Static electric field in one-dimensional insulators without boundaries

Chen, Kuang-Ting; Lee, Patrick A.

doi:10.1103/physrevb.84.113111

Cited by 22 publications

(33 citation statements)

References 4 publications

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“…This discrepancy is related with an interplay between the bulk and surface physics. To explain this, we focus on degrees of freedom in the choices of the crystal terminations and those of the unit cell [15,31]. Let us consider 1D systems with inversion symmetry, such as the SSH model in Sec.…”

Section: Bulk Physics Versus Surface Physicsmentioning

confidence: 99%

Anomalous dielectric response in insulators with the π Zak phase

Aihara

Hirayama

Murakami

2020

Phys. Rev. Research

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In various topological phases, nontrivial states appear at the boundaries of the system. In this paper, we investigate anomalous dielectric response caused by such states caused by the π Zak phase. First, by using the one-dimensional Su-Schrieffer-Heeger model, we show that, when the system is insulating and the Zak phase is π , the polarization suddenly rises to a large value close to e/2, by application of an external electric field. The π Zak phase indicates the existence of half-filled edge states, and we attribute this phenomenon to charge transfer between the edge states at the two ends of the system. We extend this idea to two-and three-dimensional insulators with the π Zak phase over the Brillouin zone and find similar anomalous dielectric response. We also show that diamond and silicon slabs with (111) surfaces have the π Zak phase by ab initio calculations, and show that this anomalous response survives even surface reconstruction involving an odd number of original surface unit cells. Another material example with an anomalous dielectric response is polytetrafluoroethylene (PTFE), showing plateaus of polarization at ±e by ab initio calculation, in agreement with our theory.

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Section: Bulk Physics Versus Surface Physicsmentioning

confidence: 99%

Anomalous dielectric response in insulators with the π Zak phase

Aihara

Hirayama

Murakami

2020

Phys. Rev. Research

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“…As an analogy of the Berry phase 5 , the Zak phase 28 has been used to classify band topology for studying their edge states 19,29 . We now evaluate the Zak phase using the nontrivial solutions of Eq.…”

Section: B Calculation Of Zak Phasementioning

confidence: 99%

Topological edge plasmon modes between diatomic chains of plasmonic nanoparticles

Ling¹,

Xiao²,

Chan³

et al. 2015

Opt. Express

131

119

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We study the topological edge plasmon modes between two "diatomic" chains of identical plasmonic nanoparticles. Zak phase for longitudinal plasmon modes in each chain is calculated analytically by solutions of macroscopic Maxwell's equations for particles in quasi-static dipole approximation. This approximation provides a direct analogy with the Su-Schrieffer-Heeger model such that the eigenvalue is mapped to the frequency dependent inverse-polarizability of the nanoparticles. The edge state frequency is found to be the same as the single-particle resonance frequency, which is insensitive to the separation distances within a unit cell. Finally, full electrodynamic simulations with realistic parameters suggest that the edge plasmon mode can be realized through near-field optical spectroscopy.

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“…However, an attempt to calculate z M from the definition (15) fails due to the difficulties that were resolved only recently (see Ref. 59 and references therein). It is the unboundedness of the coordinate operator r α with = ,…”

Section: Magnetization As the Response On The Gap And Validity Of Thementioning

confidence: 99%

Spin Nernst effect and intrinsic magnetization in two-dimensional Dirac materials

Gusynin

Sharapov

Varlamov

2015

Low Temperature Physics

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We begin with a brief description of the role of the Nernst-Ettingshausen effect in the studies of the hightemperature superconductors and Dirac materials such as graphene. The theoretical analysis of the NE effect is involved because the standard Kubo formalism has to be modified by the presence of magnetization currents in order to satisfy the third law of thermodynamics. A new generation of the low-buckled Dirac materials is expected to have a strong spin Nernst effect that represents the spintronics analog of the NE effect. These Dirac materials can be considered as made of two independent electron subsystems of the two-component gapped Dirac fermions. For each subsystem the gap breaks a time-reversal symmetry and thus plays a role of an effective magnetic field. We explicitly demonstrate how the correct thermoelectric coefficient emerges both by the explicit calculation of the magnetization and by a formal cancelation in the modified Kubo formula. We conclude by showing that the nontrivial dependences of the spin Nersnt signal on the carrier concentration and electric field applied are expected in silicene and other low-buckled Dirac materials.

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Static electric field in one-dimensional insulators without boundaries

Cited by 22 publications

References 4 publications

Anomalous dielectric response in insulators with the π Zak phase

Anomalous dielectric response in insulators with the π Zak phase

Topological edge plasmon modes between diatomic chains of plasmonic nanoparticles

Spin Nernst effect and intrinsic magnetization in two-dimensional Dirac materials

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