NEAREST-NEIGHBOR INTERACTION;
BOND GROUND-STATES;
EDGE EXCITATIONS;
SCREENING CLOUD;
SCALING THEORY;
KONDO PROBLEM;
HALL STATES;
TRANSPORT;
CHAINS;
MODEL;
D O I:
10.1088/1751-8113/42/50/504009
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
We review research on a number of situations where a quantum impurity or a physical boundary has an interesting effect on entanglement entropy. Our focus is mainly on impurity entanglement as it occurs in one-dimensional systems with a single impurity or a boundary, in particular quantum spin models, but generalizations to higher dimensions are also reviewed. Recent advances in the understanding of impurity entanglement as it occurs in the spin-boson and Kondo impurity models are discussed along with the influence of boundaries. Particular attention is paid to (1 + 1)-dimensional models where analytical results can be obtained for the case of conformally invariant boundary conditions and a connection to topological entanglement entropy is made. New results for the entanglement in systems with mixed boundary conditions are presented. Analytical results for the entanglement entropy obtained from Fermi liquid theory are also discussed as well as several different recent definitions of the impurity contribution to the entanglement entropy.
机构:
Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
JARA Fundamentals Future Informat Technol, D-52056 Aachen, GermanyRhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
Kennes, D. M.
Meden, V.
论文数: 0引用数: 0
h-index: 0
机构:
Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
JARA Fundamentals Future Informat Technol, D-52056 Aachen, GermanyRhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
Meden, V.
Vasseur, R.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Mat Sci, Berkeley, CA 94720 USARhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
机构:
CEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
CENS, Lab Leon Brillouin, CNRS, URA2306, F-91191 Gif Sur Yvette, FranceCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
Saleur, H.
Schmitteckert, P.
论文数: 0引用数: 0
h-index: 0
机构:
Karlsruhe Inst Technol, Inst Nanotechnol, D-76344 Eggenstein Leopoldshafen, GermanyCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
Schmitteckert, P.
Vasseur, R.
论文数: 0引用数: 0
h-index: 0
机构:
CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
LPTENS, F-75231 Paris, FranceCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
机构:
UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Bayat, Abolfazl
Johannesson, Henrik
论文数: 0引用数: 0
h-index: 0
机构:
Univ Gothenburg, Dept Phys, SE-41296 Gothenburg, SwedenUCL, Dept Phys & Astron, London WC1E 6BT, England
Johannesson, Henrik
Bose, Sougato
论文数: 0引用数: 0
h-index: 0
机构:
UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Bose, Sougato
Sodano, Pasquale
论文数: 0引用数: 0
h-index: 0
机构:
Univ Fed Rio Grande do Norte, Int Inst Phys, BR-59078400 Natal, RN, Brazil
Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59072970 Natal, RN, Brazil
Ist Nazl Fis Nucl, Sez Perugia, I-06123 Perugia, ItalyUCL, Dept Phys & Astron, London WC1E 6BT, England
机构:
Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
JARA Fundamentals Future Informat Technol, D-52056 Aachen, GermanyRhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
Kennes, D. M.
Meden, V.
论文数: 0引用数: 0
h-index: 0
机构:
Rhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
JARA Fundamentals Future Informat Technol, D-52056 Aachen, GermanyRhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
Meden, V.
Vasseur, R.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Mat Sci, Berkeley, CA 94720 USARhein Westfal TH Aachen, Inst Theorie Stat Phys, D-52056 Aachen, Germany
机构:
CEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
CENS, Lab Leon Brillouin, CNRS, URA2306, F-91191 Gif Sur Yvette, FranceCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
Saleur, H.
Schmitteckert, P.
论文数: 0引用数: 0
h-index: 0
机构:
Karlsruhe Inst Technol, Inst Nanotechnol, D-76344 Eggenstein Leopoldshafen, GermanyCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
Schmitteckert, P.
Vasseur, R.
论文数: 0引用数: 0
h-index: 0
机构:
CEA Saclay, Inst Phys Theor, F-91191 Gif Sur Yvette, France
LPTENS, F-75231 Paris, FranceCEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France
机构:
UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Bayat, Abolfazl
Johannesson, Henrik
论文数: 0引用数: 0
h-index: 0
机构:
Univ Gothenburg, Dept Phys, SE-41296 Gothenburg, SwedenUCL, Dept Phys & Astron, London WC1E 6BT, England
Johannesson, Henrik
Bose, Sougato
论文数: 0引用数: 0
h-index: 0
机构:
UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Bose, Sougato
Sodano, Pasquale
论文数: 0引用数: 0
h-index: 0
机构:
Univ Fed Rio Grande do Norte, Int Inst Phys, BR-59078400 Natal, RN, Brazil
Univ Fed Rio Grande do Norte, Dept Fis Teor & Expt, BR-59072970 Natal, RN, Brazil
Ist Nazl Fis Nucl, Sez Perugia, I-06123 Perugia, ItalyUCL, Dept Phys & Astron, London WC1E 6BT, England