Critical exponents of one-dimensional quantum critical models by means of MERA tensor network

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As discussed in Ref. quMERA , generic homogeneous MERA are characterized by two QuMERA channels Φ R \Phi_{R} and Φ L \Phi_{L} . However if the MERA has to describe a translational invariant system the two will, by necessity, have the same fix point and the same spectrum. Without loss of generality we can thus define Φ \Phi as the convex combination of Φ R , L \Phi_{R,L} , i.e. Φ := ( Φ R + Φ L ) / 2 \Phi:=(\Phi_{R}+\Phi_{L})/2
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