Semiconductor device
A method for fabricating a phase shift mask includes preparing a transmissive substrate on which a first mask region and a second mask region surrounding the first mask region are defined. In the first mask region, main patterns are formed having a first pitch in a first direction and a second direction perpendicular to the first direction. Each of the main patterns has a first area. In at least one row, assist patterns are formed at the first pitch to surround the main patterns. Each of the assist patterns has a second area less than the first area. In the second mask region, dummy patterns are formed in a plurality of rows. The dummy patterns surround the assist patterns at the first pitch. Each of the dummy patterns has a third area greater than the first area.
1. A semiconductor device comprising:
a plurality of lower electrodes arranged on a semiconductor substrate in a first direction and a second direction perpendicular to the first direction; and
a support contacting the plurality of lower electrodes, the support being in a planar shape and having four edges, the support including a plurality of open regions for respectively opening portions of the plurality of lower electrodes,
wherein, from among the four edges, two edges facing each other in the first direction are straight lines and two edges facing each other in the second direction are waveforms.
2. The semiconductor device of claim 1 , wherein:
the plurality of lower electrodes are arranged in a honeycomb structure,
each of six lower electrodes among the plurality of lower electrodes is at a corresponding vertex of a hexagon and one of the plurality of lower electrodes is at a center point of the hexagon, the six lower electrodes among the plurality of lower electrodes and the one of the plurality of lower electrodes forming a hexagon structure,
each of the six lower electrodes among the plurality of lower electrodes is at a corresponding center point of each of six different hexagon structures, and
the one of the plurality of lower electrodes is one of the plurality of lower electrodes at a corresponding vertex of each of the six different hexagon structures, the six different hexagon structures sharing the one of the plurality of lower electrodes.
3. The semiconductor device of claim 1 , wherein each of the waveforms of the two edges has a constant repetition period and the waveforms of the two edges have opposite phases.
4. The semiconductor device of claim 1 , wherein each of the open regions exposes a portion of each of three neighboring lower electrodes among the plurality of lower electrodes.
5. The semiconductor device of claim 1 , wherein the support is formed as an integral body, and lower electrodes among the plurality of lower electrodes formed in a periphery of the four edges are dummy structures.
6. The semiconductor device of claim 5 , wherein the dummy structures are asymmetrically arranged in a periphery of two edges facing each other in the first direction.
7. The semiconductor device of claim 6 , wherein the dummy structures do not contact the plurality of open regions.
8. The semiconductor device of claim 1 , wherein a radius of curvature of each of the waveforms is greater than a radius of curvature of each of the open regions.
9. The semiconductor device of claim 8 , wherein the radius of curvature of each of the open regions is greater than a radius of curvature of each of the plurality of lower electrodes.
10. The semiconductor device of claim 1 , wherein a virtual line connecting centers of the plurality of lower electrodes arranged in the first direction is a straight line, and a virtual line connecting centers of the plurality of lower electrodes arranged in the second direction is a zigzag line.
11. A semiconductor device comprising:
a plurality of lower electrodes arranged on a semiconductor substrate in a first direction and a second direction perpendicular to the first direction; and
a support contacting the plurality of lower electrodes, the support being in a planar shape and having four edges, the support including a plurality of open regions for respectively opening portions of the plurality of lower electrodes,
wherein lower electrodes among the plurality of lower electrodes formed in a periphery of the four edges are dummy structures, and the dummy structures do not contact the plurality of open regions.
12. The semiconductor device of claim 11 , wherein the dummy structures are asymmetrically arranged in a periphery of two edges facing each other in the first direction.
13. The semiconductor device of claim 12 , wherein dummy structures arranged in a periphery of one of the two edges facing each other in the first direction are arranged in two rows in the second direction, and dummy structures arranged in a periphery of the other one of the two edges facing each other in the first direction are arranged in one row in the second direction.
14. The semiconductor device of claim 11 , wherein, from among the four edges, two edges facing each other in the second direction are waveforms, and a radius of curvature of each of the waveforms is greater than a radius of curvature of each of the open regions.
15. The semiconductor device of claim 11 , wherein, from among the four edges, two edges facing each other in the first direction are straight lines.
16. A semiconductor device comprising:
a semiconductor substrate;
an interlayer insulating layer disposed on the semiconductor substrate;
a plurality of contact plugs in the interlayer insulating layer;
a plurality of lower electrodes on the interlayer insulating layer, each of the plurality of lower electrodes disposed on a corresponding contact plug among the plurality of contact plugs in a first direction and a second direction perpendicular to the first direction; and
a support contacting the plurality of lower electrodes, the support being in a planar shape and having four edges, the support including a plurality of open regions for respectively opening portions of the plurality of lower electrodes,
wherein, from among the four edges, two edges facing each other in the first direction are straight lines and two edges facing each other in the second direction are waveforms, and lower electrodes among the plurality of lower electrodes formed in a periphery of the four edges are dummy structures and the dummy structures do not contact the plurality of open regions.
17. The semiconductor device of claim 16 , further comprising:
a dielectric layer conformally covering the plurality of lower electrodes and the support through the plurality of open regions; and
an upper electrode arranged on an entire surface of the dielectric layer.
18. The semiconductor device of claim 17 , wherein the plurality of lower electrodes, the dielectric layer, and the upper electrode function as a capacitor.
19. The semiconductor device of claim 16 , wherein a radius of curvature of each of the waveforms is greater than a radius of curvature of each of the open regions, and the radius of curvature of each of the open regions is greater than a radius of curvature of each of the lower electrodes.
20. The semiconductor device of claim 16 , wherein a material constituting the support comprises silicon nitride or polysilicon and the support has a thickness of about 20 nm to about 150 nm.