  In the present work, a new form of the logarithmic shape function is proposed
for the linear $f(R,T)$ gravity, $f(R,T)=R+2\lambda T$ where $\lambda$ is an
arbitrary coupling constant, in wormhole geometry. The desired logarithmic
shape function accomplishes all necessary conditions for traversable and
asymptotically flat wormholes. The obtained wormhole solutions are analyzed
from the energy conditions for different values of $\lambda$. It has been
observed that our proposed shape function for the linear form of $f(R,T)$
gravity, represents the existence of exotic matter and non-exotic matter.
Moreover, for $\lambda=0$ i.e. for the general relativity case, the existence
of exotic matter for the wormhole geometry has been confirmed. Further, the
behaviour of the radial state parameter $\omega_{r}$, the tangential state
parameter $\omega_{t}$ and the anisotropy parameter $\triangle$ describing the
geometry of the universe, has been presented for different values of $\lambda$
chosen in $[-100,100]$.
