Superconductivity and charge-density waves in a quasi-one-dimensional spin-gap system

Carr, Sam T.; Tsvelik, A. M.

doi:10.1103/physrevb.65.195121

Cited by 47 publications

(63 citation statements)

References 16 publications

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“…We first review the uniform configuration of the Ising variable (and also the paramagnetic phase of the Ising variable), in which the SC operator will develop the same expectation value for all the LE systems 38,49 . For the staggered (period 2) Ising configuration, there are two phases, depending on the sign of δJ , a uniform SC state and a PDW state.…”

Section: A Uniform Sc and Period 2 Pdw Sc Phasesmentioning

confidence: 99%

“…[31][32][33] We will follow a dimensional crossover approach that has been used with considerable success by several authors. [34][35][36][37][38][39][40][41] We will consider a generalization of the model used by Granath and coworkers 36 in which there are two types of 1D subsystems: a set of doped two-leg ladders in the Luther-Emery (LE) liquid regime (which has a single gapless charge sector and a gapped spin sector) and a set of 1D electronic Luttinger liquids (eLL) with both a gapless charge sector and a gapless spin sector. Although the interactions between LE liquids and between LE and eLL liquids will be treated by the interchain mean field theory (MFT) (see, e.g.…”

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confidence: 99%

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Quasi-one-dimensional pair density wave superconducting state

2015

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We provide a quasi-one-dimensional model which can support a pair-density-wave (PDW) state, in which the superconducting (SC) order parameter modulates periodically in space, with gapless Bogoliubov quasiparticle excitations. The model consists of an array of strongly-interacting one-dimensional systems, where the one-dimensional systems are coupled to each other by local interactions and tunneling of the electrons and Cooper pairs between them. Within the interchain mean-field theory, we find several SC states from the model, including a conventional uniform SC state, PDW SC state, and a coexisting phase of the uniform SC and PDW states. In this quasi-1D regime we can treat the strong correlation physics essentially exactly using bosonization methods and the crossover to the 2D system by means of interchain mean field theory. The resulting critical temperatures of the SC phases generically exhibit a power-law scaling with the coupling constants of the array, instead of the essential singularity found in weak-coupling BCS-type theories. Electronic excitations with an open Fermi surface, which emerge from the electronic Luttinger liquid systems below their crossover temperature to the Fermi liquid, are then coupled to the SC order parameters via the proximity effect. From the Fermi surface thus coupled to the SC order parameters, we calculate the quasiparticle spectrum in detail. We show that the quasiparticle spectrum can be fully gapped or nodal in the uniform SC phase and also in the coexisting phase of the uniform SC and PDW parameters. In the pure PDW state, the excitation spectrum has a reconstructed Fermi surface in the form of Fermi pockets of Bogoliubov quasiparticles.

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Section: A Uniform Sc and Period 2 Pdw Sc Phasesmentioning

confidence: 99%

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confidence: 99%

Quasi-one-dimensional pair density wave superconducting state

2015

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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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“…(11) given above using the RPA method in turn. Beginning with the coupling t ⊥ , this method involves computing the dynamical spin susceptibility χ of the coupled system in the disordered phase as (17) in terms of the frequency ω, the longitudinal and transverse wave-vectors k and k ⊥ respectively. χ 1D is the dynamical spin susceptibility of a single TFIM system, to be calculated assuming incipient order along the τ x direction in pseudospin space…”

Section: Coupled Tfim Systems: Quantum Criticality Dimensional mentioning

confidence: 99%

“…Another interest is to investigate the conditions under which short-coherence length superconductivity can arise by hole-doping a charge-and antiferromagnetically ordered Mott insulator. Again, this issue has been studied in sufficient detail only in the weak coupling limit 17 . Motivated by the above discussion, we have recently studied a problem of coupled electronic chains 12 , where each chain is described by an extended Hubbard model with a hopping term (of strength, t) and nearest-(V 1 ) and next-nearest neighbor (nnn) (V 2 ) Coulomb interactions in addition to the local, Hubbard (U ) interaction 12 .…”

Section: Introductionmentioning

confidence: 99%

From frustrated insulators to correlated anisotropic metals: charge-ordering and quantum criticality in coupled chain systems

Lal¹,

Laad²

2008

J. Phys.: Condens. Matter

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A recent study revealed the dynamics of the charge sector of a one-dimensional quarter-filled electronic system with extended Hubbard interactions to be that of an effective pseudospin transversefield Ising model (TFIM) in the strong coupling limit. With the twin motivations of studying the co-existing charge and spin order found in strongly correlated chain systems and the effects of inter-chain couplings, we investigate the phase diagram of coupled effective (TFIM) systems. A bosonisation and RG analysis for a two-leg TFIM ladder yields a rich phase diagram showing Wigner/Peierls charge order and Neel/dimer spin order. In a broad parameter regime, the orbital antiferromagnetic phase is found to be stable. An intermediate gapless phase of finite width is found to lie in between two charge-ordered gapped phases. Kosterlitz-Thouless transitions are found to lead from the gapless phase to either of the charge-ordered phases. A detailed analysis is also carried out for the dimensional crossover physics when many such pseudospin systems are coupled to one another. Importantly, the analysis reveals the key role of critical quantum fluctuations in driving the strong dispersion in the transverse directions, as well as a T = 0 deconfinement transition. Our work is potentially relevant for a unified description of a class of strongly correlated, quarter-filled chain and ladder systems.

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Superconductivity and charge-density waves in a quasi-one-dimensional spin-gap system

Cited by 47 publications

References 16 publications

Quasi-one-dimensional pair density wave superconducting state

Quasi-one-dimensional pair density wave superconducting state

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

From frustrated insulators to correlated anisotropic metals: charge-ordering and quantum criticality in coupled chain systems

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