Nonlinear optical response of the 
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 model due to the nontrivial topology of the band dispersion

Chen, Lei; Zuber, Jack; Ma, Zhongshui; Zhang, Chaofeng

doi:10.1103/physrevb.100.035440

Cited by 33 publications

(14 citation statements)

References 103 publications

(140 reference statements)

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“…The dice lattice can also be thought of as a limiting case of α-T 3 lattice 36,43 with α = 1. In recent years, there are several studies on diverse properties of the dice lattice such as orbital susceptibility 43 , Klein tunneing 44,45 , zeromomentum optical conductivity [46][47][48][49][50][51] , magnetotransport properties [52][53][54]56 , magnetoplasmons 55 , wave packet dynamics 57 , electron states in the field of a charged impurity 58,59 , role of Berry phase in photoinduced gap, topological phase transition under Floquet driving 60,61 , effect of electromagnetic radiation on dice lattice 62,63 , electronic states of dice lattice ribbons 64,65 , RKKY interaction 66 and chaotic dynamics 67 . The tight-binding Hamiltonian of dice lattice in the basis of sublattices A, B and C is given as…”

Section: Dice Latticementioning

confidence: 99%

Unconventional phases in a Haldane model of dice lattice

Dey,

Kapri,

Pal

et al. 2020

Preprint

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We propose a Haldane-like model of dice lattice analogous to graphene and explore its topological properties within the tight-binding formalism. The topological phase boundary of the system is identical to that of Haldane model of graphene but the phase diagram is richer than the latter due to existence of a distorted flat band. The system supports phases which have a 'gapped-out' valence (conduction) band and an indirect overlap between the conduction (valence) band and the distorted flat band. The overlap of bands imparts metalic character to the system. These phases may be further divided into topologically trivial or non-trivial ones depending on the Chern number of the 'gapped-out' band. The semimetalic phases exist as distinct points that are well separated from each other in the phase diagram and exhibit spin-1 Dirac-Weyl dispersion at low energies. The Chern numbers of the bands in the Chern-insulating phases are 0 and ±2. This qualifies the system to be candidate for Quantum Anomalous Hall effect with two chiral channels per edge. Counterpropagating edge states emanate from the flat band in certain topologically trivial phases. The system displays beating pattern in SdH oscillations for unequal magnitude of mass terms in the two valleys. We show that the chemical potential and ratio of topological parameters of the system viz. Semenoff mass and next neighbour hopping amplitude may be experimentally determined from the number of oscillations between the beating nodes and the beat frequency respectively.

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Section: Dice Latticementioning

confidence: 99%

Unconventional phases in a Haldane model of dice lattice

Dey,

Kapri,

Pal

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…Someone even designed a chaos-based Berry phase detector in the α − T 3 lattice [15]. There are also many unusual electronic properties to be discussed such as the minimal conductivity [16], super-Klein tunneling [17][18][19][20], magneto-optical conduc-tivity and the Hofstadter butterfly [21], nonlinear optical response [22], thermoelectric performance in a nanoribbon made of α−T 3 lattice [23], Floquet topological phase transition [24], and electronic and optical properties in the irradiated α − T 3 lattice [25,26]. In addition, the flat band-induced diverging dc conductivity [27], nontrivial topology [28][29][30][31][31][32][33], and ferromagnetism were studied [34,35].…”

Section: Introductionmentioning

confidence: 99%

Andreev reflection and Josephson effect in the $α$-T3 lattice

Zhou

2021

Preprint

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We investigate the Andreev reflection and Josephson effect in the α−T3 lattice which falls between graphene (α = 0) and the dice lattice (α = 1) by adjusting the parameter α. In the regime of specular Andreev reflection, when the incident energy of electron is small, the probability of Andreev reflection decreases as the parameter α increases. On the contrary, when the incident energy is large, the probability of Andreev reflection increases as the parameter α increases. Interestingly, when the incident energy approaches the superconducting energy-gap function, the Andreev reflection with approximate all-angle perfect transmission happens in the case of α = 1. In the regime of Andreev retro-reflection, when the parameter α increases, the probability of Andreev reflection increases regardless of the value of incident energy. When the incident energy approaches the superconducting energy-gap function, the Andreev reflection with approximate all-angle perfect transmission happens regardless of the value of α. We also give the differential conductance in these two regimes and find that the differential conductance increases as the parameter α increases generally. In addition, the α − T3 lattice-based Josephson current increases as α increases. When the length of junction approaches zero, the critical Josephson currents in the different values of α approach the same value.

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“…The gapless lowenergy band structure of this lattice consists of Dirac cones and an additional flat band. This kind of band structure has important consequences, such as magneto-optical conductivity, Hofstadter butterfly effect and zero-momentum optical conductivity [37][38][39] . Furthermore, an attractive feature of dice lattice is that it displays perfect transmission independent of the incident angle through a barrier, which is known as super-Klein tunneling (SKT) 40,41 .…”

Section: Introductionmentioning

confidence: 99%

Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control

Majari

2021

Preprint

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The controlling of the transmission in the pseudospin-one Dirac-Weyl systems offers a rich tool to study new concepts of massive Dirac electron tunneling by means of a time-dependent potential. The time-periodic potential is one of the experimental techniques to have more control over the tunneling effect. In this paper, we study the transmission coefficient for different sidebands to obtain total transmission. We show how the super Klein tunneling under special condition is independent of the incidence angle, oscillation amplitude, frequency, and barrier width. We consider a band gap opening with different locations of the flat band and modulate the resonances by tuning free parameters in our system.

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Nonlinear optical response of the α−T3 model due to the nontrivial topology of the band dispersion

Cited by 33 publications

References 103 publications

Unconventional phases in a Haldane model of dice lattice

Unconventional phases in a Haldane model of dice lattice

Andreev reflection and Josephson effect in the $α$-T3 lattice

Pseudospin-one particles in the time-periodic dice lattice: A new approach to transport control

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