Respected members

I have a problem in finding density of state for semi Dirac system (linear dispersion relation in one direction and parabolic in other direction). $$E(k)=\pm\sqrt{{(\hslash^2k_x^2/2m)}^2+{(\hbar v_fK_y)}^2}$$

also with the mass term and gap parameter

$$E(k)=\pm\sqrt{{(\hslash^2k_x^2/2m-\delta)}^2+{(\hbar v_fK_y)}^2+{(m+\beta k_x)}^2}$$

please can you guide me .i am attaching this paper alsoenter link description here


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