Stability of singlet and triplet trions in carbon nanotubes

Rønnow, Troels F.; Pedersen, Thomas Garm; Cornean, Horia D.

doi:10.1016/j.physleta.2009.02.049

Cited by 31 publications

(45 citation statements)

References 20 publications

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“…The singlet-triplet exciton splitting has been reported as about 70=d 2 meV [18]. Assuming the trion binding energy of $60=d meV, which is close to the theoretical calculation [24], we show the energy separation Á ¼ 70=d 2 þ 60=d as the solid curve in Fig. 4.…”

Section: H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 85%

“…We attribute the extremely large energy separation to the electron-hole exchange interaction originating from the short-range Coulomb interaction in carbon nanotubes [27], which has not been considered in the previous trion calculations [24]. For conventional semiconductors where the trions have been observed, the exchange interaction is very weak and the singlet-triplet exciton splitting has not been considered.…”

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 93%

“…Recent theoretical calculations have shown that stable trions can exist in carbon nanotubes [24]. A trion binding energy is defined as the energy required for dissociating a trion into a free hole and an exciton.…”

Section: Prl 106 037404 (2011) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

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A new quasiparticle in carbon nanotubes

Hohenester¹,

Goldoni²

2011

Physics

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We report the first observation of trions (charged excitons), three-particle bound states consisting of one electron and two holes, in hole-doped carbon nanotubes at room temperature. When p-type dopants are added to carbon nanotube solutions, the photoluminescence and absorption peaks of the trions appear far below the E 11 bright exciton peak, regardless of the dopant species. The unexpectedly large energy separation between the bright excitons and the trions is attributed to the strong electron-hole exchange interaction in carbon nanotubes. DOI: 10.1103/PhysRevLett.106.037404 PACS numbers: 78.67.Ch, 71.35.Pq, 78.55.Àm Because of their unique mechanical, optical, and electronic properties, single-walled carbon nanotubes have been of great interest in broad research fields over the past decade [1]. One of the most prominent characteristics of carbon nanotubes is the strong correlation between carriers due to the quantum confinement that occurs in one-dimensional (1D) structures of about 1 nm diameter. Electron-electron repulsive and electron-hole attractive interactions play important roles in the electronic and optical properties [2], resulting in the formation of excitons with huge binding energies in semiconducting carbon nanotubes [3], and even in metallic carbon nanotubes [4].Despite the importance of carrier correlations in carbon nanotubes, many-particle bound states, such as excitonexciton or exciton-electron(hole) complexes, are not yet fully understood. Excitonic molecules (biexcitons) have not been observed in carbon nanotubes even under intense excitation conditions at low temperatures [5]. In addition, there has been no report of observation of exciton-carrier bound states (charged excitons or trions) in carbon nanotubes, although many optical measurements have been performed with carrier doping [6][7][8][9][10][11]. Meanwhile, the carrier-doping effect on nanotube field-effect transistors has been investigated for controlling and switching the optical properties of nanotube devices [12,13]. Additionally, a recent ab initio calculation has shown that the band gap can be tuned by dynamical screening of acoustic plasmons in hole-doped carbon nanotubes [14]. Thus, experimental studies of the optical properties of carrier-doped carbon nanotubes are quite important not only for understanding many-particle correlations in 1D structures, but also for future nanoscale device applications.In this Letter, we report the existence of a new excited state below the lowest (E 11 ) singlet exciton state in holedoped single-walled carbon nanotubes. In both photoluminescence (PL) and absorption spectroscopy, a new peak appears with hole doping at room temperature, regardless of the dopant species. This PL peak is completely different from the luminescence of optically forbidden excitons reported recently [15][16][17][18][19]. Moreover, the energy separation between the new state and the E 11 bright exciton state shows clear ''family patterns,'' similar to the exciton binding energy in carbon nanotubes. These res...

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Section: H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 85%

Section: H Y S I C a L R E V I E W L E T T E R Smentioning

confidence: 93%

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A new quasiparticle in carbon nanotubes

Hohenester¹,

Goldoni²

2011

Physics

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“…At first sight, the explanation that the quasi-1D structure of bP is responsible for the huge trion binding energies appear plausible. Indeed, in other 1D systems like carbon nanotubes and graphene nanoribbons trion * thorsten.deilmann@wwu.de binding energies of more than 100 meV have been measured and predicted [16][17][18][19][20]. However, the theoretical studies have shown that large trion binding energies come along with large exciton binding as both result from the enhanced Coulomb interaction in these low dimensional materials [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Unraveling the not-so-large trion binding energy in monolayer black phosphorus

Deilmann

Thygesen

2018

2D Mater.

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“…Moreover, both materials have a large number of potential applications in various areas of electronics and optoelectronics [3][4][5][6]. The reduced dimensionality and screening of narrow GNRs and small radius CNTs lead to excitons with binding energy on the order of a few hundred meV [7][8][9][10]. Therefore, excitons have a strong impact on the optical response of both CNTs [9] and GNRs [11,12] and must be accounted for in models of the optical response.…”

Section: Introductionmentioning

confidence: 99%

Magnetoexcitons and Faraday rotation in single-walled carbon nanotubes and graphene nanoribbons

Have

Pedersen

2018

Phys. Rev. B

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The magneto-optical response of single-walled carbon nanotubes (CNTs) and graphene nanoribbons (GNRs) is studied theoretically, including excitonic effects. Both diagonal and nondiagonal response functions are obtained and employed to compute Faraday rotation spectra. For single-walled CNTs in a parallel field, the results show field-dependent splitting of the exciton absorption peaks caused by brightening a dark exciton state. Similarly, for GNRs in a perpendicular magnetic field, we observe a field-dependent shift of the exciton peaks and the emergence of an absorption peak above the energy gap. Results show that excitonic effects play a significant role in the optical response of both materials, particularly for the off-diagonal tensor elements.

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Stability of singlet and triplet trions in carbon nanotubes

Cited by 31 publications

References 20 publications

A new quasiparticle in carbon nanotubes

A new quasiparticle in carbon nanotubes

Unraveling the not-so-large trion binding energy in monolayer black phosphorus

Magnetoexcitons and Faraday rotation in single-walled carbon nanotubes and graphene nanoribbons

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