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Galactic short-period close white dwarf binaries (CWDBs) are importantobjects for space-borne gravitational-wave (GW) detectors in the millihertzfrequency bands. Due to the intrinsically low luminosity, only about 25identified CWDBs are detectable by the Laser Interferometer Space Antenna(LISA), which are also known as verification binaries (VBs). The Gaia EarlyData Release 3 (EDR3) provids a catalog containing a large number of CWDBcandidates, which also includes parallax and photometry measurements. Wecrossmatch the Gaia EDR3 and Zwicky Transient Facility public data release 8,and apply period-finding algorithms to obtain a sample of periodic variables.The phase-folded light curves are inspected, and finally we obtain a binarysample containing 429 CWDB candidates. We further classify the samples intoeclipsing binaries (including 58 HW Vir-type binaries, 65 EA-type binaries, 56EB-type binaries, and 41 EW-type binaries) and ellipsoidal variations (209ELL-type binaries). We discovered four ultrashort period binary candidates withunique light-curve shapes. We estimate the GW amplitude of all of our binarycandidates, and calculate the corresponding signal-to-noise ratio (S/N) forTianQin and LISA. We find two (six) potential GW candidates with S/Ns greaterthan 5 in the nominal mission time of TianQin (LISA), which increases the totalnumber of candidate VBs for TianQin (LISA) to 18 (31).

A Systematic Search for Short-period Close White Dwarf Binary Candidates Based on Gaia EDR3 Catalog and Zwicky Transient Facility Data