The Thermoelectric Properties Based On The Majorana Fermion

In this paper，we investigate the model of double electrode based on Majorana fermionwith the scattering matrix method. We also study the model of single electrode doublequantum dots. We calculate the changing of conductance, the thermoelectric potential, thermalconductivity and the quality ZT with the variation of feimi energy.First of all, We calculate the thermoelectrict properties of the model of double electrodebased on Majorana fermion in two-dimensional topological insulators. At the sametemperature, the coupling of the electrode and the Majorana fermion are2.5meV,0.5meV and0.25meV. When the Fermi energy is zero, the conductance and thermal conductivity have asingle peak. The conductance and thermal conductivity increases with the increase of thecoupling value. Thermal conductivity has a peak in the electron-hole symmetry. When Fermienergy level is less than zero, thermoelectric potential is negative because the transport carrierfor electronic. When Fermi energy level is greater than zero, the thermoelectric potential ispositive because the transport carrier for hole. The quality ZT are greatly influenced by thevalue of coupling, The quality ZT decreases with the increasing of the value of coupling.When the value of coupling is remain2.5meV between nanowires and left electrode, thevalue of coupling is2.5meV,0.025meV and zero between nanowires and right electrode.We studied the thermoelectrict properties. The system is changed from the model of doubleelectrode to a single electrode model, When the value of coupling is zero between nanowiresand the right electrode. We found that the conductivity and thermal conductivity is half of thedouble electrode model. We calculate the conductance, thermoelectric potential, thermalconductivity and ZT quality factor in different temperature with the coupling between theends of the quantum wire and electrode is2.5meV. The results show that the conductancedecreased with the temperature rising. The heat conductivity increased along with range of thetemperature. We calculate the conductance, thermoelectric potential, thermal conductivity andZT quality factor in different temperature with the coupling between quantum wire andelectrode is0.025meV. The results show that the conductance decreased along with the rangeof the rising temperature. When the coupling is2.5meV between the nanowires and leftelectrode, the coupling is zero between nanowires with the right electrode, the conductance is decreased and thermal conductivity is increased with range of the temperature. The model ofthe system is become single electrode model.At the same time, We calculate the thermoelectric properties of the model of singleelectrode double quantum dots based on Majorana fermion. The energy level of doublequantum dots is zero, the coupling between left quantum dot and the left side of the electrodeis0.25meV. The conductance have three peak because of the exist of Majorana fermion andtwo quantum dots. The conductance is minimum when Fermi energy in the two energy level.The peak of thermal conductivity is wide with the temperature increase. When the different ofcarrier in the energy level and second level have the same number, the net current is zero, thenthe thermoelectric potential is zero. The change of ZT quality factor is mainly due to thethermoelectric potential. When the energy level of two quantum dots have different value,The thermoelectrict properties of the system will have different phenomenon..