Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi$_{2}$Sr$_{1.6}$Nd$_{0.4}$CuO$_{6+\delta}$

We have studied Bi $_{2}$ Sr $_{1.6}$ Nd $_{0.4}$ CuO $_{6 + δ}$ using Angle Resolved Photoemission Spectroscopy in the optimal and overdoped regions of the phase diagram. We identify a narrow crossover region in the electronic structure between the nodal and antinodal regions associated with the deviation from a pure d-wave gap function, an abrupt increase of the quasiparticle lifetime, the formation of Fermi arcs above T $_{c}$ , and a sudden shift of the bosonic mode energy from higher energy, $\sim$ {60meV}, near the nodal direction, to lower energy, $\sim$ {20meV}, near the antinodal direction. Our work underscores the importance of a unique crossover region in the momentum space near E $_{F}$ for the single layered cuprates, between the nodal and antinodal points, that is independent of the antiferromagnetic zone boundary.

Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi $_{2}$ Sr $_{1.6}$ Nd $_{0.4}$ CuO $_{6 + δ}$

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Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi $_{2}$ Sr $_{1.6}$ Nd $_{0.4}$ CuO $_{6 + δ}$

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Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi22​Sr1.61.6​Nd0.40.4​CuO6+δ6+δ​

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Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi22​Sr1.61.6​Nd0.40.4​CuO6+δ6+δ​

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Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi $_{2}$ Sr $_{1.6}$ Nd $_{0.4}$ CuO $_{6 + δ}$

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Crossover region between nodal and anti-nodal states at the Fermi level of optimally and overdoped Bi $_{2}$ Sr $_{1.6}$ Nd $_{0.4}$ CuO $_{6 + δ}$

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