We synthesized nonmagnetic PtBi 2 single crystals and observed a giant linear magneto-resistance (MR) up to 684% under a magnetic field ” 0 H = 15 T at T = 2 K. The linear MR decreases with increasing temperature, but it is still as large as 61% under ” 0 H of 15 T at room temperature. Such a giant linear MR is unlikely to be described by the quantum model as the quantum condition is not satisfied. Instead, we found that the slope of MR scales with the Hall mobility, and it can be well explained by a classical disorder model. PACS numbers: 75.47. Gk; 72.15.Gd; 71.20.Lp; 85.75.Bb Materials exhibiting large magneto-resistance (MR) can not only be utilized to enlarge the sensitivity of read/write heads of magnetic storage devices, e.g., magnetic memory 1 and hard drives 2 , but also stimulate many fundamental studies in material physics at low temperatures 3,4 . Generally speaking, the ordinary MR in non-magnetic compounds and elements 5 is a relatively weak effect and usually at the level of a few percent for metals 4 . Moreover, a conventional conductor under an applied magnetic field exhibits a quadratic field dependence of MR which saturates at medium fields and shows a relatively small magnitude. Owing to the rich physics and potential applications, the large linear MR effect has drawn renewed interest recently.6-8 There are two predominant models used to explain the origin of such large linear MR effect, namely, the quantum model 9 and the classical model 10 . The quantum model is proposed for materials with zero band gap and linear energy dispersion, such as topological insulators 11 , graphene 12 , Dirac semimetals like SrMnBi 2 13 , and the parent compounds of iron based superconductors 14 . Quantum linear MR occurs in the quantum limit when all of the electrons fill the lowest Landau level (LL)9 . In contrast, the classical linear MR is dominated by disorder. Materials showing the classical linear MR include highly disordered systems 15 , and weakly disordered samples with high mobility 7,16-18 , thin films, and quantum Hall systems 19 . However, it is interesting that the classical linear MR has also frequently been reported in materials with linear dispersions, such as the topological insulator Bi 2 Se 3 20 , graphene 7 , and the Dirac semimetal Cd 3 As 2 17 , which may be due to their large mobility. Even weak disorder could induce linear MR in highmobility samples 16,17 . When the carrier concentration a) Electronic mail: zhuan@zju.edu.cn is too high for the quantum limit, the linear MR may be described by classical model for disordered systems 7,18 .In this Letter, we synthesized high quality single crystals of nonmagnetic PtBi 2 and investigated the magnetotransport properties. We observed a giant positive linear MR up to 684% under ” 0 H = 15 T at T = 2 K. MR decreases with increasing temperature, but MR of 61% is still achieved under a magnetic field of 15 T even at room temperature. Regarding the origin of the linear MR, the close relationship between the MR and the Hall mobility implies that ...