Erratum: Electrical control of the Kondo effect in a helical edge liquid [Phys. Rev. B 
<b>86</b>
, 161103(R) (2012)]

Eriksson, Erik; Ström, Anders; Sharma, Girish; Johannesson, Henrik

doi:10.1103/physrevb.87.079902

Cited by 18 publications

(42 citation statements)

References 2 publications

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“…This has not been considered previously in works on HESs coupled to fixed spins. [61][62][63][64][65] On the level of transition rates between the HESs, 61,62,64 such a difference is less important, since the rates are proportional to the HF matrix elements squared. However, this sign might play a role for more delicate phenomena such as Kondo physics 63,65 or for HESs circulating one or more fixed spins.…”

Section: Discussion Summary and Outlookmentioning

confidence: 99%

“…The unusual terms coupling I x,n (I y,n ) to the intra-HES transitions for propagation along the y axis (x axis) were not included in previous studies. [61][62][63][64][65] These terms might complicate the nature of nuclear spin polarization and its associated Overhauser effective magnetic field 101 in a nontrivial way. For instance, this could affect the spin-orbit interaction induced backscattering processes between the HESs in the presence of a finite Overhauser field discussed in Ref.…”

Section: Discussion Summary and Outlookmentioning

confidence: 99%

“…61 However, combining localized spins and Rashba spin-orbit coupling in the 2D TI can produce a conductance change. [63][64][65] In the previous works, [61][62][63][64][65] the interaction between the fixed spins embedded into the 2D TI and the HESs were modeled phenomenologically. In contrast, here we pay special attention to the detailed forms of the HF interactions within a 2D TI.…”

Section: Fig 1 (Color Online)mentioning

confidence: 99%

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Hyperfine interactions in two-dimensional HgTe topological insulators

Lunde

Platero

2013

Phys. Rev. B

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We study the hyperfine interaction between the nuclear spins and the electrons in a HgTe quantum well, which is the prime experimentally realized example of a two-dimensional topological insulator. The hyperfine interaction is a naturally present, internal source of broken time-reversal symmetry from the point of view of the electrons. The HgTe quantum well is described by the so-called Bernevig-Hughes-Zhang (BHZ) model. The basis states of the BHZ model are combinations of both S-and P -like symmetry states, which means that three kinds of hyperfine interactions play a role: (i) the Fermi contact interaction, (ii) the dipole-dipole-like coupling, and (iii) the electron-orbital to nuclear-spin coupling. We provide benchmark results for the forms and magnitudes of these hyperfine interactions within the BHZ model, which give a good starting point for evaluating hyperfine interactions in any HgTe nanostructure. We apply our results to the helical edge states of a HgTe two-dimensional topological insulator and show how their total hyperfine interaction becomes anisotropic and dependent on the orientation of the sample edge within the plane. Moreover, for the helical edge states, the hyperfine interaction due to the P -like states can dominate over the S-like contribution in certain circumstances.

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Section: Discussion Summary and Outlookmentioning

confidence: 99%

Section: Discussion Summary and Outlookmentioning

confidence: 99%

Section: Fig 1 (Color Online)mentioning

confidence: 99%

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Hyperfine interactions in two-dimensional HgTe topological insulators

Lunde

Platero

2013

Phys. Rev. B

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“…32 In the presence of Rashba spin-orbit interaction, a parity-breaking Dzyaloshinsky-Moriya term could be induced, resulting in a possible change of the Kondo temperature. [34][35][36] Since there are strong spin-orbit couplings and unconventional gaps in the TIs, it becomes interesting to investigate the differences between the Kondo effects in conventional insulators and TIs.…”

Section: Introductionmentioning

confidence: 99%

“…[34][35][36] For instance, in a gapped system, the Kondo effect breaks down when the energy gap exceeds a critical value. 32 In the presence of Rashba spin-orbit interaction, a parity-breaking Dzyaloshinsky-Moriya term could be induced, resulting in a possible change of the Kondo temperature.…”

Section: Introductionmentioning

confidence: 99%

Quantum impurity in the bulk of a topological insulator

Lü

Shen

et al. 2013

Phys. Rev. B

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We investigate physical properties of an Anderson impurity embedded in the bulk of a topological insulator. The slave-boson mean-field approximation is used to account for the strong electron correlation at the impurity. Different from the results of a quantum impurity on the surface of a topological insulator, we find for the band-inverted case that a Kondo resonant peak and in-gap bound states can be produced simultaneously. However, only one of them appears for the normal case. It is shown that the mixed-valence regime is much broader in the band-inverted case, while it shrinks to a very narrow regime in the normal case. Furthermore, a self-screening of the Kondo effect may appear when the interaction between the bound-state spin and impurity spin is taken into account.

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Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator

Adak

Mukhopadhyay

et al. 2022

Phys. Rev. B

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Erratum: Electrical control of the Kondo effect in a helical edge liquid [Phys. Rev. B 86 , 161103(R) (2012)]

Cited by 18 publications

References 2 publications

Hyperfine interactions in two-dimensional HgTe topological insulators

Hyperfine interactions in two-dimensional HgTe topological insulators

Quantum impurity in the bulk of a topological insulator

Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator

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