Resistivity scaling and electron relaxation times in metallic nanowires

We study the resistivity scaling in nanometer-sized metallic wires due to surface roughness and grain-boundaries, currently the main cause of electron scattering in nanoscaled interconnects. The resistivity has been obtained with the Boltzmann transport equation, adopting the relaxation time approximation (RTA) of the distribution function and the effective mass approximation for the conducting electrons. The relaxation times are calculated exactly, using Fermi's golden rule, resulting in a correct relaxation time for every sub-band state contributing to the transport. In general, the relaxation time strongly depends on the sub-band state, something that remained unclear with the methods of previous work. The resistivity scaling is obtained for different roughness and grain-boundary properties, showing large differences in scaling behavior and relaxation times. Our model clearly indicates that the resistivity is dominated by grain-boundary scattering, easily surpassing the surface roughness contribution by a factor of 10.Comment: 19 pages, 5 figure

Cux_xAl1−x_{1-x} films as Alternatives to Copper for Advanced Interconnect Metallization

Cu$_x$Al$_{1-x}$ thin films with $0.2 \le x \le 0.7$ have been studied as potential alternatives for the metallization of advanced interconnects. First-principles simulations were used to obtain the Cu$_x$Al$_{1-x}$ electronic structure and cohesive energy to benchmark different intermetallics and their prospects for interconnect metallization. Next, thin Cu$_x$Al$_{1-x}$ films were deposited by PVD with thicknesses in the range between 3 and 28 nm. The lowest resistivities of 9.5 $\mu\Omega$cm were obtained for 28 nm thick stochiometric CuAl and CuAl$_2$ after 400$^\circ$C post-deposition annealing. Based on the experimental results, we discuss the main challenges for the studied aluminides from an interconnect point of view, namely the control of the film stoichiometry, the phase separation observed for off-stoichiometric CuAl and CuAl$_2$, as well as the presence of a nonstoichiometric surface oxide.Comment: 24 pages, 7 figure

Al3_3Sc thin films for advanced interconnect applications

Al$_x$Sc$_{1-x}$ thin films have been studied with compositions around Al$_3$Sc ($x = 0.75$) for potential interconnect metallization applications. As-deposited 25 nm films were x-ray amorphous but crystallized at 190{\deg}C with a recrystallization observed at 440{\deg}C. After annealing at 500{\deg}C, 24 nm thick stoichiometric Al$_3$Sc showed a resistivity of 12.6 ${\mu}{\Omega}$cm, limited by a combination of grain boundary and point defect (disorder) scattering. Together with ab initio calculations that found a mean free path of the charge carriers of 7 nm for stoichiometric Al$_3$Sc, these results indicate that Al$_3$Sc bears promise for future interconnect metallization schemes. Challenges remain in minimizing the formation of secondary phases as well as in the control of the non-stoichiometric surface oxidation and interfacial reaction with the underlying dielectrics.Comment: 15 pages, 4 figure

Thickness dependence of the resistivity of Platinum group metal thin films

We report on the thin film resistivity of several platinum-group metals (Ru, Pd, Ir, Pt). Platinum-group thin films show comparable or lower resistivities than Cu for film thicknesses below about 5\,nm due to a weaker thickness dependence of the resistivity. Based on experimentally determined mean linear distances between grain boundaries as well as ab initio calculations of the electron mean free path, the data for Ru, Ir, and Cu were modeled within the semiclassical Mayadas--Shatzkes model [Phys. Rev. B 1, 1382 (1970)] to assess the combined contributions of surface and grain boundary scattering to the resistivity. For Ru, the modeling results indicated that surface scattering was strongly dependent on the surrounding material with nearly specular scattering at interfaces with SiO2 or air but with diffuse scattering at interfaces with TaN. The dependence of the thin film resistivity on the mean free path is also discussed within the Mayadas--Shatzkes model in consideration of the experimental findings.Comment: 28 pages, 9 figure

