SCOPUS 정보 검색 플랫폼

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 19, 2009, Pages

Exact diagonalization study of the antiferromagnetic spin- 1 2 Heisenberg model on the square lattice in a magnetic field

(2) Lüscher, Andreas a Läuchli, Andreas M b

a INSTITUT ROMAND DE RECHERCHE NUMÉRIQUE EN PHYSIQUE DES MATÉRIAUX IRRMA (Switzerland)

b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65649138848 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.79.195102 Document Type: Article

Times cited : (85)

References (54)

1
- 0002034728
- 10.1103/RevModPhys.63.1
- E. Manousakis, Rev. Mod. Phys. 63, 1 (1991). 10.1103/RevModPhys.63.1
- (1991) Rev. Mod. Phys. , vol.63 , pp. 1
- Manousakis, E.¹

2
- 0000360949
- 10.1142/S0129183191000949
- T. Barnes, Int. J. Mod. Phys. C 2, 659 (1991). 10.1142/S0129183191000949
- (1991) Int. J. Mod. Phys. C , vol.2 , pp. 659
- Barnes, T.¹

3
- 0000071317
- 10.1103/PhysRevLett.58.2802
- D. Vaknin, S. K. Sinha, D. E. Moncton, D. C. Johnston, J. M. Newsam, C. R. Safinya, and H. E. King, Jr., Phys. Rev. Lett. 58, 2802 (1987). 10.1103/PhysRevLett.58.2802
- (1987) Phys. Rev. Lett. , vol.58 , pp. 2802
- Vaknin, D.¹ Sinha, S.K.² Moncton, D.E.³ Johnston, D.C.⁴ Newsam, J.M.⁵ Safinya, C.R.⁶ King, Jr.H.E.⁷

4
- 0035805849
- 10.1103/PhysRevLett.86.5377
- R. Coldea, S. M. Hayden, G. Aeppli, T. G. Perring, C. D. Frost, T. E. Mason, S.-W. Cheong, and Z. Fisk, Phys. Rev. Lett. 86, 5377 (2001). 10.1103/PhysRevLett.86.5377
- (2001) Phys. Rev. Lett. , vol.86 , pp. 5377
- Coldea, R.¹ Hayden, S.M.² Aeppli, G.³ Perring, T.G.⁴ Frost, C.D.⁵ Mason, T.E.⁶ Cheong, S.-W.⁷ Fisk, Z.⁸

5
- 0001015998
- 10.1103/PhysRevB.59.13788
- R. J. Birgeneau, M. Greven, M. A. Kastner, Y. S. Lee, B. O. Wells, Y. Endoh, K. Yamada, and G. Shirane, Phys. Rev. B 59, 13788 (1999). 10.1103/PhysRevB.59.13788
- (1999) Phys. Rev. B , vol.59 , pp. 13788
- Birgeneau, R.J.¹ Greven, M.² Kastner, M.A.³ Lee, Y.S.⁴ Wells, B.O.⁵ Endoh, Y.⁶ Yamada, K.⁷ Shirane, G.⁸

6
- 4244210741
- 10.1103/PhysRevLett.75.938
- N. Elstner, A. Sokol, R. R. P. Singh, M. Greven, and R. J. Birgeneau, Phys. Rev. Lett. 75, 938 (1995). 10.1103/PhysRevLett.75.938
- (1995) Phys. Rev. Lett. , vol.75 , pp. 938
- Elstner, N.¹ Sokol, A.² Singh, R.R.P.³ Greven, M.⁴ Birgeneau, R.J.⁵

7
- 0001395849
- 10.1103/PhysRevB.56.14456
- A. Cuccoli, V. Tognetti, R. Vaia, and P. Verrucchi, Phys. Rev. B 56, 14456 (1997). 10.1103/PhysRevB.56.14456
- (1997) Phys. Rev. B , vol.56 , pp. 14456
- Cuccoli, A.¹ Tognetti, V.² Vaia, R.³ Verrucchi, P.⁴

8
- 20444415509
- 10.1103/PhysRev.86.694
- P. W. Anderson, Phys. Rev. 86, 694 (1952). 10.1103/PhysRev.86.694
- (1952) Phys. Rev. , vol.86 , pp. 694
- Anderson, P.W.¹

