THE C-AXIS INTERACTION IN (TMTSF)<sub>2</sub>X

Grant, P. M.

doi:10.1051/jphyscol/1983152

Cited by 44 publications

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“…Here, we take t a = 250 meV, t b = 20 meV, as estimated from plasma frequency measurements 106 and band structure calculations. 107 In addition, we take = ͱ 2t a , corresponding to a quarter-filled band and a nesting vector Q = ͑2k f , ͒ Ϸ͑ /2,͒. We note that, in the Fermi liquid description, dimerization only affects very high energy quasiparticles, and we exclude it from Eq.…”

Section: So(4) Symmetry In a Strongly Anisotropic Fermi Liquidmentioning

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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Section: So(4) Symmetry In a Strongly Anisotropic Fermi Liquidmentioning

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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“…Also we take the quasiparticle energy in the normal state as in the standard model for Bechgaard salts [2] with v : v b : v c ~ 1 : 1/10 : 1/300 and v = v a , v b = and v c = ; for example, P. M. Grant [12] gives v c ~ 1 meV, t b ~ 26.2 meV and t a ~ 365 meV.…”

Section: Theoretical Modelmentioning

confidence: 99%

Upper critical field Hc2 in Bechgaard salts (TMTSF)2PF6

Folgueras

Maki

2008

PMC Phys B

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The symmetry of the superconductivity in Bechgaard salts is still unknown, though the triplet pairing has been established by H c2 and NMR for (TMTSF) 2 PF 6 . The large upper critical field at T = 0K (H c2 ~ 5 Tesla) both for and also indicates strongly the triplet pairing. Here we start with a low energy effective Hamiltonian and study the temperature dependence of the corresponding H c2 (T)'s.The present analysis suggests that one chiral f-wave superconductor should be the most likely candidate near the upper critical field.

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Section: )mentioning

confidence: 99%

“…It is indicated that U/t ≃ 5.0 (3.0) in (TMTTF) 2 X ((TMTSF) 2 X) since t in (TMTTF) 2 X ((TMTSF) 2 X) are about 0.2 (0.3) eV by the extended Huckel band calculations. 15,16,17,18) We consider the system in (TMTTF) 2 X ((TMTSF) 2 X) as strongly (nonstrongly) correlated.In the one-dimensional system, when the magnetic field (H) is applied to c-axis, the amplitudes of the charge density or the spin moment along the c-axis in the CDW or SDW state by coupling of electrons with same spins are suppressed due to Pauli paramagnetic limit field (H p ), 19,20,21) whereis the amplitude of the energy gap at H = 0 and µ B = eh/2m 0 c is the Bohr magneton. The energy band is splitted by Zeeman effect, so that the original wave vector at H = 0 becomes the not good nesting vector.…”

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confidence: 99%

Coexistent State of Charge Density Wave and Spin Density Wave in One-Dimensional Quarter Filled Band Systems under Magnetic Fields

Kishigi

Hasegawa

2000

J. Phys. Soc. Jpn.

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We theoretically study how the coexistent state of the charge density wave and the spin density wave in the one-dimensional quarter filled band is enhanced by magnetic fields. We found that when the correlation between electrons is strong the spin density wave state is suppressed under high magnetic fields, whereas the charge density wave state still remains. This will be observed in experiments such as the X-ray measurement.KEYWORDS: one-dimensional quarter filled band, charge density wave, spin density wave, quasi-one-dimensional organic conductors, Pauil paramagnetic limit, strongly correlated system §1. IntroductionIt is found that the system with the one-dimensional quarter filled band becomes the coexistent state of the charge density wave (CDW) and spin density wave (SDW) due to the interplay between the on-site Coulomb interaction (U ) and the inter-site Coulomb interaction (V ) by recent theoretical works.1, 2, 3, 4) The inter-site Coulomb interaction plays important role of the charge ordering, and the ground state is the coexistent state of 2k F -SDW and 4k F -CDW, 1) where k F is Fermi wave vector, k F = π/4a and a is the lattice constant. Furthermore, when the next nearest neighbor and the dimerization of the energy band are considered, it has been indicated that 2k F -SDW and 2k F -CDW coexist. 2, 3)Quasi-one dimensional organic conductors such as (TMTSF) 2 X and (TMTTF) 2 X (X=ClO 4 , PF 6 , AsF 6 , ReO 4 , Br, SCN, etc.) are known as the one-dimensional quarter filled band and exhibit many kinds of ground state, for example, spin-Peierls, SDW, superconductivity.5, 6) In (TMTSF) 2 PF 6 , the incommensurate SDW is occurred at T = 12 K, where the wave vector is (0.5, 0.24,-0.06) by NMR measurement. 7,8) Recently, from the X-ray measurement, Pouget and Ravy argue the coexistence of 2k F -SDW and 2k F -CDW, 9) which has been theoretically explained by Kobayashi et al.2, 3) mentioned above and Mazumdar et al. 4)On the other hand, in (TMTTF) 2 X, (X=Br and SCN), it is known that the ground state is the antiferromagnetic phase understood as Mott-Hubbard inslator phase due to the dimerization and the quarter filling. It is clear that the wave vector of the SDW is commesurate, (0.5, 0.25,0) from the measurements of 13 C-NMR 10) and 1 H-NMR. 11) From the angle depenence of satelite peak positions of 1 H-NMR, 11, 12) the alignment of the spin moment along the conductive axis (a-axis) becomes (↑, 0, ↓, 0), which corresponds to the recent calculational results.1, 13) In (TMTTF) 2 Br, 4k F -CDW accom- * E-mail: kishigi@sci.himeji-tech.ac.jp panied by 2k F -SDW is found in X-ray measurments. 9)This can be explained by Seo and Fukuyama 1) by using the extended Hubbard model.When the pressure is applied, the commensurate antiferromagnetic phase in (TMTTF) 2 Br at ambient pressure changes to the incommensurate SDW phase such as (TMTSF) 2 X.14) It is originated to the increasing of the hopping transfer integral, t. In the case of small t, as the exchange interaction is strongly influenced, the state becomes Mott ant...

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THE C-AXIS INTERACTION IN (TMTSF)₂X

Cited by 44 publications

References 0 publications

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

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

Upper critical field Hc2 in Bechgaard salts (TMTSF)2PF6

Coexistent State of Charge Density Wave and Spin Density Wave in One-Dimensional Quarter Filled Band Systems under Magnetic Fields

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THE C-AXIS INTERACTION IN (TMTSF)2X

Cited by 44 publications

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

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

Upper critical field Hc2 in Bechgaard salts (TMTSF)2PF6

Coexistent State of Charge Density Wave and Spin Density Wave in One-Dimensional Quarter Filled Band Systems under Magnetic Fields

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THE C-AXIS INTERACTION IN (TMTSF)₂X