The DArk Matter Particle Explorer ( DAMPE ) , a high energy cosmic ray and \gamma -ray detector in space , has recently reported the new measurement of the total electron plus positron flux between 25 GeV and 4.6 TeV .
A spectral softening at \sim 0.9 TeV and a tentative peak at \sim 1.4 TeV have been reported .
We study the physical implications of the DAMPE data in this work .
The presence of the spectral break significantly tightens the constraints on the model parameters to explain the electron/positron excesses .
The spectral softening can either be explained by the maximum acceleration limits of electrons by astrophysical sources , or a breakdown of the common assumption of continuous distribution of electron sources at TeV energies in space and time .
The tentive peak at \sim 1.4 TeV implies local sources of electrons/positrons with quasi-monochromatic injection spectrum .
We find that the cold , ultra-relativistic e ^ { + } e ^ { - } winds from pulsars may give rise to such a structure .
The pulsar is requird to be middle-aged , relatively slowly-rotated , mildly magnetized , and isolated in a density cavity .
The annihilation of DM particles ( m _ { \chi } \sim 1.5 TeV ) into e ^ { + } e ^ { - } pairs in a nearby clump or an over-density region may also explain the data .
In the DM scenario , the inferred clump mass ( or density enhancement ) is about 10 ^ { 7 } -10 ^ { 8 } M _ { \odot } ( or 17 - 35 times of the canonical local density ) assuming a thermal production cross section , which is relatively extreme compared with the expectation from numerical simulations .
A moderate enhancement of the annihilation cross section via , e.g. , the Sommerfeld mechanism or non-thermal production , is thus needed .