Optical conductivity from pair density waves

Dai, Zhehao; Lee, Patrick A.

doi:10.1103/physrevb.95.014506

Cited by 26 publications

(39 citation statements)

References 12 publications

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“…This statement is true, for instance, for the case of the FFLO state (compare it with Ref. 33, where the optical conductance of a nonhomogeneous superconductor was calculated in the gauge with A = 0 and V = 0 so that µ = 0).…”

Section: Strong Local Suppressionmentioning

confidence: 90%

“…1), is caused by both quantities, Q Ω and ∂ x µ so that neither of these quantities can be neglected (compare with a recent paper, Ref. 33, where only the quantity Q ∝ A was taken into account). The real part of the impedance Z ′ has a maximum at some frequency Ω m which decreases with increasing suppression of |Ψ|.…”

Section: Discussionmentioning

confidence: 99%

“…As the authors of Ref. 33 claim, their results can be applied to high-T c superconductors with a pair density wave or to superconductors in the FuldeFerrell-Larkin-Ovchinnikov (FFLO) state. 34,35 In both cases, the superconducting order parameter depends on coordinate, ∆(r), turning to zero at some points or lines.…”

Section: δ∆(T ) ∝ δ∆(0)mentioning

confidence: 99%

“…33, where linear response of a superconductor with a finite-momentum pairing was calculated. As the authors of Ref.…”

Section: δ∆(T ) ∝ δ∆(0)mentioning

confidence: 99%

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Alternating-current properties of short Josephson weak links

Moor

Volkov

2017

Phys. Rev. B

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We calculate the admittance of two types of Josephson weak links-the first is a one-dimensional superconducting wire with a local suppression of the order parameter, and the second is a short S-c-S structure, where S denotes a superconducting reservoir and c is a constriction. The systems of the first type are analyzed on the basis of time-dependent Ginzburg-Landau equations derived by Gor'kov and Eliashberg for gapless superconductors with paramagnetic impurities. It is shown that the impedance Z (Ω) has a maximum as a function of the frequency Ω, and the electric field E Ω is determined by two gauge-invariant quantities. One of them is the condensate momentum Q Ω and another is a potential µ related to charge imbalance. The structures of the second type are studied on the basis of microscopic equations for quasiclassical Green's functions in the Keldysh technique. For short S-c-S contacts (the Thouless energy E Th = D/L 2 ≫ ∆) we present a formula for admittance Y valid frequencies Ω and temperatures T less than the Thouless energy E Th (ħΩ,T ≪ E Th ) but arbitrary with respect to the energy gap ∆. It is shown that, at low temperatures, the absorption is absent [Re(Y ) = 0] if the frequency does not exceed the energy gap in the center of the constriction (Ω < ∆ cos ϕ 0 , where 2ϕ 0 is the phase difference between the S reservoirs). The absorption gradually increases with increasing the difference (Ω − ∆ cos ϕ 0 ) if 2ϕ 0 is less than the phase difference 2ϕ c corresponding to the critical Josephson current. In the interval 2ϕ c < 2ϕ 0 < π, the absorption has a maximum. This interval of the phase difference is achievable in phase-biased Josephson junctions. Close to T c the admittance has a maximum at low Ω which is described by an analytical formula.

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Section: Strong Local Suppressionmentioning

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Section: δ∆(T ) ∝ δ∆(0)mentioning

confidence: 99%

“…33, where linear response of a superconductor with a finite-momentum pairing was calculated. As the authors of Ref.…”

Section: δ∆(T ) ∝ δ∆(0)mentioning

confidence: 99%

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Alternating-current properties of short Josephson weak links

Moor

Volkov

2017

Phys. Rev. B

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“…According to the estimation in Ref. [50], σ 2D f ∼ e 2 h (a/λ) 2 E f /∆ f ∼ 1 10 e 2 /h, where a is size of the original unit cell, λ ∼ 8a is the wavelength of PDW. Absorption of the gapped fermion bands give various tiny peaks from 50meV to 200meV, which may be too small to identify.…”

