Thermal signature of the Majorana fermion in a Josephson junction

Electrically controllable thermal transport in Josephson junctions based on buckled two-dimensional materials

“…In doing so, the superconducting gap can be effectively modeled by a step function, In the present work, we study the thermal transport properties by virtue of the scattering wave approach. This method has been extensively employed to investigate the thermal transport properties in temperaturebiased superconducting hybrid structures [9][10][11][12][13][14][15][16][17][18][19][20][21][22]27]. Compared with the approaches of tunneling Hamiltonian and Usadel equation in quasiclassical approximation, the scattering wave method possesses the advantages to explore the thermal transport properties in a single-or a few-channel superconducting hybrid structures with arbitrary transparency [12].…”

“…Therefore, we only concentrate on thermal conductance contributed by electron-like and hole-like quasiparticles and neglect the contribution from phonons. Taking advantage of the transmission probability T ησ (ǫ, θ), the heat current can be written as [9][10][11][12][13][14][15][16][17][18][19][20][21][22]27]…”

“…The thermal transport in temperature-biased Josephson junctions has recently garnered considerable attention, due to the extensive applications ranging from phase-coherent caloritronics [1][2][3][4][5][6][7][8][9][10][11][12][13] to the detection of novel quantum states [14][15][16][17][18][19][20][21][22]. In Josephson junctions, the formation of Andreev-bound states (ABSs) has a profound impact on the quasiparticle scattering.…”

“…In this regard, the thermal transport measurement opens a compensate route to identify the existence of novel quantum states. Recent theoretical proposals have shown that the thermal currents in temperature-biased topological Josephson junctions can be used to probe the topological ABSs [14], Majorana zero modes [15,16], Jackiw-Rebbi resonant states [17], and helical edge states [18,19]. Furthermore, since the thermal transport is sensitive to the pairing symmetry of the superconducting condensate, the thermal transport signature can sever as a valuable tool to distinguish the spin-singlet and spin-triplet pairing states in temperature-biased topological [20] and conventional Josephson junctions [22].…”

“…Although significant achievements have been made in the thermal transport properties of Josephson junctions, the research attention to date has mainly been restricted to the phase-coherent aspect of thermal transport [2][3][4][5][6][7][8][9][10][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. In practice, the manipulation of the proposed phase dependence needs to resort to an external magnetic field [2][3][4][5][6].…”