9
- 0001240011
- 10.1103/PhysRev.117.117
- T. Oguchi, Phys. Rev. 117, 117 (1960). 10.1103/PhysRev.117.117
- (1960) Phys. Rev. , vol.117 , pp. 117
- Oguchi, T.¹

10
- 25944450667
- 10.1103/PhysRevB.39.2344
- S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B 39, 2344 (1989). 10.1103/PhysRevB.39.2344
- (1989) Phys. Rev. B , vol.39 , pp. 2344
- Chakravarty, S.¹ Halperin, B.I.² Nelson, D.R.³

11
- 0001183161
- 10.1103/PhysRevLett.83.852
- Y. J. Kim, A. Aharony, R. J. Birgeneau, F. C. Chou, O. Entin-Wohlman, R. W. Erwin, M. Greven, A. B. Harris, M. A. Kastner, I. Ya. Korenblit, Y. S. Lee, and G. Shirane, Phys. Rev. Lett. 83, 852 (1999). 10.1103/PhysRevLett.83.852
- (1999) Phys. Rev. Lett. , vol.83 , pp. 852
- Kim, Y.J.¹ Aharony, A.² Birgeneau, R.J.³ Chou, F.C.⁴ Entin-Wohlman, O.⁵ Erwin, R.W.⁶ Greven, M.⁷ Harris, A.B.⁸ Kastner, M.A.⁹ Ya. Korenblit, I.¹⁰ Lee, Y.S.¹¹ Shirane, G.¹²

12
- 0035130003
- 10.1103/PhysRevLett.86.528
- A. W. Sandvik and R. R. P. Singh, Phys. Rev. Lett. 86, 528 (2001). 10.1103/PhysRevLett.86.528
- (2001) Phys. Rev. Lett. , vol.86 , pp. 528
- Sandvik, A.W.¹ Singh, R.R.P.²

13
- 0035898558
- 10.1103/PhysRevLett.87.037202
- H. M. Rønnow, D. F. McMorrow, R. Coldea, A. Harrison, I. D. Youngson, T. G. Perring, G. Aeppli, O. F. Syljuåsen, K. Lefmann, and C. Rischel, Phys. Rev. Lett. 87, 037202 (2001). 10.1103/PhysRevLett.87.037202
- (2001) Phys. Rev. Lett. , vol.87 , pp. 037202
- Rønnow, H.M.¹ McMorrow, D.F.² Coldea, R.³ Harrison, A.⁴ Youngson, I.D.⁵ Perring, T.G.⁶ Aeppli, G.⁷ Syljuåsen, O.F.⁸ Lefmann, K.⁹ Rischel, C.¹⁰

14
- 2642553332
- 10.1016/j.jmmm.2004.01.056
- N. B. Christensen, D. F. McMorrow, H. M. Rønnow, A. Harrison, T. G. Perring, and R. Coldea, J. Magn. Magn. Mater. 272-276, 896 (2004). 10.1016/j.jmmm.2004.01.056
- (2004) J. Magn. Magn. Mater. , vol.272-276 , pp. 896
- Christensen, N.B.¹ McMorrow, D.F.² Rønnow, H.M.³ Harrison, A.⁴ Perring, T.G.⁵ Coldea, R.⁶

15
- 34848917344
- Quantum dynamics and entanglement of spins on a square lattice
- DOI 10.1073/pnas.0703293104
- N. B. Christensen, H. M. Rønnow, D. F. McMorrow, A. Harrison, T. G. Perring, M. Enderle, R. Coldea, L. P. Regnault, and G. Aeppli, Proc. Natl. Acad. Sci. U.S.A. 104, 15264 (2007). 10.1073/pnas.0703293104 (Pubitemid 47502906)
- (2007) Proceedings of the National Academy of Sciences of the United States of America , vol.104 , Issue.39 , pp. 15264-15269
- Christensen, N.B.¹ Ronnow, H.M.² McMorrow, D.F.³ Harrison, A.⁴ Perring, T.G.⁵ Enderle, M.⁶ Coldea, R.⁷ Regnault, L.P.⁸ Aeppli, G.⁹

