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Q1/1: Strongly correlated systems of fermions

Principal Investigators: Gies, Bechstedt, Wipf

All to date known matter in nature has fermionic origins. In particular strongly correlated fermions are the cause of a multitude of physical phenomena in quantum as well as statistical systems.

further information (german)

Examples of Ph.D. topics

  1. Quantum phase transitions in 3d relativistic fermion systems
  2. Phase structure of ultracold atomic gases with uneven spin density
  3. Chiral dynamic and phase structure of the QCD


L. Janssen, H. Gies
Critical behavior of the (2+1)-dimensional Thirring model
Phys. Rev. D 86 (2012) 105007, arXiv:1208.3327 [hep-th], Aug 2012

D. Scherer, H. Gies
Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
Phys. Rev. B 85, 195417 (2012) arXiv:1201.3746 [cond-mat.str-el], Jan 2012

J. Braun, H. Gies, D. Scherer
Asymptotic safety: a simple example.
Phys.Rev. D83, 085012,(2011) arXiv:1011.1456v1 [hep-th], Nov 2010

M. Scherer, S. Floerchinger, H. Gies
Functional renormalization for the BCS-BEC crossover
Phil. Trans. R. Soc. A  369, 2779 (2011), arXiv:1010.2890v1 [cond-mat.quant-gas], Oct 2010

H. Gies, L. Janssen
UV fixed-point structure of the three-dimensional Thirring model
Phys. Rev. D 82, 085018 (2010), arXiv:1006.3747v1 [hep-th]

S. Floerchinger, M. Scherer, C. Wetterich
Modified Fermi-sphere, pairing gap and critical temperature for the BCS-BEC crossover
Phys. Rev. A 81, 063619 (2010), arXiv:0912.4050 [cond-mat.quant-gas]

H. Gies, L. Janssen, S. Rechenberger, M. Scherer
Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
Phys. Rev. D 81, 025009 (2010), arXiv:0910.0764 [hep-th]

H. Gies, S. Rechenberger, M. M. Scherer
Towards an Asymptotic-Safety Scenario for Chiral Yukawa Systems
Eur.Phys.J. C66 (2010) 403-418, arXiv: 0907.0327 [hep-th], Jul 2009

M. Scherer, H. Gies, S. Rechenberger
An Asymptotic-safety mechanism for chiral Yukawa systems
Acta Phys.Polon.Supp.2:541 (2009), arXiv:0910.0395 [hep-th]