Quick search Find article
Quick search
Find article

The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results

REVIEW ARTICLE

Axel Gelfert1,2 and Wolfgang Nolting1

Show affiliations


TOPICAL REVIEW

After a brief discussion of the Bogoliubov inequality and possible generalizations thereof, we present a complete review of results concerning the Mermin-Wagner theorem for various many-body systems, geometries and order parameters. We extend the method to cover magnetic phase transitions in the periodic Anderson model as well as certain superconducting pairing mechanisms for Hubbard films. The relevance of the Mermin-Wagner theorem to approximations in many-body physics is discussed on a conceptual level.


PACS

75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)

71.10.Fd Lattice fermion models (Hubbard model, etc.)

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 27 (9 July 2001)

Received 3 May 2001

Published 22 June 2001



  1. The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results

    Axel Gelfert and Wolfgang Nolting 2001 J. Phys.: Condens. Matter 13 R505

  2. Implicit solutions of PDEs

    D B Fairlie 2004 J. Phys. A: Math. Gen. 37 5375

  3. PHENIX studies of the scaling properties of elliptic flow at RHIC

    A Taranenko (for the PHENIX Collaboration) 2007 J. Phys. G: Nucl. Part. Phys. 34 S1069

  4. Lifetime interference effect on the angular distribution of the Auger electron emission following resonant Auger decay from 2pto4s photoexcited Ar

    K Ueda et al 1999 J. Phys. B: At. Mol. Opt. Phys. 32 L291

  5. Magnetic transport in a straight parabolic channel

    P Exner et al 2001 J. Phys. A: Math. Gen. 34 9733

  6. Results from the first burst hardware injections performed on GEO 600

    R Balasubramanian et al 2005 Class. Quantum Grav. 22 3015

  7. Charge transfer and crystal-field theory for rare-earth ions

    B R Judd 1980 J. Phys. C: Solid State Phys. 13 2695

  8. A local potential for the Weyl tensor in all dimensions

    S Brian Edgar and José M M Senovilla 2004 Class. Quantum Grav. 21 L133

  9. Multiple template-based fluoroscopic tracking of lung tumor mass without implanted fiducial markers

    Ying Cui et al 2007 Phys. Med. Biol. 52 6229

  10. The miscibility gap of InxGa1−xSbyAs1−y alloys

    V A Elyukhin et al 2004 J. Phys.: Condens. Matter 16 S2211

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Ordering, metastability and phase transitions in two-dimensional systems

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.