Theory of the d-density wave from a vertex model and its implications

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 22, 2002, Pages 2245051-2245059

  Chakravarty, Sudip ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONDUCTANCE; ELECTRON; GAS; HEAT; HIGH TEMPERATURE; LOW TEMPERATURE; MOLECULAR MODEL; PHASE TRANSITION; QUANTUM MECHANICS; QUANTUM THEORY; TEMPERATURE DEPENDENCE; THERMAL ANALYSIS;

EID: 0036972106     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

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27. An alternative quantum generalization would be to follow C. Nayak and K. Shtengel [Phys. Rev. B 64, 064422 (2001)]. In this approach (also pointed out to me by C. L. Henley and S. L. Sondhi), one recognizes that the kinetic energy term is a plaquette operator that flips the currents around a flippable plaquette (as is also the case in the eight-vertex approach). But to this we can add a suitable set of potential energy terms that describe the energetics of the PDW and DDW states. Thus the quantum phase transition in the ground state will be between a DDW state, with many flippable plaquettes, to a PDW state, with no flippable plaquettes. In this alternative approach, the quantum phase transition would be very similar to the quantum dimer model exhibiting a transition between an ordered state with many flippable plaquettes to the ordered valence bond crystal state with no flippable plaquettes (Ref. 9). This is also a possible, but I feel unlikely, alternative in the eight-vertex approach taken in the main part of the text. Some care is necessary for setting up the parallel with the quantum dimer model, however: (a) the number of states in the dimer model is 4 not 6. (b) The time reversal symmetry is broken in the DDW state, but not in the dimer model. As of of this moment, I have been unable to construct a precise Hamiltonian in this manner, which reduces exactly to the six-vertex model in the classical limit, but I have no doubts that it could be done.
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