The Green Function Variational Approximation: Significance of Physical Constraints

• Authors: K. Bieniasz , M. Berciu , A. Oleś
• Languages of publication: EN

Abstracts

EN

We present a calculation of the spectral properties of a single charge doped at a Cu(3d) site of the Cu-F plane in KCuF₃. The problem is treated by generating the equations of motion for the Green function by means of subsequent Dyson expansions and solving the resulting set of equations. This method, dubbed the variational approximation, is both very dependable and flexible, since it is a systematic expansion with precise control over elementary physical processes. It allows for deep insight into the underlying physics of polaron formation as well as for inclusion of many physical constraints, such as excluding crossing diagrams and double occupation constraint, which are not included in the self-consistent Born approximation. Here we examine the role and importance of such constraints by analyzing various spectral functions obtained in second order variational approximation.

Keywords

EN

75.25.Dk; 03.65.Ud; 75.10.Lp; 79.60.-i

Discipline

• 03.65.Ud: Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)(for entanglement production and manipulation, see 03.67.Bg; for entanglement measures, witnesses etc., see 03.67.Mn; for entanglement in Bose-Einstein condensates, see 03.75.Gg)
• 79.60.-i: Photoemission and photoelectron spectra(for photoelectron spectroscopy, see 87.64.ks in biological physics; 82.80.Pv in chemical analysis)
• 75.25.Dk: Orbital, charge, and other orders, including coupling of these orders
• 75.10.Lp: Band and itinerant models

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 2
• Pages: 659-663

Dates

published

2016-08

Contributors

author

K. Bieniasz

• Marian Smoluchowski Institute of Physics, Jagiellonian University, S. Łojasiewicza 11, PL-30-348 Kraków, Poland
• Department of Physics and Astronomy, University of British Columbia, Vancouver BC, Canada V6T 1Z1
• Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver BC, Canada V6T 1Z4

author

M. Berciu

• Department of Physics and Astronomy, University of British Columbia, Vancouver BC, Canada V6T 1Z1
• Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver BC, Canada V6T 1Z4

author

A. Oleś

• Marian Smoluchowski Institute of Physics, Jagiellonian University, S. Łojasiewicza 11, PL-30-348 Kraków, Poland
• Max-Planck-Institut für Festkörperforschung, Heisenbergstr. 1, D-70569 Stuttgart, Germany

References

• [1] G. Khaliullin, Prog. Theor. Phys. Suppl. 160, 155 (2005), doi: 10.1143/PTPS.160.155
• [2] A.J.W. Reitsma, L.F. Feiner, A.M. Oleś, New J. Phys. 7, 121 (2005), doi: 10.1088/1367-2630/7/1/121
• [3] P. Wróbel, A.M. Oleś, Phys. Rev. Lett. 104, 206401 (2010), doi: 10.1103/PhysRevLett.104.206401
• [4] W. Brzezicki, A.M. Oleś, M. Cuoco, Phys. Rev. X 5, 011037 (2015), doi: 10.1103/PhysRevX.5.011037
• [5] G. Martínez, P. Horsch, Phys. Rev. B 44, 317 (1991), doi: 10.1103/PhysRevB.44.317
• [6] S.A. Trugman, Phys. Rev. B 37, 1597 (1988), doi: 10.1103/PhysRevB.37.1597
• [7] J. van den Brink, P. Horsch, A.M. Oleś, Phys. Rev. Lett. 85, 5174 (2000), doi: 10.1103/PhysRevLett.85.5174
• [8] M. Daghofer, K. Wohlfeld, A.M. Oleś, E. Arrigoni, P. Horsch, Phys. Rev. Lett. 100, 066403 (2008), doi: 10.1103/PhysRevLett.100.066403
• [9] L.F. Feiner, A.M. Oleś, Phys. Rev. B 71, 144422 (2005), doi: 10.1103/PhysRevB.72.144422
• [10] M. Berciu, H. Fehske, Phys. Rev. B 84, 165104 (2011), doi: 10.1103/PhysRevB.84.165104
• [11] F. Trousselet, M. Berciu, A.M. Oleś, P. Horsch, Phys. Rev. Lett. 111, 037205 (2013), doi: 10.1103/PhysRevLett.111.037205
• [12] H. Ebrahimnejad, G.A. Sawatzky, M. Berciu, Nat. Phys. 10, 951 (2014), doi: 10.1038/nphys3130
• [13] K. Bieniasz, A.M. Oleś, Phys. Rev. B 94, 085117 (2016), doi: 10.1103/PhysRevB.94.085117
• [14] K. Bieniasz, A.M. Oleś, Phys. Rev. B 88, 115132 (2013), doi: 10.1103/PhysRevB.88.115132
• [14a] K. Bieniasz, A.M. Oleś, Acta Phys. Pol. A 126, A-80 (2014), doi: 10.12693/APhysPolA.126.A-80
• [15] K. Bieniasz, A.M. Oleś, Acta Phys. Pol. A 127, 269 (2015)9, doi: 10.12693/APhysPolA.127.26
• [16] L. Cincio, J. Dziarmaga, A.M. Oleś, Phys. Rev. B 82, 104416 (2010), doi: 10.1103/PhysRevB.82.104416

Identifiers

DOI

10.12693/APhysPolA.130.659