Quantum interference in HgTe structures

Gornyi, I. V.; Kachorovskii, V. Yu.; Mirlin, A. D.; Ostrovsky, P. M.

doi:10.1002/pssb.201350309

Cited by 6 publications

(10 citation statements)

References 41 publications

(117 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These structures are known as Dirac materials [1][2][3][4][5][6][7][8][9] and give rise to intriguing physical phenomena of interest both experimental and theoretical [10][11][12][13][14][15]. Quite interesting phenomena emerge from the nature of wave functions of the confined electrons, described by massless or massive Dirac equation of relativistic quantum mechanics [5,9,[16][17][18][19][20][21][22], instead of the Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation phenomena in chaotic Dirac quantum dots: Artificial atoms on graphene flakes

2016

View full text Add to dashboard Cite

We develop the stub model for the Dirac Quantum Dot, an electron confining device on a grapheme surface. Analytical results for the average conductance and the correlation functions are obtained and found in agreement with those found previously using semiclassical calculation. Comparison with available data are presented. The results reported here demonstrate the applicability of Random Matrix Theory in the case of Dirac electrons confined in a stadium.

show abstract

Section: Introductionmentioning

confidence: 99%

Fluctuation phenomena in chaotic Dirac quantum dots: Artificial atoms on graphene flakes

2016

View full text Add to dashboard Cite

show abstract

“…Having in mind to describe the crossover between two symmetry classes we generalize the approach of Ref. 45 for nonzero magnetic fields and develop a ballistic theory of the quantum transport valid beyond the diffusion approximation and, therefore, applicable for a wide range of particle concentrations.…”

Section: Introductionmentioning

confidence: 99%

Interference-induced magnetoresistance in HgTe quantum wells

2014

Self Cite

View full text Add to dashboard Cite

We study the quantum interference correction to the conductivity in HgTe quantum wells using the Bernevig-Hughes-Zhang model. This model consists of two independent species (blocks) of massive Dirac fermions. We describe the crossover between the orthogonal and symplectic classes with increasing the carrier concentration and calculate, respectively, weak localization and antilocalization corrections in the absence of the block mixing and assuming the white-noise disorder within each block. We have calculated the interference-induced magnetoresistance in a wide interval of magnetic fields, in particular, beyond the diffusion regime. Remarkably, each Dirac cone taken separately gives a linear contribution to the low-field magnetoresistance, which turns out to be asymmetric in magnetic field B. We present an interpretation of this result in terms of the Berry phase formalism. The contributions of the two blocks are related to each other by replacing B to −B, so that the total magnetoresistance is symmetric and parabolic in the limit B → 0. However, in some range of parameters field dependence turns out to be strongly non-monotonous. We also demonstrate that block mixing gives rise to additional singular diffusive modes which do not show up in the absence of mixing.

show abstract

“…An alternative approach uses the basis of chiral states (3). This approach has been used for calculation of the conductivity correction in zero magnetic field and, recently, for calculation of its magnetic field dependence in HgTe quantum wells [21,22,[25][26][27]. In the present work we use both approaches and demonstrate that they lead to the same results.…”

Section: Conductivity Calculationmentioning

confidence: 69%

“…[21,22] in the diffusive regime and in zero magnetic field only. Recently, weak localization in spin-orbit metals based on the HgTe quantum wells has been examined in the model of double-degenerate branches of the massive Dirac fermions [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Weak antilocalization in two-dimensional systems with large Rashba splitting

Golub¹,

Gornyi²,

Kachorovskii³

2016

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

We develop the theory of quantum transport and magnetoconductivity for two-dimensional electrons with an arbitrary large (even exceeding the Fermi energy), linear-in-momentum Rashba or Dresselhaus spin-orbit splitting. For short-range disorder potential, we derive the analytical expression for the quantum conductivity correction, which accounts for interference processes with an arbitrary number of scattering events and is valid beyond the diffusion approximation. We demonstrate that the zero-field conductivity correction is given by the sum of the universal logarithmic "diffusive" term and a "ballistic" term. The latter is temperature independent and encodes information about spectrum properties. This information can be extracted experimentally by measuring the conductivity correction at different temperatures and electron concentrations. We calculate the quantum correction in the whole range of classically weak magnetic fields and find that the magnetoconductivity is negative both in the diffusive and in the ballistic regimes, for an arbitrary relation between the Fermi energy and the spin-orbit splitting. We also demonstrate that the magnetoconductivity changes with the Fermi energy when the Fermi level is above the "Dirac point" and does not depend on the Fermi energy when it goes below this point.

show abstract

Quantum interference in HgTe structures

Cited by 6 publications

References 41 publications

Fluctuation phenomena in chaotic Dirac quantum dots: Artificial atoms on graphene flakes

Fluctuation phenomena in chaotic Dirac quantum dots: Artificial atoms on graphene flakes

Interference-induced magnetoresistance in HgTe quantum wells

Weak antilocalization in two-dimensional systems with large Rashba splitting

Contact Info

Product

Resources

About