Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

Wu, Chen-Huan

doi:10.1016/j.physleta.2019.125876

Cited by 8 publications

(10 citation statements)

References 89 publications

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“…where the θ is the angle between the initial impurity wave vector p and the scatterig wave vector (q − k). Appearly such form factor is a little different to the one which is widely seen in the chiral solid system [24,53]. Through this form factor.…”

Section: T -Matrix and The Self-energymentioning

confidence: 79%

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

2020

Physica B: Condensed Matter

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We investigate the properties of attractive polaron formed by a single impurity dressed with the particle-hole excitations in a three-dimensional (3D) doped (extrinsic) parabolic system. Base on the single particle-hole variational ansatz, we study the pair propagator, self-energy, and the non-self-consistent medium T -matrix. The non-self-consistent T -matrix discussed in this paper contains only the open channel since we don't consider the shift of center-of-mass due to the resonance (e.g., induced by the magnetic field). Besides, since we focus on the low-density regime of the majority particles, the effective Fermi wave vector is small. The scattering form factor is discussed in detail for the chiral case and compared to the non-chiral one. The effects of the bare coupling strength, which is momentum-cutoff-dependent, are also discussed. We found that the pair propagator and the related quantities, like the self-energy, spectral function, induced effective mass, and residue (spectral weight), all exhibit different features in the low-momentum regime and the high one, which also related to the polaronic instabilities as well as the many-body fluctuation and nonadiabatic/adiabatic dynamics. The pair-propagator and the energy relaxation time at finite temperature are also explored.

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Section: T -Matrix and The Self-energymentioning

confidence: 79%

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

2020

Physica B: Condensed Matter

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“…This is the case we discussed in Sec.. Note that a finite |V 0 | must leads to nonzero anomalous component g 12 loc , but a nonzero g 12 loc does not necessarily requires a finite |V 0 |. In third case, both the local gauge symetry and global U(1) symmetry are preserved, and the Q term cannot breaks any symmetries.…”

Section: Effect Of Coulomb Bosonmentioning

confidence: 82%

“…where V 0 = −∆ −1 b < 0 is the zero mode attractive Coulomb interaction. Here we consider the long-range Coulomb interaction since at half-filling the static screening induced by particle-hole excitations is weak [12]. iφ(τ ) = |iφ 0 |e iϕ(τ ) , and the action about the spatially local phase ψ(τ ) in mean field approximation reads [11,29]…”

Section: Effect Of Coulomb Bosonmentioning

confidence: 99%

SYK behaviors generated by Hubbard-type four-fermion on-site random interactions and the related phase transitions

Wu¹

2021

Preprint

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In this paper, we discuss the possible emergence of SYK non-Fermi liquid in the incoherent critical metal phase generated by the Hubbard-type four-fermion on-site random interactions which follow the Gaussian distribution. The SYK behaviors here are similar to the q = 4 SYK model except an additional factor N. The phase transitions to the Fermi liquid regime and high temperature DMFT insulting regime are possible through the turning of related parameters, including the temperature, coherence scale, SYK coupling, and Coulomb boson field. Taking the nonlocal Coulomb interaction (with pseudospin interaction) as an example, we also discuss the existence of stable gapless bosonic excitations in SYK compressible non-Fermi liquid phase away from the quantum critical point (and thus prevent the condensation), which is due to the preserved SU(2) local gauge symmetry in incoherent critical metal phase with strong SYK coupling and at intermedia temperature. Note that here the compressibility plays the role of effective coupling in the low-energy SYK bosonic action, and is a measurable quantity in non-fermi liquid phase. We found that in this special case, the global U(1) and U(1)⊗U(1) symmetries are also preserved. Our results are useful in detecting the effect of Hubbard parameter to the SYK behaviors in non-Fermi liquid incoherent metal phase and how it enters the holographic picture at intermiedia and high temperature regimes, as well as the relation between the phase transitions with the symmetry breaking.

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“…In terms of the sum over scattering states, the imaginary part of Green's function can also be expressed as ImG(ω+i0) = −π α=v,c |α α|δ(ω−ε pα ), where v, c denote the quantum states in valence band and conduction band, respectively. Through this relation, the conductivity can also be expressed by the response of current to the vector potential: [90,106,107]…”

Section: Semiclassical Dynamicsmentioning

confidence: 99%

Electronic properties and polaronic dynamics of semi-Dirac system within Ladder approximation

2020

Phys. Scr.

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We investigate the electronic properties of the semi-Dirac system and its polaronic dynamics when coupled with a fermi bath with quadratic dispersion. The electronic anisotropic transport properties and the semiclassical dynamics of the semi-Dirac system are studied, including the density-of-states, conductivity, transport relaxation rate, specific heat, electrical current denity, and free energy. The attractive polaron formed as the semi-Dirac impurity dressed with the particle-hole excitations in a two-dimensional system are studied both analytically and numerically. The pair propagator, self-energy, spectral function are being detailly calculated and discussed. The method of medium T -matrix approximation (non-self-consistent), which equivalent to the partially dressed interaction vertex by summing over all ladder diagrams, is applied, and compared with some other methods (for many-body problem), like the leading-order 1/N expansion (GW approximation), Hartree-Fock theory, and the Nozieres-Schmitt-Rink theory. Since we foucs on the weak-coupling region, the mean-field approximation is also applicable. The polaron properties is related to the anisotropic effective masses of the semi-Dirac system. That's in contrast to the polarons formed in the surface of normal Dirac systems which has an isotropic dispersion, since the anisotropic dispersion of the semi-Dirac systems results in anisotropic effective mass and anisotropic charge carrier transport. Besides, the symmetry between electron and hole is also broken since the effective masses of the electron and hole are different, which are affected by the polaronic effect when the semi-Dirac material is deposited on a polar substrate, like hBN. The self-localization, short-range potential, and experimental methods as well as the possible formation of the bose polaron on the surface of semi-Dirac system are also discussed in the end. Our results are useful also for the investigation of two/three-dimensional bosonic polaron as well as the polarons in other solid state systems, like the magnetic matter or the topological systems. *

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Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture

Cited by 8 publications

References 89 publications

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

Attractive polaron formed in doped nonchiral/chiral parabolic system within ladder approximation

SYK behaviors generated by Hubbard-type four-fermion on-site random interactions and the related phase transitions

Electronic properties and polaronic dynamics of semi-Dirac system within Ladder approximation

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