To compute the transfer matrix M, we denoted the solution in the point n = 0 by u0 and considered the equationEmbedded Image(3)describing stationary currents, in the points n = 0 and n = ±1 using the explicit forms for the waves in the left Embedded Image (n ≤ −1) and the right Embedded Image (n ≥ 1) half-space. From the equation, with n = 0 and using the expression for the chemical potential Embedded Image, we obtained u0Embedded Image(4)With this expression, the equations at n = ±1 are transformed to a linear algebraic system, which is solved for the pair (aR, bR), giving their expressions through (aL, bL), thus determining the transfer matrixEmbedded Image(5)

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