Axel Gelfert and Wolfgang Nolting 2001 J. Phys.: Condens. Matter 13 R505 doi:10.1088/0953-8984/13/27/201
The absence of finite-temperature phase transitions in low-dimensional many-body models: a survey and new results
REVIEW ARTICLEAxel Gelfert1,2 and Wolfgang Nolting1
Show affiliationsTOPICAL 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
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75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
- Subjects
- Dates
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Issue 27 (9 July 2001)
Received 3 May 2001
Published 22 June 2001
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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
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