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Competing orders in the Dirac-like electronic structure and the nonlinear sigma model with a topological term

Phys. Rev. B 85, 075111 (2012) [9 pages]                                        

The Dirac-like electronic structure can host a large number of competing orders in the form of mass terms. In particular, two different order parameters can be said to be dual to each other, when a static defect in one of them traps a quantum number (or “charge”) of the other. We discuss that such complementary nature of the pair of the order parameters shows up in their correlation functions and dynamical properties when a quantum phase transition is driven by fluctuations of the one of the order parameters. Approaching the transition from the disordered (paramagnetic) side, the order parameter correlation function at the critical point is reduced, while such fluctuations enhance the correlation of the dual order parameter. Such complementary behaviors in the correlation function can be used to diagnose the nature of quantum fluctuations that is the driving force of the quantum phase transition.

 

 

ICMT Scheduled Visitors

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  • Yang-Yu Liu, Center for Complex Network Research (CCNR) at Northeastern University; and Center for Cancer Systems Biology (CCSB) at Dana-Farber Cancer Institute. May 2013

 

  • Srividya Iyer - Biswas (University of Chicago) 2012-2013
  • Jordi Baro' (Universitat de Barcelona) September-November 2013

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  • Congratulations to Eduardo Fradkin, elected to the National Academy of Sciences   Read More

  • Physics Illinois takes great pride in the dedication, professionalism, and plain hard work of the scholars that meet one of our core missions—teaching. Each semester, the University's Center for Teaching Excellence polls our toughest critics—the students who take Physics classes—and asks them to assess the skills and effectiveness of their teachers. Only the very best make this list.

    FALL 2012 SEMESTER
    *denotes "outstanding" rating

    Excellent Teacher Assistants from ICMT

    Antonaglia, James, Physics 102
    Benalcazar, Wladimir, Physics 435
    Han, Bo, Physics 211
    *Hegg, Anthony, Physics 100, 222
    Khan, Mayukh, Physics 212
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