MOS STRUCTURE PREPARED BY DEBASISH MOHANTA DEPARTMENT OF ELECTRICAL ENGINEERING GOVERNMENT COLLEGE OF ENGINEERING, KEONJHAR
MOS Transistor The MOS field effect transistor (MOSFET) is the fundamental building block of MOS and CMOS digital integrated circuits. Compared to the bipolar junction transistor (BJT), the MOS transistor occupies a relatively smaller Si area, and its fabrication used to involve fewer processing steps. The technical advantages, together with the relative simplicity of MOSFET operation, have helps make the MOS transistor the most widely switching device in LSI and VLSI circuits.
Metal Oxide Semiconductor (MOS) Structure The MOS structure consists of three layers. The metal gate electrode, the insulating oxide layer, and the p-type bulk semiconductor (Si) called the substrate. The MOS structure forms a capacitor with the gate and the substrate acting as the two terminals (plates) and the oxide layer as the dielectric. The thickness of the layer is usually between 10nm and 50nm.
Metal Oxide Semiconductor (MOS) Structure Considering the basic electrical properties of the semiconductor (Si) substrate, which acts as one of the electrodes of the MOS capacitor. The equilibrium concentration of mobile charge carriers in a semiconductor always obeys the mass action law which is given by Where and denote the mobile carrier concentration of electrons and holes, respectively. denotes the intrinsic carrier concentration of silicon, which is a function of temperature. At room temperature, , . The equilibrium electron and hole concentration in the p-type substrate are The doping concentration is typically on the order of to .
Energy band diagram of p-type substrate The band-gap between the conduction band and the valence band for silicon is approximately 1.1eV. The fermi potential, which is a function of temperature and doping, denotes the difference between the intrinsic fermi level and fermi level . For a p-type substrate, fermi potential can be approximated by where as for a n-type substrate, fermi potential is given by denotes the Boltzmann constant and denotes the electronic charge and is the donor concentration. The fermi potential is positive for n-type material and negative for p-type material .
Energy band diagram of p-type substrate The electron affinity, which is the energy required to remove an electron from conduction band to vacuum level or free space is denoted by . The work function, which is the energy required for an electron to move from fermi level to free space is denoted by .
Energy diagram of MOS system The insulating layer between the silicon substrate and the gate has a large band gap of about 8eV and electron affinity of about 0.95eV. The work function of an aluminium gate is about 4.1eV. Now the three components of an ideal MOS system are brought in to physical contact. The fermi level of all the three materials must align to form the MOS capacitor.
Energy diagram of MOS system Because of the work function difference between the metal and semiconductor, a voltage drop occurs across the MOS system. Part of this built-in voltage drop occurs across the insulating oxide layer. The rest of the voltage drop occurs at the silicon surface next to the silicon-oxide interface forcing the energy bands of silicon to bend in this region.
Energy diagram of MOS system Note that the equilibrium fermi levels of the semiconductor (Si) substrate and the metal gate are at same potential. The bulk fermi level is not significantly affected by the band bending, whereas the surface fermi level moves closer to the intrinsic fermi level. The fermi potential at the surface, also called surface potential is smaller in magnitude than the bulk fermi potential . Example Consider the MOS structure that consists of a p type doped silicon substrate, a silicon dioxide layer and a metal (aluminium) gate. The equilibrium fermi potential of the doped silicon substrate is given by . The electron affinity for Si is 4.15eV and the work function of aluminium is 4.1eV. calculate the built-in potential difference across the MOS system. Assume that the MOS system contains no other charges in the oxide or on the silicon-oxide interface.
MOS Capacitor The metal oxide semiconductor structure is known as MOS capacitor. The expression for MOS capacitance can be written as Where area of the MOS capacitor is A, is the oxide thickness and is the dielectric constant of the oxide material.
MOS System Under External Bias There are three operating regions for the MOS system. a. Accumulation b. Depletion c. Inversion Accumulation If negative voltage is applied to the gate electrode the holes in the p-type substrate are attracted to the semiconductor-oxide interface. The holes will accumulate underneath the oxide interface. This phenomenon is called accumulation.
MOS System Under External Bias Here the equilibrium hole concentration at the bottom layer is less than that of the equilibrium hole concentration at the bulk substrate. Hence the p-type polarity at the oxide-semiconductor interface increases. Hence the band bending occurs only at the oxide-semiconductor interface and there is no band bending at the bottom level of p-type substrate. Due to application of negative bias to the gate terminal, the holes are attracted from the metal towards the gate terminal. Hence the concentration of electrons increases in the metal. Therefore, in case of metal the fermi energy level increases depending upon the gate supply.
MOS System Under External Bias Depletion Now a small positive voltage is applied to the gate electrode. In this case the majority carriers i.e., the holes in the substrate will be repelled back in to the surface. These holes will leave behind negatively charged fixed acceptor ions. Thus, a depletion region is created near the oxide-semiconductor interface.
MOS System Under External Bias Hence the p-type polarity in the oxide-semiconductor interface decreases. The positive surface potential causes the energy level to bend downwards near the surface. Note that under this bias condition the region near the oxide-semiconductor interface is nearly devoid of all the mobile carriers. Due to application of positive bias to the gate terminal the electrons are attracted from the metal towards the gate terminal. Hence, the concentration of electrons decreases in the metal. Therefore, the fermi energy decreases in metal depending upon the gate supply.
MOS System Under External Bias Inversion Here large gate voltage (positive supply) is applied to the gate electrode. In this case the minority carriers that are present at the p-substrate are attracted towards the oxide-semiconductor interface. So, there is a layer of free electrons underneath the oxide-semiconductor interface. Hence it is called inversion mode of operation, since p-type of substrate is inverted to n-type of substrate by forming a layer.
MOS System Under External Bias Due to the application of more gate voltage, there is an occurrence of more band bending. Hence the intrinsic fermi energy level crosses the . Here p-type substrate is inverted to n-type substrate which is clearly visible from the band diagram underneath the interface. The minimum voltage required to form a channel in between source and drain is called threshold voltage.