We suggest a new design of Rapid Single Flux Quantum (RSFQ) logic circ
uits which is based on a single superconducting layer and does not req
uire a superconducting ground plane. The small inductances of about 10
pH, that are obligatory for the RSFQ applications, are formed as narro
w slits with width comparable to the London penetration depth (congrue
nt to 0.15 mu m). The design allows us to decrease the geometric size
of the RSFQ cell and can be applied to low- T-c circuits as well. Test
circuits have been implemented using YBaCuO grain boundary junctions
on asymmetric 32 degrees Y-ZrO2 bi-crystals to measure the slit induct
ance per unit length and the mutual inductance of neighboring slits. A
typical inductance of a 0.4 mu m slit was determined to be 0.7pH/mu m
. We present a new design and a computer simulation of a flip-flop cir
cuit based on these inductance measurements. To realize these circuits
experimentally one needs at least two grain boundaries, separated by
a distance of 10 to 15 mu m, or to use bi-epitaxial or step-edge junct
ion technology.