Research Projects by Subject

Note: Each research project will involve background reading for the interns provided by their mentors. Each research project will involve a final presentation by the interns.

Interns are expected to work collaboratively on the same project and/or data set. This may preclude rising seniors from submitting papers based on such projects to the Intel Science Talent Search competition.

Physics

Code Research Project Descriptions
PHY-01 Title: Graph Theoretical Search for Magnetic Properties
Primary mentor: Michael Saccone
Faculty advisor: Prof. Onuttom Narayan
Location: UCSC Main Campus
Number of interns: 3

Project description: New behaviors in condensed matter systems often result from the consideration of new microscopic structures. A simple example of these are geometrically frustrated systems. If three bar magnets are place on the corners of an equilateral triangle, the first two may align head to tail to minimize energy. In choosing to align with one, the third magnet does not align with the other, making either state "frustrating." Extending this to a system of triangles or even more complex arrangements of magnets can cause interesting properties to emerge, such as states mimicking magnetic monopoles and frequency depedent magnetization. As opposed to seeking to explain these properties as they emerge, graph theory provides a tool to design structures that generate desired properties. This project will leverage graph theoretical  and computer simulation techniques to extend analysis of existing magnetic materials and hypothesize magnetic structures with novel emergent properties.

Tasks: SIP interns will receive a rigorous introduction to practical concepts in Matlab programming, Monte Carlo simulation, and practical graph theory. Equipped with the appropriate tools, SIP interns will then survey the literature to determine what structure connected to what physical system may be better understood through graph based models. The SIP interns will craft numerical simulations to understand those systems.

Required skills for interns prior to acceptance: Computer programming; Exposure to Calculus or Above
Skills intern(s) will acquire/hone: Computer programming
Program Week Number: 1 2 3 4 5 6 7 8 9 10
Mentor's availability: ON ON ON REM REM ON ON ON ON ON