Exploring quantum phase transitions with a sublattice entanglement scenario

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 22, 2006, Pages

  Chen, Yan ^a   Wang, Z D ^a   Zhang, F C ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745062865     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.224414     Document Type: Article

References (27)

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13. Let us consider the three-dimensional Anderson localization model, with H=- ijσ c iσ † cjσ + iσ i c iσ † ciσ. The disorder is incorporated into the diagonal parameter i, which changes randomly with a uniform distribution [-W2,W2] where W characterizes the strength of the disorder. We here examine the reduced entanglement and found clearly its monotonic decrease with respect to W, while its first derivative has a local minimum at Wc ∼16 (Wc is the critical disorder strength) which corresponds to a second-order metal-insulator transition, in excellent agreement the well-known result.
14. This feature implies that the reduced entropy of sublattice introduced by us is an extensive quantity just like the thermal entropy, which is distinctly from other entanglement measures proposed before and is a reason why it can play a similar role in QPTs as that played by the thermal entropy in thermodynamic phase transitions.
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24. Our hard-core bosons Hamiltonian reads H=-t ij (bi† bj + bj† bi) + ij V (ni - 1 2) (nj - 1 2) with the hopping integral t, nearest-neighboring repulsion V and the boson creation operator bi†. This model is equivalent to a spin-1/2 XXZ model, H= ij [- J0 (Six Sjx + Siy Sjy) + Jz Siz Sjz] with J0 =2t and Jz =V. We use the same technique to analyze the reduced entropy and found a local maxima at Jz J0 ∼10 which may correspond to a possible first-order superfluid to supersolid transition. It is clear that in the large Jz (V) limit, a novel supersolid phase may show up due to the remarkable geometrical frustration.
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27. The tendency has been observed clearly in all 1D models studied by us with the available computational resources.