16
- 0036538051
- 10.1103/PhysRevB.65.144412
- F. M. Woodward, A. S. Albrecht, C. M. Wynn, C. P. Landee, and M. M. Turnbull, Phys. Rev. B 65, 144412 (2002). 10.1103/PhysRevB.65.144412
- (2002) Phys. Rev. B , vol.65 , pp. 144412
- Woodward, F.M.¹ Albrecht, A.S.² Wynn, C.M.³ Landee, C.P.⁴ Turnbull, M.M.⁵

17
- 33947528267
- 10.1103/PhysRevB.75.094421
- T. Lancaster, S. J. Blundell, M. L. Brooks, P. J. Baker, F. L. Pratt, J. L. Manson, M. M. Conner, F. Xiao, C. P. Landee, F. A. Chaves, S. Soriano, M. A. Novak, T. P. Papageorgiou, A. D. Bianchi, T. Hermannsdörfer, J. Wosnitza, and J. A. Schlueter, Phys. Rev. B 75, 094421 (2007). 10.1103/PhysRevB.75.094421
- (2007) Phys. Rev. B , vol.75 , pp. 094421
- Lancaster, T.¹ Blundell, S.J.² Brooks, M.L.³ Baker, P.J.⁴ Pratt, F.L.⁵ Manson, J.L.⁶ Conner, M.M.⁷ Xiao, F.⁸ Landee, C.P.⁹ Chaves, F.A.¹⁰ Soriano, S.¹¹ Novak, M.A.¹² Papageorgiou, T.P.¹³ Bianchi, A.D.¹⁴ Hermannsdörfer, T.¹⁵ Wosnitza, J.¹⁶ Schlueter, J.A.¹⁷

18
- 33947547691
- 10.1103/PhysRevB.75.094424
- F. C. Coomer, V. Bondah-Jagalu, K. J. Grant, A. Harrison, G. J. McIntyre, H. M. Rønnow, R. Feyerherm, T. Wand, M. Meißner, D. Visser, and D. F. McMorrow, Phys. Rev. B 75, 094424 (2007). 10.1103/PhysRevB.75.094424
- (2007) Phys. Rev. B , vol.75 , pp. 094424
- Coomer, F.C.¹ Bondah-Jagalu, V.² Grant, K.J.³ Harrison, A.⁴ McIntyre, G.J.⁵ Rønnow, H.M.⁶ Feyerherm, R.⁷ Wand, T.⁸ Meißner, M.⁹ Visser, D.¹⁰ McMorrow, D.F.¹¹

19
- 0343495440
- 10.1143/PTP.67.995
- K. Osano, H. Shiba, and Y. Endoh, Prog. Theor. Phys. 67, 995 (1982). 10.1143/PTP.67.995
- (1982) Prog. Theor. Phys. , vol.67 , pp. 995
- Osano, K.¹ Shiba, H.² Endoh, Y.³

20
- 0000166158
- 10.1103/PhysRevLett.82.4536
- M. E. Zhitomirsky and A. L. Chernyshev, Phys. Rev. Lett. 82, 4536 (1999). 10.1103/PhysRevLett.82.4536
- (1999) Phys. Rev. Lett. , vol.82 , pp. 4536
- Zhitomirsky, M.E.¹ Chernyshev, A.L.²

21
- 0000276066
- 10.1103/PhysRevB.39.11783
- D. S. Fisher, Phys. Rev. B 39, 11783 (1989). 10.1103/PhysRevB.39.11783
- (1989) Phys. Rev. B , vol.39 , pp. 11783
- Fisher, D.S.¹

22
- 36049054308
- 10.1103/PhysRev.188.898
- B. I. Halperin and P. C. Hohenberg, Phys. Rev. 188, 898 (1969). 10.1103/PhysRev.188.898
- (1969) Phys. Rev. , vol.188 , pp. 898
- Halperin, B.I.¹ Hohenberg, P.C.²

23
- 0001549550
- 10.1103/PhysRevB.46.10763
- J. Igarashi, Phys. Rev. B 46, 10763 (1992). 10.1103/PhysRevB.46.10763
- (1992) Phys. Rev. B , vol.46 , pp. 10763
- Igarashi, J.¹

