Chin. Phys. Lett.  2009, Vol. 26 Issue (2): 026401    DOI: 10.1088/0256-307X/26/2/026401
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Density-Functional Fidelity Approach to Quantum Phase Transitions
GU Shi-Jian

Department of Physics and ITP, The Chinese University of Hong Kong, Hong Kong
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GU Shi-Jian 2009 Chin. Phys. Lett. 26 026401
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Abstract

We propose a new approach to quantum phase transitions in terms of the density-functional fidelity, which measures the similarity between density distributions of two ground states in parameter space. The key feature of the approach is such that the density-functional fidelity can be measured easily in experiments. Both the validity and versatility of the approach are checked by the Lipkin-Meshkov-Glick model and the one-dimensional Hubbard model.

Keywords: 64.60.-i      71.15.Mb      75.10.Jm      71.10.Fd     
Received: 24 September 2008      Published: 20 January 2009
PACS:  64.60.-i (General studies of phase transitions)  
  71.15.Mb (Density functional theory, local density approximation, gradient and other corrections)  
  75.10.Jm (Quantized spin models, including quantum spin frustration)  
  71.10.Fd (Lattice fermion models (Hubbard model, etc.))  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/2/026401       OR      https://cpl.iphy.ac.cn/Y2009/V26/I2/026401
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GU Shi-Jian
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