Properties of Nb\_xTi\_{(1-x)}N thin films deposited on 300 mm silicon wafers for upscaling superconducting digital circuits

Scaling superconducting digital circuits requires fundamental changes in the current material set and fabrication process. The transition to 300 mm wafers and the implementation of advanced lithography are instrumental in facilitating mature CMOS processes, ensuring uniformity, and optimizing the yield. This study explores the properties of NbxTi(1-x)N films fabricated by magnetron DC sputtering on 300 mm Si wafers. As a promising alternative to traditional Nb in device manufacturing, NbxTi(1-x)N offers numerous advantages, including enhanced stability and scalability to smaller dimensions, in both processing and design. As a ternary material, NbxTi(1-x)N allows engineering material parameters by changing deposition conditions. The engineered properties can be used to modulate device parameters through the stack and mitigate failure modes. We report characterization of NbxTi(1-x)N films at less than 2% thickness variability, 2.4% Tc variability and 3% composition variability. The films material properties such as resistivity (140-375 {\Omega}cm) and critical temperature Tc (4.6 K - 14.1 K) are correlated with stoichiometry and morphology of the films. Our results highlight the significant influence of deposition conditions on crystallographic texture along the films and its correlation with Tc.Comment: 8 pages 8 figure

Demonstration of low-frequency noise measurements for studying electromigration mechanisms in advanced nano-scaled interconnects

Electromigration (EM) strongly decreases the reliability of micro-electronics interconnects and becomes more problematic as scaling continues. Remedial measures are required, but therefore EM mechanisms first have to be understood. The standard, accelerated EM test methods are time-consuming, destructive and provide only limited physical understanding. We demonstrate that low-frequency (LF) noise measurements can be used to calculate EM activation energies, making it a fast and non-destructive alternative test method that leads to new insights into the underlying EM mechanisms. More specifically, we show 3 different approaches to calculate activation energies based on LF noise measurements and prove their equivalence.status: publishe

Study of the enhanced electromigration performance of Cu(Mn) by low-frequency noise measurements and atom probe tomography

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Study of the enhanced electromigration performance of Cu(Mn) by low-frequency noise measurements and atom probe tomography

The enhanced electromigration (EM) performance of 20 nm-wide Cu interconnects with a Mn-doped Cu seed and a Mn-based barrier is studied by means of low-frequency (LF) noise measurements and atom probe tomography (APT). While the EM activation energy of reference interconnects without Mn is 0.8 eV, standard EM tests revealed an activation energy of 1.0 eV for Cu(Mn) interconnects. The LF noise measurements confirm the activation energy of 1.0–1.1 eV in the Cu(Mn) interconnects, but also the activation energy of 0.8 eV is still visible, though less pronounced. Furthermore, the extent to which the mechanism at 0.8 eV is suppressed is strongly subjected to sample variations. These observations are confirmed by APT; Mn is found at the top surface and small clusters of Mn are present in the Cu bulk up to 5 nm away from the sidewalls. Mn segregation at the grain boundaries was not observed such that the hypothesis of Mn blocking grain boundary diffusion cannot be confirmed.status: publishe

Ab initio screening of metallic MAX ceramics for advanced interconnect applications

The potential of a wide range of layered ternary carbide and nitride Mn+1AXn [an early transition metal (M), an element of columns 13 or 14 of the periodic table (A), and either C or N (X)] phases as conductors in interconnect metal lines in advanced complementary metal-oxide-semiconductor (CMOS) technology nodes has been evaluated using automated first-principles simulations based on density-functional theory. The resistivity scaling potential of these compounds, i.e., the expected sensitivity of their resistivity to reduced line dimensions, has been benchmarked against Cu and Ru by evaluating their transport properties within a semiclassical transport formalism. In addition, their cohesive energy has been assessed as a proxy for the resistance against electromigration and the need for diffusion barriers. The results indicate that numerous MAX phases show promise as conductors in interconnects of advanced CMOS technology nodes