24
- 0000987427
- 10.1103/PhysRevB.56.11678
- A. W. Sandvik, Phys. Rev. B 56, 11678 (1997). 10.1103/PhysRevB.56.11678
- (1997) Phys. Rev. B , vol.56 , pp. 11678
- Sandvik, A.W.¹

25
- 0001619619
- 10.1103/PhysRevB.39.2608
- H. Neuberger and T. Ziman, Phys. Rev. B 39, 2608 (1989). 10.1103/PhysRevB.39.2608
- (1989) Phys. Rev. B , vol.39 , pp. 2608
- Neuberger, H.¹ Ziman, T.²

26
- 0000540501
- 10.1016/0550-3213(90)90603-B
- P. Hasenfratz and H. Leutwyler, Nucl. Phys. B 343, 241 (1990). 10.1016/0550-3213(90)90603-B
- (1990) Nucl. Phys. B , vol.343 , pp. 241
- Hasenfratz, P.¹ Leutwyler, H.²

27
- 0002881634
- 10.1007/BF01309171
- P. Hasenfratz and F. Niedermayer, Z. Phys. B: Condens. Matter 92, 91 (1993). 10.1007/BF01309171
- (1993) Z. Phys. B: Condens. Matter , vol.92 , pp. 91
- Hasenfratz, P.¹ Niedermayer, F.²

28
- 0000715040
- 10.1103/PhysRevB.59.R14157
- A. W. Sandvik, Phys. Rev. B 59, R14157 (1999). 10.1103/PhysRevB.59.R14157
- (1999) Phys. Rev. B , vol.59 , pp. 14157
- Sandvik, A.W.¹

29
- 37649028656
- 10.1103/PhysRevE.71.036706
- F. Alet, S. Wessel, and M. Troyer, Phys. Rev. E 71, 036706 (2005). 10.1103/PhysRevE.71.036706
- (2005) Phys. Rev. e , vol.71 , pp. 036706
- Alet, F.¹ Wessel, S.² Troyer, M.³

30
- 33847298662
- The ALPS project release 1.3: Open-source software for strongly correlated systems
- DOI 10.1016/j.jmmm.2006.10.304, PII S0304885306014983
- A. F. Albuquerque, F. Alet, P. Corboz, P. Dayal, A. Feiguin, S. Fuchs, L. Gamper, E. Gull, S. Gürtler, A. Honecker, R. Igarashi, M. Körner, A. Kozhevnikov, A. M. Läuchli, S. R. Manmana, M. Matsumoto, I. P. McCulloch, F. Michel, R. M. Noack, G. Pawlowski, L. Pollet, T. Pruschke, U. Schollwöck, S. Todo, S. Trebst, M. Troyer, P. Werner, and S. Wessel, J. Magn. Magn. Mater. 310, 1187 (2007). 10.1016/j.jmmm.2006.10.304 (Pubitemid 46319725)
- (2007) Journal of Magnetism and Magnetic Materials , vol.310 , Issue.2 SUPPL. PART 2 , pp. 1187-1193
- Albuquerque, A.F.¹ Alet, F.² Corboz, P.³ Dayal, P.⁴ Feiguin, A.⁵ Fuchs, S.⁶ Gamper, L.⁷ Gull, E.⁸ Gurtler, S.⁹ Honecker, A.¹⁰ Igarashi, R.¹¹ Korner, M.¹² Kozhevnikov, A.¹³ Lauchli, A.¹⁴ Manmana, S.R.¹⁵ Matsumoto, M.¹⁶ McCulloch, I.P.¹⁷ Michel, F.¹⁸ Noack, R.M.¹⁹ Pawlowski, G.²⁰ more..

31
- 4944264371
- edited by U. Schöllwock, 10.1007/BFb0119592 Springer-Verlag, Berlin, Lecture Noes in Physics, Vol. R. F. Bishop, D. J. J. Farnell, and J. Richter
- J. Richter, J. Schulenburg, and A. Honecker, Quantum Magnetism, edited by, U. Schöllwock, J. Richter, D. J. J. Farnell, and, R. F. Bishop, Lecture Noes in Physics, Vol. 645 (Springer-Verlag, Berlin, 2004), p. 85. 10.1007/BFb0119592
- (2004) Quantum Magnetism , vol.645 , pp. 85
- Richter, J.¹ Schulenburg, J.² Honecker, A.³