Section: By Kubo Formulamentioning

confidence: 97%

Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave

2020

Self Cite

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We present a way to quantum-disorder a pair density wave, and propose it to be a candidate of the effective low-energy description of the pseudogap metal which may reveal itself in a sufficiently high magnetic field to suppress the d-wave pairing. The ground state we construct is a small-pocket Fermi liquid with a hidden bosonic Mott insulator in the density-wave-enlarged unit cell. At low energy, the charge density is mainly carried by charge 2e bosons, which develop a small insulating gap. We discuss a number of experimental consequences. Optical excitation across the boson gap can explain the onset of mid infra-red absorption reported long ago. The interplay between the electron and the small-gap boson results in a characteristic electron spectral function consistent with ARPES. We also postulate a secondary magnetization density wave along (1,1) direction which breaks timereversal symmetry, mirror symmetry, and C4 rotation. Our treatment of fluctuating pair density wave provides a non-perturbative mechanism of gap generation on part of the Fermi surface, which can be generalized to other fluctuating orders. I. INTRODUCTIONPseudogap occupies a large region in the phase diagram of underdoped cuprates, up to a high temperature wellseparated from the superconductivity. Theoretically, it is desirable to kill the superconductivity and probe the pseudogap phenomena at zero temperature, where different quantum phases are sharply distinct. This line of thinking brings us to the study of high-field ground state of underdoped cuprates. At around 12% hole doping, the magnetic field needed to destroy long-range superconductivity corresponds to an energy scale well below the anti-nodal gap [1][2][3]; it is reasonable to expect the 'pseudogap' to be present in the high-field ground state. Surprisingly, as the superconductivity is destroyed, quantum oscillation of a small Fermi pocket was detected [4][5][6], and charge density wave (CDW) with correlation length hundreds of lattice spacing was discovered [7][8][9][10][11]. Harrison and Sebastian postulate that the CDW momentum connects the tips of 'Fermi arcs' and makes the closed pocket seen in quantum oscillations (for a review, see [12]). Another hint of the high-field ground state comes from the recent STM discovery of a new period 8 short-range but static CDW below T c in the 'vortex halo' [13][14][15], pointing to its possible origin in a pair density wave (PDW) with the same period. This experiment suggests the relevance of PDW to the high field pseudo-gap ground state in addition to the CDW. The possible relevance of PDW to the Cuprates have been under discussion for some time [16][17][18][19][20][21] and recently reviewed by Agterberg et al. [22] The large antinodal gap in the normal state and the decrease of low-energy fermionic carrier density, which are the most prominent phenomena of the pseudogap region, was initially attributed to fluctuating d-wave superconductivity. However, careful ARPES study [23,24] reported a momentum-dependence different from a d-wave su...

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Magnetic field mediated conductance oscillation in graphene p–n junctions

Cheng

2018

J. Phys.: Condens. Matter

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The electronic transport of graphene p-n junctions under perpendicular magnetic field is investigated in theory. Under low magnetic field, the transport is determined by the resonant tunneling of Landau levels and conductance versus magnetic field shows a Shubnikov-de Haas oscillation. At higher magnetic field, the p-n junction subjected to the quasi-classical regime and the formation of snake states results in periodical backscattering and transmission as magnetic field varies. The conductance oscillation pattern is mediated both by magnetic field and the carrier concentration on bipolar regions. For medium magnetic field between above two regimes, the combined contributions of resonant tunneling, snake states oscillation and Aharanov-Bohm interference induce irregular oscillation of conductance. At very high magnetic field, the system is subjected to quantum Hall regime. Under disorder, the quantum tunneling at low magnetic field is slightly affected and the oscillation of snake states at higher magnetic field is suppressed. In the quantum Hall regime, the conductance is a constant as predicted by the mixture rule.

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Optical conductivity from pair density waves

Cited by 26 publications

References 12 publications

Alternating-current properties of short Josephson weak links

Alternating-current properties of short Josephson weak links

Modeling the pseudogap metallic state in cuprates: Quantum disordered pair density wave

Magnetic field mediated conductance oscillation in graphene p–n junctions

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