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Condensed Matter Theory in the UIUC Physics Department

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1 Condensed Matter Theory in the UIUC Physics Department
Paul Goldbart Professors (11) Gordon Baym, David Ceperley, Y.-C. Chang, Eduardo Fradkin, Paul Goldbart, Nigel Goldenfeld, Tony Leggett, Richard Martin, Yoshi Oono, Philip Phillips, Michael Stone Asst. Prof. (1) Karin Dahmen One of the best and biggest, worldwide Strong, dynamic interactions with our experimentalists Core research at Seitz Materials Research Lab PhD students and postdocs very highly sought

2 What is Condensed Matter Physics?
Understanding emergent states of matter developing new concepts & strategies presents deep intellectual challenges spin-offs (neural nets, simulated annealing,…) cross-fertilization (e.g., with high-energy theory) Stream of thrilling recent discoveries (& Nobel Prizes) high-temperature superconductors, CMR materials, quantum Hall effects, quasicrystals, buckyballs, liquid crystals,… Long-term enabling of new technologies magnetic data storage, liquid crystal displays,… Not so much what we study but how we approach it

3 What does our Condensed Matter Theory Group do?
Superconductivity, superfluidity and BEC Strongly correlated Fermi systems Complex materials, novel materials Computational condensed matter physics Nanoscale physics, semiconductor physics Soft matter (polymers, gels, liquid crystals,…) Statistical physics (phase transitions, disorder,…) Nonequilibrium physics (pattern formation, turbulence, earthquakes, biophysics,…) Quantum information

4 Why has our Condensed Matter Theory Group been so successful?
World-class faculty Cutting-edge research programs Breadth and depth (critical-mass factor) Cohesiveness and collegiality (the Urbana spirit) Collective funding and hiring of postdocs (STCS, MRL/NSF, MRL/DOE, MCC, PQI,…) Collaboration with CM Experiment colleagues Interactions with many other College units: MRL, NCSA, Beckman, Microelectronics,ECE, MATSE, TAM, MIE, Chem. Eng., Chem., CSE,…

5 CMT Group’s main concerns
Maintaining our edge, competing with Harvard, Stanford, MIT,… faculty recruiting (e.g. Eugene Demler) graduate student recruiting (fellowships, competitive salaries) Space: adequate funds for move to Eng. Sci. Bldg. Computing and other infrastructure Supporting our CM Experiment colleagues (start-up costs, lab space) Postdoctoral fellowships

6 Vulcanized matter: What is it?
cross-linking end-linking Fluid system (macromolecules, molecules, atoms,…) Introduce permanent random constraints Cause phase transition to a new state: the amorphous solid state

7 Why study vulcanized matter?
Least complicated setting for random solid state phase transition to it Why the simplicity? equilibrium phenomenon, continuous transition universal properties (symmetries & length-scales) Simplified real glass Broad technological/biological relevance Intrinsic intellectual challenge

8 A few theoretical results
Transition to the amorphous solid state growth of localized fraction scaling and universality in distribution of localization lengths cf. simulations (Barsky & Plischke) nearly log-normal distrib. emergent elasticity

9 Some open issues Elementary origin of universal distrib. of loc. lengths (found elsewhere; connection with log-normal)? Ordered-state structure & elasticity beyond mean- field theory? Further connections with random resistor networks? Multifractality? Dynamics, especially of the ordered state? Connections with glasses? Experiments (Q/E INS; video imaging,…)?

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