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Volumn 247, Issue 1, 2004, Pages 1-47

A two dimensional fermi liquid. Part 1: Overview

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EID: 2542562163     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0996-0     Document Type: Review
Times cited : (64)

References (41)
  • 1
    • 3343012000 scopus 로고
    • Luttinger-liquid behavior of the normal metallic state of the 2D hubbard model
    • [A1]
    • [A1] Anderson, P.W.: Luttinger-liquid behavior of the normal metallic state of the 2D Hubbard model. Phys. Rev. Lett. 64, 1839-1841 (1990)
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1839-1841
    • Anderson, P.W.1
  • 2
    • 4243203845 scopus 로고
    • Singular forward scattering in the 2D Hubbard model and a renormalized Bethe Ansatz ground state
    • [A2]
    • [A2] Anderson, P.W.: Singular forward scattering in the 2D Hubbard model and a renormalized Bethe Ansatz ground state. Phys. Rev. Lett. 65, 2306-2308 (1990)
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 2306-2308
    • Anderson, P.W.1
  • 5
    • 0003311550 scopus 로고
    • Renormalization group
    • [BG], Princeton, NJ: Princeton University Press
    • [BG] Benfatto, G., Gallavotti, G.: Renormalization Group. Physics Notes. Vol. 1, Princeton, NJ: Princeton University Press, 1995
    • (1995) Physics Notes , vol.1
    • Benfatto, G.1    Gallavotti, G.2
  • 6
    • 51649193832 scopus 로고
    • Number of feynman diagrams and convergence
    • [C]
    • [C] Caianello, E.R.: Number of Feynman Diagrams and Convergence. Nuovo Cimento 3, 223-225 (1956)
    • (1956) Nuovo Cimento , vol.3 , pp. 223-225
    • Caianello, E.R.1
  • 7
    • 0035537081 scopus 로고    scopus 로고
    • Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent contributions
    • [DMR]
    • [DMR] Disertori, M., Magnen, J. Rivasseau, V.: Interacting Fermi liquid in three dimensions at finite temperature: Part I: Convergent Contributions. Ann. Henri Poincaré 2, 733-806 (2001)
    • (2001) Ann. Henri Poincaré , vol.2 , pp. 733-806
    • Disertori, M.1    Magnen, J.2    Rivasseau, V.3
  • 8
    • 0034349542 scopus 로고    scopus 로고
    • Interacting Fermi liquid in two dimensions at finite temperature. Part I: Convergent attributions
    • [DR1]
    • [DR1] Disertori, M., Rivasseau, V.: Interacting Fermi liquid in two dimensions at finite temperature. Part I: Convergent Attributions. Commun. Math. Phys. 215, 251-290 (2000)
    • (2000) Commun. Math. Phys. , vol.215 , pp. 251-290
    • Disertori, M.1    Rivasseau, V.2
  • 9
    • 0034349543 scopus 로고    scopus 로고
    • Interacting Fermi liquid in two dimensions at finite temperature. Part II: Renormalization
    • [DR2]
    • [DR2] Disertori, M., Rivasseau, V.: Interacting Fermi liquid in two dimensions at finite temperature. Part II: Renormalization. Commun. Math. Phys. 215, 291-341 (2000)
    • (2000) Commun. Math. Phys. , vol.215 , pp. 291-341
    • Disertori, M.1    Rivasseau, V.2
  • 10
    • 0000481443 scopus 로고
    • Fermi Liquids in Two-space Dimensions
    • [FKLT1]. Constructive Physics, V. Rivasseau, ed., Berlin-Heidelberg-New York: Springer Verlag
    • [FKLT1] Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E.: Fermi Liquids in Two-Space Dimensions. In: Constructive Physics, V. Rivasseau, ed., Springer Lecture Notes in Physics 446, Berlin-Heidelberg-New York: Springer Verlag, 1995, pp. 267-300
    • (1995) Springer Lecture Notes in Physics , vol.446 , pp. 267-300
    • Feldman, J.1    Knörrer, H.2    Lehmann, D.3    Trubowitz, E.4
  • 12
    • 2542642182 scopus 로고    scopus 로고
    • A class of fermi liquids
    • [FKLT3], G. Semenoff, L. Vinet, eds., CRM Series in Mathematical Physics. New York: Springer-Verlag
    • [FKLT3] Feldman, J., Knörrer, H., Lehmann, D., Trubowitz, E.: A Class of Fermi Liquids. In: Particles and Fields, G. Semenoff, L. Vinet, eds., CRM Series in Mathematical Physics. New York: Springer-Verlag, 1999, pp. 35-62
    • (1999) Particles and Fields , pp. 35-62
    • Feldman, J.1    Knörrer, H.2    Lehmann, D.3    Trubowitz, E.4
  • 13
    • 0039372634 scopus 로고    scopus 로고
    • Asymmetric fermi surfaces for magnetic schrödinger operators
