  One fundamental difficulty in realizing Majorana zero modes (MZMs) is the
required high magnetic field, which causes serious issues, e.g., shrinks the
superconducting gap, reduces topological region, and weakens their robustness
against disorder. In this work, we propose that the Meissner effect can bring
the topological superconducting phase to a
superconductor/topological-insulator/superconductor (SC/TI/SC) hybrid system.
Remarkably, the required magnetic field strength ($<$10 mT) to support MZMs has
been reduced by several orders of magnitude compared to that ($>$0.5 T) in the
previous schemes. Tuning the phase difference between the top and bottom
superconductors can control the number and position of the MZMs. In addition,
we account for the electrostatic potential in the
superconductor/topological-insulator (SC/TI) interface through the
self-consistent Schr\"odinger-Poisson calculation, which shows the experimental
accessibility of our proposal. Our proposal only needs a small magnetic eld of
less than 10 mT and is robust against the chemical potential fluctuation, which
makes SC/TI/SC hybrid an ideal Majorana platform.