32
- 0001224786
- 10.1103/PhysRevB.60.6588
- A. W. Sandvik and C. J. Hamer, Phys. Rev. B 60, 6588 (1999). 10.1103/PhysRevB.60.6588
- (1999) Phys. Rev. B , vol.60 , pp. 6588
- Sandvik, A.W.¹ Hamer, C.J.²

33
- 0000725062
- 10.1103/PhysRevB.57.5013
- M. E. Zhitomirsky and T. Nikuni, Phys. Rev. B 57, 5013 (1998). 10.1103/PhysRevB.57.5013
- (1998) Phys. Rev. B , vol.57 , pp. 5013
- Zhitomirsky, M.E.¹ Nikuni, T.²

34
- 0008597453
- 10.1007/BF01433054
- S. Gluzman, Z. Phys. B: Condens. Matter 90, 313 (1993). 10.1007/BF01433054
- (1993) Z. Phys. B: Condens. Matter , vol.90 , pp. 313
- Gluzman, S.¹

35
- 0000969398
- 10.1103/PhysRevB.50.258
- S. Sachdev, T. Senthil, and R. Shankar, Phys. Rev. B 50, 258 (1994). 10.1103/PhysRevB.50.258
- (1994) Phys. Rev. B , vol.50 , pp. 258
- Sachdev, S.¹ Senthil, T.² Shankar, R.³

36
- 0032646135
- 10.1088/0953-8984/11/24/311
- A. Honecker, J. Phys.: Condens. Matter 11, 4697 (1999). 10.1088/0953-8984/11/24/311
- (1999) J. Phys.: Condens. Matter , vol.11 , pp. 4697
- Honecker, A.¹

37
- 0001664598
- G. I. Dzhaparidze and A. A. Nersesyan, Pis'ma Zh. Eksp. Teor. Fiz. 27, 356 (1978)
- (1978) Pis'Ma Zh. Eksp. Teor. Fiz. , vol.27 , pp. 356
- Dzhaparidze, G.I.¹ Nersesyan, A.A.²

38
- 0038963974
- G. I. Dzhaparidze and A. A. Nersesyan, [JETP Lett. 27, 334 (1978)].
- (1978) JETP Lett. , vol.27 , pp. 334
- Dzhaparidze, G.I.¹ Nersesyan, A.A.²

39
- 65649084396
- arXiv:0902.4455 (unpublished).
- A. L. Chernyshev and M. E. Zhitomirsky, arXiv:0902.4455 (unpublished).
- Chernyshev, A.L.¹ Zhitomirsky, M.E.²

40
- 16344393657
- 10.1103/PhysRevB.51.6151
- T. Einarsson and H. J. Schulz, Phys. Rev. B 51, 6151 (1995). 10.1103/PhysRevB.51.6151
- (1995) Phys. Rev. B , vol.51 , pp. 6151
- Einarsson, T.¹ Schulz, H.J.²

41
- 26544460188
- 10.1103/PhysRevB.30.2555
- E. Pollock and D. M. Ceperley, Phys. Rev. B 30, 2555 (1984). 10.1103/PhysRevB.30.2555
- (1984) Phys. Rev. B , vol.30 , pp. 2555
- Pollock, E.¹ Ceperley, D.M.²

42
- 0030134939
- 10.1051/jp1:1996236
- H. J. Schulz, T. Ziman, and D. Poilblanc, J. Phys. I 6, 675 (1996). 10.1051/jp1:1996236
- (1996) J. Phys. i , vol.6 , pp. 675
- Schulz, H.J.¹ Ziman, T.² Poilblanc, D.³

43
- 48749111352
- 10.1103/PhysRevB.78.035127
- A. Kreisel, F. Sauli, N. Hasselmann, and P. Kopietz, Phys. Rev. B 78, 035127 (2008). 10.1103/PhysRevB.78.035127
- (2008) Phys. Rev. B , vol.78 , pp. 035127
- Kreisel, A.¹ Sauli, F.² Hasselmann, N.³ Kopietz, P.⁴

