Disorder effects at a nematic quantum critical point in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:math>-wave cuprate superconductors

Wang, Jing; Liu, Guozhu; Kleinert, H.

doi:10.1103/physrevb.83.214503

Cited by 35 publications

(97 citation statements)

References 44 publications

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“…The polarization function ( ,q) has already been calculated previously 11,15 and is known to have the form 22…”

Section: Competing Orders and Zero-temperature Superfluid Densitymentioning

confidence: 99%

“…Although a zero-temperature nematic QCP is expected to exist somewhere in the SC dome, 3,[9][10][11][12][13][14][15] shown schematically in Fig. 1, its precise position, and even its very existence, has not been unambiguously confirmed by experiments so far.…”

Section: Introductionmentioning

confidence: 98%

“…[3][4][5][6][7][8] On the basis of these experiments, a zero-temperature nematic quantum critical point (QCP) is supposed to exist at certain doping concentration x c in the superconducting (SC) dome. 3,4,[9][10][11][12][13][14][15] Generally, the nematic order has two impacts on the SC state. First, it competes with the SC order.…”

Section: Introductionmentioning

confidence: 99%

“…The latter coupling is singular at the nematic QCP x c , and has stimulated considerable theoretical efforts. [9][10][11][12][13][14][15] A recent renormalization group analysis 11 showed that it leads to a novel fixed point at which the ratio between gap velocity v and Fermi velocity v F of nodal QPs flows to zero, v /v F → 0.…”

Section: Introductionmentioning

confidence: 99%

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Suppression of superconductivity at a nematic critical point in underdoped cuprates

Liu¹,

Wang²,

Wang³

2012

Phys. Rev. B

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A nematic quantum critical point is anticipated to exist in the superconducting dome of some hightemperature superconductors. The nematic order competes with the superconducting order and hence reduces the superconducting condensate at T = 0. Moreover, the critical fluctuations of nematic order can excite more nodal quasiparticles out of the condensate. We address these two effects within an effective field theory and show that superfluid density ρ s (T ) and superconducting temperature T c are both suppressed strongly by the critical fluctuations. The strong suppression of superconductivity provides a possible way to determine the nematic quantum critical point.

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“…The polarization function ( ,q) has already been calculated previously 11,15 and is known to have the form 22…”

Section: Competing Orders and Zero-temperature Superfluid Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Suppression of superconductivity at a nematic critical point in underdoped cuprates

Liu¹,

Wang²,

Wang³

2012

Phys. Rev. B

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“…We shall analyze fermion velocity renormalization by performing a renormalization group (RG) calculation [59][60][61][62]. The fermion velocity remains a constant at zero chemical potential after including the gauge interaction corrections since the Lorentz invariance is preserved.…”

Section: Introductionmentioning

confidence: 99%

Unconventional behavior of Dirac fermions in three-dimensional gauge theory

Wang

Liu

2012

Phys. Rev. D

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We study unconventional behavior of massless Dirac fermions due to interaction with a U(1) gauge field in three time-space dimensions. At zero chemical potential, the longitudinal and transverse components of gauge interaction are both long ranged. There is no fermion velocity renormalization since the system respects Lorentz invariance. At finite chemical potential, the Lorentz invariance is explicitly broken by the finite Fermi surface. The longitudinal gauge interaction is statically screened and becomes unimportant, whereas the transverse gauge interaction remains long ranged and leads to singular renormalization of fermion velocity. The anomalous dimension of fermion velocity is calculated by means of the renormalization group method. We then examine the influence of singular velocity renormalization on several physical quantities, and show that they exhibit different behavior at zero and finite chemical potential.

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Topological superconducting transition driven by time-reversal-symmetry breaking

Wang

2020

Nuclear Physics B

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Three-dimensional line-nodal superconductors exhibit nontrivial topology, which is protected by the time-reversal symmetry. Here we investigate four types of short-range interaction between the gapless line-nodal fermionic quasiparticles by carrying renormalization group analysis. We find that such interactions can induce the dynamical breaking of time-reversal symmetry, which alters the topology and might lead to six possible distinct superconducting states, distinguished by the group representations. After computing the susceptibilities for all the possible phase-transition instabilities, we establish that the superconducting pairing characterized by idxz-wave gap symmetry is the leading instability in noncentrosymmetric superconductors. Appropriate extension of this approach is promising to pick out the most favorable superconducting pairing during similar topology-changing transition in the polar phase of 3 He.

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Disorder effects at a nematic quantum critical point ind-wave cuprate superconductors

Cited by 35 publications

References 44 publications

Suppression of superconductivity at a nematic critical point in underdoped cuprates

Suppression of superconductivity at a nematic critical point in underdoped cuprates

Unconventional behavior of Dirac fermions in three-dimensional gauge theory

Topological superconducting transition driven by time-reversal-symmetry breaking

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