetration depth (a uniquely sensitive probe of the transverse phase stiffness) only emerge below Tons3D = 4.9 K. An anomalously low superfluid density persists down to ~3 K before rising steeply, in agreement with a theoretical model for crossovers in q1D superconductors. Our data analysis suggests that a sequence of pairing and phase fluctuation regimes controls the unusually broad superconducting transition. In particular, the electrical resistivity below Tons3D is quantitatively consistent with the establishment of phase coherence through gradual binding of Josephson vortex strings to form 3D loops. This dimensional crossover within the superconducting state occurs despite the relatively large transverse hopping predicted from the band structure. Furthermore, our results have important consequences for the low-temperature normal state in Tl2Mo6Se6 and similar q1D metals, which may retain one-dimensional behavior to lower temperatures than expected from theory.},

  doi          = {10.1103/PhysRevB.98.054507},

  journal      = {Physical Review B},

  number       = 5,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {8}

}

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Journal Article Tian, Wei ; Yan, Jiaqiang ; Kolesnikov, Alexander I. - Physical Review B

NaCrGe₂O₆ and NaCrSi₂O₆ are isostructural compounds exhibiting different magnetic ground states. NaCrGe2O6 adopts a ferromagnetic ground state with Tc=6K, whereas NaCrSi₂O₆ orders antiferromagnetically below T_N=3.4K. Although it has been proposed that the intriguing magnetic behavior in Cr-based pyroxenes involves competition between antiferromagnetic direct exchange and ferromagnetic superexchange interactions, a delicate balance that is sensitive to Cr-Cr distance and local distortion, no spectroscopy study has been done to determine the microscopic interactions in these compounds. To delve deeper into the evolution from ferromagnetism to antiferromagnetism, we performed a doping-dependent study to investigate how the substitution of Ge by Si affects themore »« less
https://doi.org/10.1103/PhysRevB.99.064427

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${}^{77}{Se}$ NMR investigation of the $K_{x}$ Fe $_{2 - y}$ Se $_{2}$ high- $T_{c}$ superconductor ( $T_{c} = 33$ K)

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We report comprehensive 77 Se NMR measurements on a single crystalline sample of the recently discovered FeSe-based high-temperature superconductor K x Fe 2 - y Se 2 ( T c = 33 K) in a broad temperature range up to 290 K. Despite deviations from the stoichiometric KFe 2 Se 2 composition, we observed 77 Se NMR line shapes as narrow as 4.5 kHz under a magnetic field applied along the crystal c axis, and found no evidence for co-existence of magnetic order with superconductivity. On the other hand, the 77 Se NMR line shape splits into two peaks withmore »« less
https://doi.org/10.1103/PhysRevB.83.104508
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We present the results of ⁷⁵As nuclear magnetic resonance (NMR), nuclear quadrupole resonance (NQR), and resistivity measurements in KF_e2 As₂ under pressure (p). The temperature dependence of the NMR shift, nuclear spin-lattice relaxation time (T₁), and resistivity show a crossover between a high-temperature incoherent, local-moment behavior and a low-temperature coherent behavior at a crossover temperature (T*). T* is found to increase monotonically with pressure, consistent with increasing hybridization between localized 3d orbital-derived bands with the itinerant electron bands. No anomaly in T* is seen at the critical pressure p_c= 1.8 GPa where a change of slope of the superconducting (SC)more »« less
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Two spatially separated phases in semiconducting ${Rb}_{0.8} {Fe}_{1.5} S_{2}$

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We report neutron scattering and transport measurements on semiconducting Rb_0.8Fe_1.5S₂, a compound isostructural and isoelectronic to the well-studied A_0.8Fe_ySe₂(A = K, Rb, Cs, Tl/K) superconducting systems. Both resistivity and DC susceptibility measurements reveal a magnetic phase transition at T = 275 K. Neutron diffraction studies show that the 275 K transition originates from a phase with rhombic iron vacancy order which exhibits an in-plane stripe antiferromagnetic ordering below 275 K. In addition, the stripe antiferromagnetic phase interdigitates mesoscopically with an ubiquitous phase with √5 x√5 iron vacancy order. This phase has a magnetic transition at T_N = 425 K andmore »« less
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Irradiation with 1.4 GeV ²⁰⁸ Pb ions was used to induce artificial disorder in single crystals of iron-arsenide superconductor Ba(Fe _{1 - x} Co _x ) ₂ As ₂ and to study its effects on the temperature-dependent London penetration depth and transport properties. A study was undertaken on overdoped single crystals with x = 0.108 and x = 0.127 characterized by notable modulation of the superconducting gap. Irradiation corresponding to the matching fields of B _Φ = 6 T and 6.5 T with doses 2.22 × 10 ¹¹ d /cm ² and 2.4 × 10 ¹¹ d /cm 2 ,more »« less
https://doi.org/10.1103/PhysRevB.88.054514

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Title: Dimensional crossover in the quasi-one-dimensional superconductor Tl 2 Mo 6 Se 6

Abstract

Citation Formats

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Title: Dimensional crossover in the quasi-one-dimensional superconductor ${Tl}_{2} {Mo}_{6} {Se}_{6}$

Dimensional crossover transition in a system of weakly coupled superconducting nanowires
journal, October 2012

New pseudo-one-dimensional metals: M2Mo6Se6 (M = Na, In, K, TI), M2Mo6S6 (M = K, Rb, Cs), M2Mo6Te6 (M = In, TI)
journal, November 1980

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
journal, November 1966

Dimensional Crossover in the Purple Bronze ${Li}_{0.9} {Mo}_{6} O_{17}$
journal, June 2007

Nuclear relaxation and electronic correlations in quasi-one-dimensional organic conductors. II. Experiments
journal, January 1993

Probing the superconducting gap symmetry of $α - {PdBi}_{2}$ : A penetration depth study
journal, April 2017

Probing the Superconducting Gap Symmetry of ${P r O s}_{4} {S b}_{12}$ : A Penetration Depth Study
journal, December 2003

Spectrum and Correlation Functions of a Quasi-One-Dimensional Quantum Ising Model
journal, May 2003

Unconventional resistive transitions in the extreme type-II superconductor Tl2Mo6Se6
journal, September 2007

Reentrant Phase Coherence in Superconducting Nanowire Composites
journal, December 2015

Renormalization and the Kosterlitz-Thouless transition in a two-dimensional superconductor
journal, June 1983

Evolution from BCS to Berezinskii-Kosterlitz-Thouless Superfluidity in One-Dimensional Optical Lattices
journal, October 2009

Quantum phase slips in superconducting Nb nanowire networks deposited on self-assembled Si templates
journal, October 2012

Quasi two-dimensional electronic properties of the lithium molybdenum bronze, Li0.9Mo6O17
journal, September 1984

Theoretical Framework for Quasi-One Dimensional Systems
journal, November 2004

Magnetic penetration depth in unconventional superconductors
journal, June 2006

The exotic superconductor Tl2Mo6Se6 investigated by low field magnetization measurements
journal, April 1988

Resistance anomalies in superconducting mesoscopic Al structures
journal, May 1998

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journal, April 1991

New Mechanisms for Phase Transitions in Quasi-One-Dimensional Conductors
journal, February 1988

Superconductivity in one dimension
journal, July 2008

Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal Monochalcogenides
journal, May 2017

Superconducting fluctuation study of the 110 K phase in polycrystalline Bi1.6Pb0.4Sr2Ca2Cu3Oγ high-Tc superconductor
journal, February 1995

Spin Excitations in Fluctuating Stripe Phases of Doped Cuprate Superconductors
journal, August 2006

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journal, September 2011

The resistive transition of superconducting layer compounds
journal, August 1971

A disorder-enhanced quasi-one-dimensional superconductor
journal, July 2016

Resistive transition in superconducting films
journal, September 1979

Kosterlitz-Thouless Transition in Proximity-Coupled Superconducting Arrays
journal, November 1981

Phonon mode spectroscopy, electron-phonon coupling, and the metal-insulator transition in quasi-one-dimensional $M_{2} {Mo}_{6} {Se}_{6}$
journal, December 2010

High Tc superconductivity in a superlattice of quantum stripes
journal, May 1997

Commensurate and Incommensurate Spin-Density Waves and a Modified Phase Diagram of the Bechgaard Salts
journal, September 1995

Finite-size effects and dynamical scaling in two-dimensional Josephson junction arrays
journal, April 2001

Superconductivity in Quasi-One-Dimensional $K_{2} {Cr}_{3} {As}_{3}$ with Significant Electron Correlations
journal, February 2015

Evolution of superconducting order in Pr(Os _{1− x} Ru _x ) ₄ Sb ₁₂
journal, July 2005

Nonlocality and strong coupling in the heavy fermion superconductor ${CeCoIn}_{5} :$ A penetration depth study
journal, January 2003

Kinetics and Boltzmann kinetic equation for fluctuation Cooper pairs
journal, August 2003

The gap amplification at a shape resonance in a superlattice of quantum stripes: A mechanism for high Tc
journal, October 1996

Novel superconducting phenomena in quasi-one-dimensional Bechgaard salts
journal, March 2016

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journal, September 2011

Observation of high T _c one dimensional superconductivity in 4 angstrom carbon nanotube arrays
journal, February 2017

Quantum fluctuations in quasi-one-dimensional superconductors
journal, May 1983

Temperature Dependence of the Penetration Depth in ${Sr}_{2} {RuO}_{4}$ : Evidence for Nodes in the Gap Function
journal, November 2000

Superconducting characteristics of 4-A carbon nanotube-zeolite composite
journal, April 2009

Dissipation in quasi-one-dimensional superconducting single-crystal $Sn$ nanowires
journal, March 2005

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journal, June 1967

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journal, June 1986

Fluctuation conductivity of layered high- $T_{c}$ superconductors: A theoretical analysis of recent experiments
journal, November 1991

Chevrel phases: Past, present and future
journal, July 2015

Vortex-Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High- $T_{c}$ Superconductors
journal, February 1999

Intrinsic Resistive Transition in Narrow Superconducting Channels
journal, December 1967

Superconducting resistive transition in coupled arrays of $4 Å$ carbon nanotubes
journal, May 2010

The role of the coherence length for the establishment of global phase coherence in arrays of ultra-thin superconducting nanowires
journal, September 2017

Broken translational and rotational symmetry via charge stripe order in underdoped YBa2Cu3O6+y
journal, March 2015

Effects of pressure and magnetic field on superconductivity in ZrTe ₃ : local pair-induced superconductivity
journal, June 2017

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journal, March 2007

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journal, January 1980

Direct observation of dynamic charge stripes in La2–xSrxNiO4
journal, March 2014

1D to 3D dimensional crossover in the superconducting transition of the quasi-one-dimensional carbide superconductor Sc ₃ CoC ₄
journal, February 2015

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journal, February 1980

Doping-dependent anisotropic superconducting gap in Na $_{1 - δ}$ (Fe $_{1 - x}$ Co $_{x}$ )As from London penetration depth
journal, July 2012

Kosterlitz-Thouless signatures from 3D vortex loops in layered superconductors
journal, January 1994

Anisotropic three-dimensional XY model and vortex-loop scaling
journal, April 1995

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journal, November 2001

Superconducting and dielectric instabilities in ${Tl}_{2}$ ${Mo}_{6}$ ${Se}_{6}$ : Unusual transport properties and unsaturating critical field
journal, April 1994

Generalized Ginzburg-Landau theory of pseudo-one-dimensional systems
journal, March 1975

Low-Temperature Penetration Depth of $κ - (ET)_{2} Cu [N (CN)_{2}] Br$ and $κ - (ET)_{2} Cu (NCS)_{2}$
journal, November 1999

Superconducting transitions of intrinsic arrays of weakly coupled one-dimensional superconducting chains: the case of the extreme quasi-1D superconductor Tl ₂ Mo ₆ Se ₆
journal, October 2011

Evidence for nodal superconductivity in quasi-one-dimensional $K_{2} {Cr}_{3} {As}_{3}$
journal, June 2015

Chevrel phases: Superconducting and normal state properties
journal, May 1978

Universal Jump in the Superfluid Density of Two-Dimensional Superfluids
journal, November 1977

Topological superconductor in quasi-one-dimensional ${Tl}_{2 - x} {Mo}_{6} {Se}_{6}$
journal, January 2018

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journal, September 1985

Electrostatically-tuned superconductor-metal-insulator quantum transition at the ${LaAlO}_{3} / {SrTiO}_{3}$ interface
journal, May 2009

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journal, August 2002

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journal, April 2013

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