Utilizing the notion of metamaterials, in recent years the concept of a circuit and lumped circuit elements have been extended to the optical domains, providing the paradigm of optical metatronics, i.e. metamaterial-inspired optical nanocircuitry as a powerful tool for design and study of more complex systems at the nanoscale. In this Letter we present a design for a new metatronic element, namely, a metatronic transistor that functions as an amplifier. As shown by our analytical and numerical study here, this metatronic transistor provides a gain as well as isolation between the input and output ports of such 2-port device. The cascadability and fan-out aspects of this element are also explored. * To whom correspondence should be addressed. E-mail: engheta@ee.upenn.edu 2 The recent advances in metamaterial technology have provided us with unprecedented control over designing materials to achieve a wide range of properties [1][2][3]. The concept of lumped elements is very well established in the realms of electronics and microwave circuits. Extending these concepts to optical frequencies was at first challenging for a multitude of reasons. Firstly, to be considered a lumped element the size of the element should be significantly smaller than the operating wavelength and although this is easily achievable at low frequency and microwave frequencies it is far more challenging at optical frequencies, but this has been achieved using the technology of nanofabrication. Secondly, the material property for conductors (such as metals) is significantly different at optical frequencies compared to lower frequencies. This makes it challenging to easily switch between wave mode and circuit mode, which is fairly trivial at microwave frequencies due to the availability of efficient conductors, but in metatronics [4][5][6][7][8][9][10][11][12][13][14][15], which is a confluence of the plethora of well-established techniques in electronics transplanted into the much shorter wavelengths such as optical regimes [4][5][6][7], this issue has been dealt with using the displacement currents [6][7][11][12]. Thirdly, some of the well-developed active lumped elements in the radio frequency (rf) and microwave like semiconductor transistors and diodes may not, in principle, be extended exactly to optical frequencies due to the frequency limitation imposed on account of the finite effective mass of the charged carriers. Hence, the evident next stage in the evolution of the field of metatronics is to introduce active elements like transistors, diodes, amplifiers and oscillators.At microwave frequencies the systems consists of two broad categories of components apart from sources, the first one is the conduits that carry the energy in the 3 form of modes or waves. For the sake of abstraction, these conduits can be generally considered to be two-port (or multiple-port) structures such as waveguides or transmission lines. The second class of components represents the lumped elements, which could be single-port elements like loads and an...