Defect removal in the course of directed self-assembly is facilitated in the vicinity of the order-disorder transition

Physical Review Letters

Volumn 113, Issue 16, 2014, Pages

  Li, Weihua ^a,b   Nealey, Paul F ^c,d   De Pablo, Juan J ^c,d   Müller, Marcus ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b FUDAN UNIVERSITY   (China)

^c UNIVERSITY OF CHICAGO   (United States)

^d ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DEFECTS; FREE ENERGY; MEAN FIELD THEORY; MOLECULAR ORBITALS; ORDER DISORDER TRANSITIONS;

CHARACTERISTIC VALUE; CHEMICALLY PATTERNED SUBSTRATES; DEFECT MORPHOLOGY; DIRECTED SELF-ASSEMBLY; EXCESS FREE ENERGY; PHYSICAL MECHANISM; REMOVAL MECHANISM; SELF CONSISTENT FIELD THEORY;

SELF ASSEMBLY;

POLYMER;

CHEMICAL MODEL; CHEMISTRY; THERMODYNAMICS;

MODELS, CHEMICAL; POLYMERS; THERMODYNAMICS;

EID: 84908032389     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.168301     Document Type: Article

References (37)

1. H. Hu, M. Gopinadham, and C.O. Osuji, Soft Matter 10, 3867 (2014). SMOABF 1744-683X 10.1039/c3sm52607k
2. I.W. Hamley, Prog. Polym. Sci. 34, 1161 (2009). PRPSB8 0079-6700 10.1016/j.progpolymsci.2009.06.003
3. C.M. Bates, M.J. