Study of the Superfluid Transition in Two-Dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

Bishop, David J.; Reppy, J. D.

doi:10.1103/physrevlett.40.1727

Cited by 644 publications

(443 citation statements)

References 11 publications

Supporting

Mentioning

407

Contrasting

Unclassified

Order By: Relevance

“…5(c) [56]. We find that: (1) the systems with different c int exhibit distinctly different slopes; (2) the T → 0 values of n s2d /m * is more than a factor of 2 larger than the "KT-jump" value n s2d /m * (T = T KT ) expected by the KT theory shown by the T KT line [57]; and (3) T c ∝ 1/c int from the early studies of YBCO/PrBCO sandwich layer systems [58]. These features indicate that the simplest version of the KT theory for 2-dimensional systems is not adequate to account for the transition temperatures of cuprtates.…”

Section: Two Dimensional Aspectsmentioning

confidence: 73%

See 1 more Smart Citation

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Uemura¹

2004

J. Phys.: Condens. Matter

100

123

View full text Add to dashboard Cite

To find out a primary determing factor of Tc and a pairing mechanism in high-Tc cuprates, we combine the muon spin relaxation results on ns/m * (superconducting carrier density / effective mass), accumulated over the last 15 years, with the results from neutron and Raman scattering, STM, specific heat, Nernst effect and ARPES measurements. We identify the neutron magnetic resonance mode as an analogue of roton minimum in the superfluid 4 He, and argue that ns/m * and the resonance mode energy ωres play a primary role in determining Tc in the underdoped region. We propose a picture that roton-like excitations in the cuprates appear as a coupled mode, which has the resonance mode for spin and charge responses at different momentum transfers but the same energy transfers, as detected respectively, by the neutron S=1 mode and the Raman S=0 A1g mode. We shall call this as the "hybrid spin/charge roton". After discussing the role of dimensionality in condensation, we propose a generic phase diagram of the cuprates with spatial phase separation in the overdoped region as a special case of the BE-BCS crossover conjecture where the superconducting coupling is lost rapidly in the overdoped region. Using a microscopic model of charge motion resonating with antiferomagnetic spin fluctuations, we propose a possibility that the hybrid spin/charge roton and higher-energy spin fluctuations mediate the superconducting pairing. In this model, the resonance modes can be viewed as a meson-analogue and the "dome" shape of the phase diagram can be understood as a natural consequence of departure from the competing Mott insulator ground state via carrier doping.

show abstract

Section: Two Dimensional Aspectsmentioning

confidence: 73%

“…The blue arrow illustrates the reduction of the superfluid density from the T → 0 value towards the value expected at TKT . The YBCO data in (a) shows even further reduction from this "TKT jump" [57] value as the Tc is approached. 4 He observed by neutron scattering [60].…”

Section: Acknowledgmentmentioning

confidence: 99%

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Uemura¹

2004

J. Phys.: Condens. Matter

100

123

View full text Add to dashboard Cite

show abstract

“…The XY -type of transition is related by duality to roughening transitions in solid-on-solid and related models [5]. Apart from the XY model, BKT transitions are found, among others, in vertex models [6], models of crystal surfaces [7], the antiferromagnetic triangular Ising model [8], string theory [9], network systems [10], superfluid systems [11], and superconducting systems [12]. These models may involve long-or short-range interactions.…”

Section: Introductionmentioning

confidence: 99%

Berezinskii-Kosterlitz-Thouless-like percolation transitions in the two-dimensionalXYmodel

Deng

Blöte

2011

Phys. Rev. E

View full text Add to dashboard Cite

We study a percolation problem on a substrate formed by two-dimensional XY spin configurations using Monte Carlo methods. For a given spin configuration, we construct percolation clusters by randomly choosing a direction x in the spin vector space, and then placing a percolation bond between nearest-neighbor sites i and j with probability p ij = max(0,1 − e −2Ks x i s x j ), where K > 0 governs the percolation process. A line of percolation thresholds K c (J ) is found in the low-temperature range J J c , where J > 0 is the XY coupling strength. Analysis of the correlation function g p (r), defined as the probability that two sites separated by a distance r belong to the same percolation cluster, yields algebraic decay for K K c (J ), and the associated critical exponent depends on J and K. Along the threshold line K c (J ), the scaling dimension for g p is, within numerical uncertainties, equal to 1/8. On this basis, we conjecture that the percolation transition along the K c (J ) line is of the Berezinskii-Kosterlitz-Thouless type.

show abstract

“…The two principle pictures for the KT transition, related by duality, are those of vortex unbinding and surface r oughening. It is through the former that KT theory received its rst quantitative experimental veri cation in 2D He 3 [7], while roughening of solid surfaces has been known for many y ears to materials scientists [8] and is an important technological consideration in determining rate and mode of crystal growth.…”

Section: Introductionmentioning

confidence: 99%

The Kosterlitz-Thouless phenomenon on a fluid random surface

Dalley

1994

Nuclear Physics B

View full text Add to dashboard Cite

The problem of a periodic scalar eld on a two-dimensional lattice with uctuating local connectivity is studied, using matrix model techniques, with the inclusion of vortices in the action. This represents, for example, c = 1 string theory at nite temperature or (under duality) the SOS approximation for thermal uctuations of a uid surface in a periodic potential. By reduction to an eigenvalue problem, an exact solution is obtained at a speci c radius in the vortex-plasma phase on genus zero as as a function of the vortex chemical potential | it represents the rst exact solution of a non-critical string theory with non-treelike e m beddings | vortex{anti-vortex pairs forming cuts in the scalar eld which disorder it in the infra-red limit ( str = 1=2). The system represents a Coulomb gas of charges in the presence of 2D quantum gravity. The class of matrix models employed here on the circle, of Weingarten type, is expressible as a lattice gauge theory with matter in the adjoint representation and easily generalizes to c > 1 string theory and uid membranes with rigidity; the prospects for exact solutions are brie y addressed.? Address after September 1993: Department o f P h ysics, Theoretical Physics, Oxford University, Oxford OX1 3NP, United Kingdom.

show abstract

Study of the Superfluid Transition in Two-DimensionalHe4Films

Cited by 644 publications

References 11 publications

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Berezinskii-Kosterlitz-Thouless-like percolation transitions in the two-dimensionalXYmodel

The Kosterlitz-Thouless phenomenon on a fluid random surface

Contact Info

Product

Resources

About

Study of the Superfluid Transition in Two-DimensionalHe4Films

Cited by 644 publications

References 11 publications

Condensation, excitation, pairing, and superfluid density in high-Tc superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Condensation, excitation, pairing, and superfluid density in high-Tc superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Berezinskii-Kosterlitz-Thouless-like percolation transitions in the two-dimensionalXYmodel

The Kosterlitz-Thouless phenomenon on a fluid random surface

Contact Info

Product

Resources

About

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing

Condensation, excitation, pairing, and superfluid density in high-T_c superconductors: the magnetic resonance mode as a roton analogue and a possible spin-mediated pairing