Superconductor to spin-density-wave transition in quasi-one-dimensional metals with Ising anisotropy

Rozhkov, A. V.; Millis, Andrew J.

doi:10.1103/physrevb.66.134509

Cited by 8 publications

(6 citation statements)

References 13 publications

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“…86 More recently, this phase boundary between the SDW and the triplet superconductivity has been discussed as having SO(4) symmetry. 87,88 Nevertheless, since exact numerical studies on the purely one-dimensional extended Hubbard model, where the on-site U and the nearest neighbor V is considered, 89 show that superconductivity does not occur in a realistic parameter regime when the interactions are all repulsive, it is likely that some kind of attractive interaction, most probably originating from electron-phonon interaction, should be necessary in order to realize the triplet superconducting state in the g-ology phase diagram, as discussed in some studies.…”

Section: Other Mechanisms For Triplet Pairing: Phononsmentioning

confidence: 99%

Pairing Symmetry Competition in Organic Superconductors

Kuroki

2006

J. Phys. Soc. Jpn.

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A review is given on theoretical studies concerning the pairing symmetry in organic superconductors. In particular, we focus on (TMTSF)2X and κ-(BEDT-TTF)2X, in which the pairing symmetry has been extensively studied both experimentally and theoretically. Possibilities of various pairing symmetry candidates and their possible microscopic origin are discussed. Also some tests for determining the actual pairing symmtery are surveyed.

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Section: Other Mechanisms For Triplet Pairing: Phononsmentioning

confidence: 99%

Pairing Symmetry Competition in Organic Superconductors

Kuroki

2006

J. Phys. Soc. Jpn.

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confidence: 99%

“…However, at a certain fine-tuned point in phase space one may expect the symmetry to be enhanced, from O(M ) × O(2) to O(N ) with N = M + 2. This is not the most general scenario for competition between two order parameters, but it has been conjectured to occur in many different microscopic models, including all of the cases mentioned above [5][6][7][8][9][10][11][12][13].This symmetry enhancement acquires a particularly interesting aspect in layered or two-dimensional systems, where long range order is absent for continuous symmetries due to the Hohenberg-Mermin-Wagner theorem [14]. However, the O(2) sector supports non-trivial topological configurations, i.e.…”

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confidence: 99%

“…The cases M = 1, 2, and 3 correspond to the other order parameter being of Ising, XY, or Heisenberg type, respectively. The M = 1 case describes easy-plane magnetism [8,9]; the case M = 2 relates to supersolid phases in cold-atom systems [5] and to competing density-wave and superconducting order in layered materials [10][11][12]; models with M = 3 have been considered in the context of high-temperature superconductivity [13]. Both order parameters interact and the symmetry of the coupled problem is O(M ) × O (2).…”

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confidence: 99%

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Unbinding of Giant Vortices in States of Competing Order

Fellows

Carr²,

Hooley³

et al. 2012

Phys. Rev. Lett.

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We consider a two-dimensional system with two order parameters, one with O(2) symmetry and one with O(M ), near a point in parameter space where they couple to become a single O(2 + M ) order. While the O(2) sector supports vortex excitations, these vortices must somehow disappear as the high symmetry point is approached. We develop a variational argument which shows that the size of the vortex cores diverges as 1/ √ ∆ and the Berezinskii-Kosterlitz-Thouless transition temperature of the O(2) order vanishes as 1/ ln(1/∆), where ∆ denotes the distance from the highsymmetry point. Our physical picture is confirmed by a renormalization group analysis which gives further logarithmic corrections, and demonstrates full symmetry restoration within the cores. [7]. In all these cases, at least one of the two competing order parameters has XY, i.e. O (2) symmetry, while the other may in general be O(M ). The cases M = 1, 2, and 3 correspond to the other order parameter being of Ising, XY, or Heisenberg type, respectively. The M = 1 case describes easy-plane magnetism [8,9]; the case M = 2 relates to supersolid phases in cold-atom systems [5] and to competing density-wave and superconducting order in layered materials [10][11][12]; models with M = 3 have been considered in the context of high-temperature superconductivity [13]. Both order parameters interact and the symmetry of the coupled problem is O(M ) × O(2). However, at a certain fine-tuned point in phase space one may expect the symmetry to be enhanced, from O(M ) × O(2) to O(N ) with N = M + 2. This is not the most general scenario for competition between two order parameters, but it has been conjectured to occur in many different microscopic models, including all of the cases mentioned above [5][6][7][8][9][10][11][12][13].This symmetry enhancement acquires a particularly interesting aspect in layered or two-dimensional systems, where long range order is absent for continuous symmetries due to the Hohenberg-Mermin-Wagner theorem [14]. However, the O(2) sector supports non-trivial topological configurations, i.e. vortices. The unbinding of vortex-antivortex pairs converts an algebraically ordered superfluid or crystal to a disordered normal fluid. This Berezinskii-Kosterlitz-Thouless (BKT) transition [15][16][17] occurs at a non-zero temperature T BKT .Suppose the fine tuning to a high-symmetry point in the phase diagram is achieved by varying a dimensionless parameter ∆ > 0 towards ∆ = 0 which corresponds to the O(N ) symmetry point. In each realization of this model, the experimental handle corresponding to our parameter ∆ is different -for example in the context of cuprates/organics it would correspond to doping/pressure [13] while for cold dipolar bosons it may be controlled via the angle of a polarizing field [5]. However, no matter which particular microscopic realization of this model is chosen, if N > 2 then T BKT must vanish for ∆ → 0. Indeed, combining spin-wave based renormalization group calculations with crossover arguments one can estimate that T BKT...

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“…SO͑4͒ isospin invariance has been discussed in quasi one-dimensional systems with highly anisotropic spin interactions. 51,52 The ⌰ r operators in Eq. (6) operators define different symmetry groups and apply to different systems.…”

Section: A So"3… ã So"4… Symmetry At Incommensurate Fillingmentioning

confidence: 99%

Competition between triplet superconductivity and antiferromagnetism in quasi-one-dimensional electron systems

Podolsky¹,

Altman²,

Rostunov³

et al. 2004

Phys. Rev. B

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We investigate the competition between antiferromagnetism and triplet superconductivity in quasi-onedimensional electron systems. We show that the two order parameters can be unified using a SO(4) symmetry and demonstrate the existence of such symmetry in one-dimensional Luttinger liquids of interacting electrons. We argue that approximate SO(4) symmetry remains valid even when interchain hopping is strong enough to turn the system into a strongly anisotropic Fermi liquid. For unitary triplet superconductors SO(4) symmetry requires a first order transition between antiferromagnetic and superconducting phases. Analysis of thermal fluctuations shows that the transition between the normal and the superconducting phases is weakly first order, and the normal to antiferromagnet phase boundary has a tricritical point, with the transition being first order in the vicinity of the superconducting phase. We propose that this phase diagram explains coexistence regions between the superconducting and the antiferromagnetic phases, and between the antiferromagnetic and the normal phases observed in ͑TMTSF͒ 2 PF 6 . For nonunitary triplet superconductors the SO(4) symmetry predicts the existence of a mixed phase of antiferromagnetism and superconductivity. We discuss experimental tests of the SO(4) symmetry in neutron scattering and tunneling experiments.

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Superconductor to spin-density-wave transition in quasi-one-dimensional metals with Ising anisotropy

Cited by 8 publications

References 13 publications

Pairing Symmetry Competition in Organic Superconductors

Pairing Symmetry Competition in Organic Superconductors

Unbinding of Giant Vortices in States of Competing Order

Competition between triplet superconductivity and antiferromagnetism in quasi-one-dimensional electron systems

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