Due to the continuous shrinking of structures on microchips – on the one hand to reduce power consumption, and on the other to achieve maximum switching speeds – the interconnects used to wire the individual devices move ever closer together, both vertically and laterally. To isolate the interconnects from one another, layers such as silicon dioxide SiO2 have to be deposited as ILD.
Wherever interconnects run parallel to each other or cross on metallization layers stacked one above another, parasitic capacitances (capacitors) arise. The interconnects form the conductive electrodes, and the SiO2 lying between them forms the dielectric.
The capacitance C of a capacitor is calculated as follows:
$$C=\frac{\epsilon_r\epsilon A}{d}$$
Here, d stands for the distance and A for the area of the electrodes, i.e. of the overlapping interconnects. ε0 denotes the absolute permittivity of vacuum, and εr (in English often κ (kappa), or simply k) the relative permittivity of the insulator (here SiO2).
The magnitude of the parasitic capacitance influences electrical properties such as the maximum switching speed or the power consumption of the chip, which is why efforts are made to keep C as small as possible. In theory this is possible by decreasing ε0, εr, and A, or by increasing d. Since, as explained above, d keeps getting smaller, A is dictated by electrical requirements, and ε0 is a physical constant, it follows that the capacitance of a capacitor can essentially only be lowered by decreasing εr.
Dielectrics with a low εr are therefore needed: low-k.
The classic dielectric, SiO2, has a permittivity of about 4. Low-k refers to materials with a value of εr < 4; ultra-low-k materials (ULK) with εr < 2.4 have been state of the art in manufacturing for years. The permittivity indicates the polarization (displacement of charges within an insulator) in the dielectric, and is the factor by which the charge of a capacitor increases compared to empty space, or by which the electric field inside the capacitor is weakened.
To reduce the permittivity, there are basically two approaches:
- reducing the polarizability of bonds within the dielectric
- reducing the number of bonds
Polarizability can be lowered using materials with fewer polar groups; possibilities include fluorinated (FSG, εr about 3.6) or organic (OSG) silicon oxides. However, on its own this is no longer sufficient given ever-shrinking feature sizes, which is why the trend is toward porous layers. Due to porosity, "empty space" is then present within the ILD, which, in the case of air, has a permittivity of about 1. This lowers εr for the entire layer. The pores can be created by mixing the ILD material with polymers, which are then driven out of the layer in an annealing step.
However, several problems arise that have to be overcome in order to use these new materials in semiconductor manufacturing.
Pores in the material reduce its density, resulting in lower mechanical stability. In the case of SiO2, about 50 % porosity would have to be introduced into the material to achieve a k-value of 2.0. If an organic material is assumed whose k-value without pores is 2.5, a porosity of about 22 % is sufficient.
(Source: Semiconductor International)
Likewise, process gases or copper from the interconnects can more easily penetrate the porous layer and damage it, causing the permittivity to rise again. To counteract this, the pores must be distributed as evenly as possible and must not be interconnected. To prevent copper from diffusing into the ILD, a thin diffusion barrier has to be deposited in an additional process step; however, care must be taken that this material does not increase the permittivity.
Just like the photoresist used in semiconductor manufacturing, the organic silicon oxides are also composed of hydrocarbon groups (CH). If the resist is removed after patterning the dielectric using an oxygen plasma, the plasma also attacks the dielectric. Here too, additional protective layers (SiN, as described in the section Damascene process) have to be applied to prevent the insulating layer from being damaged.
When no material helps anymore: air gaps
At the end of this development lies the elimination of the dielectric altogether. If the material between two closely spaced interconnects is deliberately removed and the resulting gap is bridged at the top by a deposition with poor coverage, a cavity remains – with a permittivity of 1, the best possible insulator. Such air gaps are used only at selected locations where the capacitance is especially problematic, since they further weaken the structure mechanically and make heat dissipation more difficult.
This is precisely where the real difficulty of the whole low-k development lies: every step toward a smaller k-value makes the layer more porous and thus softer. Yet it still has to withstand chemical mechanical polishing and later endure the forces that act on the chip during package assembly and with every temperature change in operation.
Overview of various organic silicon oxides
| Chemical formula |
Chemical structure |
k-value |
| SiO2 |
 |
4.0 |
| SiO1.5CH3 |
 |
3.0 |
| SiO(CH3)2 |
 |
2.7 |
| SiO0.5(CH3)3 |
 |
2.55 |