Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system

Majek, Piotr; Weymann, Ireneusz

doi:10.1016/j.jmmm.2021.168935

Cited by 5 publications

(5 citation statements)

References 44 publications

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“…By comparing (12) with flow equations (11), one obtains the following set of differential equations (representing the 𝑙 renormalization of parameters):…”

Section: Flow Equationsmentioning

confidence: 99%

“…Therefore, the interaction terms between two possible antiferromagnetic spin alignments (as well as the exchange interaction term) are different in a general case. Therefore, in the effective Hamiltonian (12), we assume arbitrary (nonidentical) values of terms 𝐽 𝐤𝐩↑ , 𝐽 𝐤𝐩↓ and 𝐽 𝑒𝑥 𝐤𝐩 . The evolution of these additional terms is given by (16) Using the Runge-Kutta method with initial conditions being non-renormalized parameters (i.e., 𝜖(0), 𝑈 𝑑 (0), etc.…”

Section: Flow Equationsmentioning

confidence: 99%

“…One of the most reliable family of methods used to solve such problems are renormalization techniques. Using the numerical renormalization group theory (NRG), the Majorana-Kondo competition was analyzed, e.g., in single and double quantum dots [11,12].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Continuous unitary transformation approach to the Kondo–Majorana interplay

Barański,

Barańska,

Zienkiewicz

et al. 2023

Journal of Magnetism and Magnetic Materials

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“…By comparing (12) with flow equations (11), one obtains the following set of differential equations (representing the 𝑙 renormalization of parameters):…”

Section: Flow Equationsmentioning

confidence: 99%

Section: Flow Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Continuous unitary transformation approach to the Kondo–Majorana interplay

Barański,

Barańska,

Zienkiewicz

et al. 2023

Journal of Magnetism and Magnetic Materials

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“…Currently, transport experiments offer a relatively simple way to detect MBSs signatures via the phenomenon of zero-bias anomaly (ZBA) emerging in the electrical conductance due to the exotic zero-energy character of MBSs. [7,8,16] To avoid uncertainty of the ZBA unique to the existence of MBSs, it often requires to perform additional analysis to distinguish MBSs from possibilities of the Kondo effect [17][18][19][20] or the partially separated Andreev bound states. [21][22][23][24][25] Other mechanisms that can demonstrate the existence of MBS were also proposed, including spin selective Andreev reflection, [13] fractional and planar Josephson effects, [9,10,26] quantum interference effects in in ring-or T-shaped QDs-based systems, [27][28][29][30][31] etc.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Seebeck and Peltier effects in a Majorana nanowire coupled to leads

Chi 迟,

Liu 刘,

Fu 付

et al. 2024

Chinese Phys. B

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We study theoretically nonlinear thermoelectric transport through a topological superconductor nanowire hosting Majorana bound states (MBSs) at its two ends, a system named as Majorana nanowire (MNW). We consider that the MNW is coupled to the left and right normal metallic leads subjected to either bias voltage or temperature gradient. We focus our attention on the sign change of nonlinear Seebeck and Peltier coefficients induced by mechanisms related to the MBSs, by which the possible existence of MBSs might be proved. Our results show that for a fixed temperature difference between the two leads, the sign of the nonlinear Seebeck coefficient (thermopower) can be reversed by changing the overlap amplitude between the MBSs or the system equilibrium temperature, which are similar to the cases in linear response regime. By optimizing the MBS-MBS interaction amplitude and system equilibrium temperature, however, we find that the temperature difference may also induce sign change of the nonlinear thermopower. For zero temperature difference and finite bias voltage, both the sign and magnitude of nonlinear Peltier coefficient can be adjusted by changing the bias voltage or overlap amplitude between the MBSs. In the presence of both bias voltage and temperature difference, we show that the electrical current at zero Fermi level and the states induced by overlap between the MBSs keeps unchanged regardless of the amplitude of temperature difference. We also find that the direction of the heat current driven by bias voltage may be changed by weak temperature difference.

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“…In fact, many works discuss Hermitian quantum dots interacting with Majorana fermions. [14][15][16][17][18][19][20][21][22][23][24][25][26][27] However, here we focus on the interplay of PT-symmetric complex potentials, Majorana tunneling and interdot tunneling in a non-Hermitian quantum dot system. We expect that the combination of PT-symmetric complex potentials, Majorana tunneling and interdot tunneling would induce an exceptional point that has not been discussed before.…”

Section: Introductionmentioning

confidence: 99%

Majorana tunneling in a one-dimensional wire with non-Hermitian double quantum dots

Niu 牛,

Luo 罗

2023

Chinese Phys. B

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The combination of non-Hermitian physics and Majorana fermions can give rise to new effects in quantum transport systems. In this work, we investigate the interplay of PT-symmetric complex potentials, Majorana tunneling and inter-dot tunneling in a nonHermitian double quantum dot system. It is found that in weak-coupling regime the Majorana tunneling take pronounced effects to the transport properties of such a system, manifested as splitting the unitary peak into three and a reduced 1/4 peak in transmission function. In the presence of the PT-symmetric complex potentials and inter-dot tunneling, the 1/4 central peak is robust against them, while the two side peaks are tuned by them. The interdot tunneling only induces asymmetry, instead of moving the conductance peak, due to the robustness of Majorana modes. There is an exceptional point induced by the union of Majorana tunneling and inter-dot tunneling. With increased PT-symmetric complex potentials, the two side peaks will move towards each other. When the exceptional point is passed through, these two side peaks will disappear. In strong-coupling regime, Majorana Fermion induces a 1/4 conductance dip instead of the three-peak structure. PT-symmetric complex potentials induce two conductance dips pinned at exceptional point. These effects should be accessible in experiment.

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Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system

Cited by 5 publications

References 44 publications

Continuous unitary transformation approach to the Kondo–Majorana interplay

Continuous unitary transformation approach to the Kondo–Majorana interplay

Nonlinear Seebeck and Peltier effects in a Majorana nanowire coupled to leads

Majorana tunneling in a one-dimensional wire with non-Hermitian double quantum dots

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