44
- 0000520687
- 10.1103/PhysRevB.50.6877
- C. J. Hamer, W. Zheng, and J. Oitmaa, Phys. Rev. B 50, 6877 (1994). 10.1103/PhysRevB.50.6877
- (1994) Phys. Rev. B , vol.50 , pp. 6877
- Hamer, C.J.¹ Zheng, W.² Oitmaa, J.³

45
- 0002554830
- 10.1007/s002570050427
- M. S. Yang and K. H. Mütter, Z. Phys. B: Condens. Matter 104, 117 (1997). 10.1007/s002570050427
- (1997) Z. Phys. B: Condens. Matter , vol.104 , pp. 117
- Yang, M.S.¹ Mütter, K.H.²

46
- 57349188470
- 10.1103/PhysRevB.78.180413
- O. F. Syljuåsen, Phys. Rev. B 78, 180413 (2008). 10.1103/PhysRevB.78.180413
- (2008) Phys. Rev. B , vol.78 , pp. 180413
- Syljuåsen, O.F.¹

47
- 65649148208
- Ph.D. thesis, Johann Wolfgang Goethe-Universität, Frankfurt am Main
- I. Spremo, Ph.D. thesis, Johann Wolfgang Goethe-Universität, Frankfurt am Main, 2006.
- (2006)
- Spremo, I.¹

48
- 4143145546
- 10.1103/PhysRevLett.69.2590
- B. Bernu, C. Lhuillier, and L. Pierre, Phys. Rev. Lett. 69, 2590 (1992). 10.1103/PhysRevLett.69.2590
- (1992) Phys. Rev. Lett. , vol.69 , pp. 2590
- Bernu, B.¹ Lhuillier, C.² Pierre, L.³

49
- 0000587419
- 10.1103/PhysRevLett.59.2999
- E. R. Gagliano and C. A. Balseiro, Phys. Rev. Lett. 59, 2999 (1987). 10.1103/PhysRevLett.59.2999
- (1987) Phys. Rev. Lett. , vol.59 , pp. 2999
- Gagliano, E.R.¹ Balseiro, C.A.²

50
- 12044251032
- Correlated electrons in high-temperature superconductors
- DOI 10.1103/RevModPhys.66.763
- E. Dagotto, Rev. Mod. Phys. 66, 763 (1994). 10.1103/RevModPhys.66.763 (Pubitemid 24821628)
- (1994) Reviews of Modern Physics , vol.66 , Issue.3 , pp. 763
- Dagotto, E.¹

51
- 33644519038
- 10.1103/PhysRevB.71.184440
- W. Zheng, J. Oitmaa, and C. J. Hamer, Phys. Rev. B 71, 184440 (2005). 10.1103/PhysRevB.71.184440
- (2005) Phys. Rev. B , vol.71 , pp. 184440
- Zheng, W.¹ Oitmaa, J.² Hamer, C.J.³

52
- 33751034310
- 10.1103/PhysRevLett.97.207202
- A. L. Chernyshev and M. E. Zhitomirsky, Phys. Rev. Lett. 97, 207202 (2006). 10.1103/PhysRevLett.97.207202
- (2006) Phys. Rev. Lett. , vol.97 , pp. 207202
- Chernyshev, A.L.¹ Zhitomirsky, M.E.²

53
- 33144486148
- Anomalous excitation spectra of frustrated quantum antiferromagnets
- DOI 10.1103/PhysRevLett.96.057201
- W. Zheng, J. O. Fjærestad, R. R. P. Singh, R. H. McKenzie, and R. Coldea, Phys. Rev. Lett. 96, 057201 (2006). 10.1103/PhysRevLett.96.057201 (Pubitemid 43270986)
- (2006) Physical Review Letters , vol.96 , Issue.5 , pp. 057201
- Zheng, W.¹ Fjaerestad, J.O.² Singh, R.R.P.³ McKenzie, R.H.⁴ Coldea, R.⁵

54
- 33750997013
- 10.1103/PhysRevB.74.180403
- O. A. Starykh, A. V. Chubukov, and A. G. Abanov, Phys. Rev. B 74, 180403 (2006). 10.1103/PhysRevB.74.180403
- (2006) Phys. Rev. B , vol.74 , pp. 180403
- Starykh, O.A.¹ Chubukov, A.V.² Abanov, A.G.³

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.