    • [FKTa]
    • [FKTa] Feldman, J., Knörrer, H., Trubowitz, E.: Asymmetric Fermi Surfaces for Magnetic Schrödinger Operators. Commun. Partial Differ.Eq. 25, 319-336 (2000)
    • (2000) Commun. Partial Differ. Eq. , vol.25 , pp. 319-336
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 14
    • 22044455403 scopus 로고    scopus 로고
    • A nonperturbative representation for fermionic correlation functions
    • [FKTcf]
    • [FKTcf] Feldman, J., Knörrer, H., Trubowitz, E.: A Nonperturbative Representation for Fermionic Correlation Functions. Commun. Math. Phys. 195, 465-493 (1998)
    • (1998) Commun. Math. Phys. , vol.195 , pp. 465-493
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 15
    • 2542511759 scopus 로고    scopus 로고
    • A two dimensional fermi liquid, Part 2: Convergence
    • [FKTf2]
    • [FKTf2] Feldman, J., Knörrer, H., Trubowitz. E.: A Two Dimensional Fermi Liquid, Part 2: Convergence. Commun. Math. Phys. 247, 49-111 (2004)
    • (2004) Commun. Math. Phys. , vol.247 , pp. 49-111
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 16
    • 2542620017 scopus 로고    scopus 로고
    • A two dimensional fermi liquid, Part 3: The fermi surface
    • [FKTf3]
    • [FKTf3] Feldman, J., Knörrer, H., Trubowitz, E.: A Two Dimensional Fermi Liquid, Part 3: The Fermi Surface. Commun. Math. Phys. 247, 113-177 (2004)
    • (2004) Commun. Math. Phys. , vol.247 , pp. 113-177
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 17
    • 0037677799 scopus 로고    scopus 로고
    • Fermionic functional integrals and the renormalization group
    • [FKTffi], American Mathematical Society
    • [FKTffi] Feldman, J., Knörrer, H., Trubowitz, E.: Fermionic Functional Integrals and the Renormalization Group, CRM Monograph Series 16, American Mathematical Society (2002)
    • (2002) CRM Monograph Series , vol.16
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 19
    • 0742271105 scopus 로고    scopus 로고
    • Single scale analysis of many fermion systems, Part 1: Insulators
    • [FKTo1]
    • [FKTo1] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 1: Insulators. Rev. Math. Phys. 15, 949-993 (2003)
    • (2003) Rev. Math. Phys. , vol.15 , pp. 949-993
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 20
    • 0742271102 scopus 로고    scopus 로고
    • Single scale analysis of many fermion systems, Part 2: The first scale
    • [FKTo2]
    • [FKTo2] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 2: The First Scale. Rev. Math. Phys. 15, 995-1037 (2003)
    • (2003) Rev. Math. Phys. , vol.15 , pp. 995-1037
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 21
    • 0742305825 scopus 로고    scopus 로고
    • Single scale analysis of many fermion systems, Part 3: Sectorized norms
    • [FKTo3]
    • [FKTo3] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 3: Sectorized Norms. Rev. Math. Phys. 15, 1039-1120 (2003)
    • (2003) Rev. Math. Phys. , vol.15 , pp. 1039-1120
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 22
    • 0742288534 scopus 로고    scopus 로고
    • Single scale analysis of many fermion systems, Part 4: Sector counting
    • [FKTo4]
    • [FKTo4] Feldman, J., Knörrer, H., Trubowitz, E.: Single Scale Analysis of Many Fermion Systems, Part 4: Sector Counting. Rev. Math. Phys. 15, 1121-1169 (2003)
    • (2003) Rev. Math. Phys. , vol.15 , pp. 1121-1169
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 23
    • 2542615411 scopus 로고    scopus 로고
    • Convergence of perturbation expansions in fermionic models, Part 1: Nonperturbative bounds
    • [FKTr1]
    • [FKTr1] Feldman, J., Knörrer, H., Trubowitz, E.: Convergence of Perturbation Expansions in Fermionic Models, Part 1: Nonperturbative Bounds. Commun. Math. Phys. 247, 195-242 (2004)
    • (2004) Commun. Math. Phys. , vol.247 , pp. 195-242
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 24
    • 2542591064 scopus 로고    scopus 로고
    • Convergence of perturbation expansions in fermionic models, Part 2: Overlapping loops
    • [FKTr2]
    • [FKTr2] Feldman, J., Knörrer, H., Trubowitz, E.: Convergence of Perturbation Expansions in Fermionic Models, Part 2: Overlapping Loops. Commun. Math. Phys. 247, 243-319 (2004)
