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The problem of photoemission from a quasi-1D material is studied. We identifytwo issues that play a key role in the detection of gapless Tomonaga-Luttingerliquid (TLL) phase. Firstly, we show how a disorder -- backward scattering aswell as forward scattering component, is able to significantly obscure the TLLstates, hence the initial state of ARPES. Secondly, we investigate thephoto-electron propagation towards a sample's surface. We focus on thescattering path operator contribution to the final state of ARPES. We showthat, in the particular conditions set by the 1D states, one can derive exactanalytic solution for this intermediate stage of ARPES. The solution shows thatfor particular energies of incoming photons the intensity of photo-current maybe substantially reduced. Finally, we put together the two aspects (thedisorder and the scattering path operator) to show the full, disruptive forceof any inhomogeneities on the ARPES amplitude.

Why it is so hard to detect Luttinger liquids in ARPES?