    • (2004) Commun. Math. Phys. , vol.247 , pp. 243-319
    • Feldman, J.1    Knörrer, H.2    Trubowitz, E.3
  • 25
    • 0001299812 scopus 로고
    • An infinite volume expansion for many fermion green's functions
    • [FMRT]
    • [FMRT] Feldman, J., Magnen, J., Rivasseau, V., Trubowitz, E.: An Infinite Volume Expansion for Many Fermion Green's Functions. Helv. Phys. Acta. 65, 679-721 (1992)
    • (1992) Helv. Phys. Acta. , vol.65 , pp. 679-721
    • Feldman, J.1    Magnen, J.2    Rivasseau, V.3    Trubowitz, E.4
  • 26
    • 0030510182 scopus 로고    scopus 로고
    • Perturbation theory around non-nested fermi surfaces, I. Keeping the Fermi Surface fixed
    • [FST1]
    • [FST1] Feldman, J., Salmhofer, M., Trubowitz, E.: Perturbation Theory around Non-Nested Fermi Surfaces, I. Keeping the Fermi Surface fixed. J. Stat. Phys. 84, 1209-1336 (1996)
    • (1996) J. Stat. Phys. , vol.84 , pp. 1209-1336
    • Feldman, J.1    Salmhofer, M.2    Trubowitz, E.3
  • 27
    • 0032394166 scopus 로고    scopus 로고
    • Regularity of the moving fermi surface: RPA contributions
    • [FST2]
    • [FST2] Feldman, J., Salmhofer, M., Trubowitz, E.: Regularity of the Moving Fermi Surface: RPA Contributions. Commun. Pure and Appl. Math. LI, 1133-1246 (1998)
    • (1998) Commun. Pure and Appl. Math. , vol.51 , pp. 1133-1246
    • Feldman, J.1    Salmhofer, M.2    Trubowitz, E.3
  • 28
    • 0033477807 scopus 로고    scopus 로고
    • Regularity of interacting nonspherical fermi surfaces: The full self-energy
    • [FST3]
    • [FST3] Feldman, J., Salmhofer, M., Trubowitz, E.: Regularity of Interacting Nonspherical Fermi Surfaces: The Full Self-Energy. Commun. Pure and Appl. Math. LII, 273-324 (1999)
    • (1999) Commun. Pure and Appl. Math. , vol.52 , pp. 273-324
    • Feldman, J.1    Salmhofer, M.2    Trubowitz, E.3
  • 31
    • 0000345412 scopus 로고
    • New mechanism for superconductivity
    • [KL]
    • [KL] Kohn, W., Luttinger, J.M.: New Mechanism for Superconductivity. Phys. Rev. Lett. 15, 524-526 (1965)
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 524-526
    • Kohn, W.1    Luttinger, J.M.2
  • 32
    • 0000304363 scopus 로고
    • New mechanism for superconductivity
    • [L]
    • [L] Luttinger, J.M.: New Mechanism for Superconductivity. Phys. Rev. 150, 202-214 (1966)
    • (1966) Phys. Rev. , vol.150 , pp. 202-214
    • Luttinger, J.M.1
  • 33
    • 0000311199 scopus 로고
    • The theory of a fermi liquid
    • [L1]
    • [L1] Landau, L.D.: The Theory of a Fermi Liquid. Sov. Phys. JETP 3, 920 (1956)
    • (1956) Sov. Phys. JETP , vol.3 , pp. 920
    • Landau, L.D.1
  • 34
    • 0000925238 scopus 로고
    • Oscillations in a fermi liquid
    • [L2]
    • [L2] Landau, L.D.: Oscillations in a Fermi Liquid. Sov. Phys. JETP 5, 101 (1957)
    • (1957) Sov. Phys. JETP , vol.5 , pp. 101
    • Landau, L.D.1
  • 35
    • 0002698003 scopus 로고
    • On the theory of the fermi liquid
    • [L3]
    • [L3] Landau, L.D.: On the Theory of the Fermi Liquid. Sov. Phys. JETP 8, 70 (1959)
    • (1959) Sov. Phys. JETP , vol.8 , pp. 70
    • Landau, L.D.1
  • 36
    • 0003218225 scopus 로고
    • A single scale infinite volume expansion for three-dimensional many fermion green's functions
    • [MR]
    • [MR] Magnen, J., Rivasseau, V.: A Single Scale Infinite Volume Expansion for Three-Dimensional Many Fermion Green's Functions. Math. Phys. Electronic Journal 1, 3 (1995)
    • (1995) Math. Phys. Electronic Journal , vol.1 , pp. 3
    • Magnen, J.1    Rivasseau, V.2
  • 37
    • 0032072875 scopus 로고    scopus 로고
    • Fermi systems with strong forward scattering
    • [MCD]
    • [MCD] Metzner, W., Castellani, C., Di Castro, C.: Fermi Systems with Strong Forward Scattering. Adv. Phys. 47, 317-445 (1998)
    • (1998) Adv. Phys. , vol.47 , pp. 317-445
    • Metzner, W.1    Castellani, C.2    Di Castro, C.3
  • 41
    • 0032094612 scopus 로고    scopus 로고
    • Continuous renormalization for fermions and fermi liquid theory
    • [S]
    • [S] Salmhofer, M.: Continuous renormalization for Fermions and Fermi liquid theory. Commun. Math. Phys. 194, 249-295 (1998)
    • (1998) Commun. Math. Phys. , vol.194 , pp. 249-295
    • Salmhofer, M.1


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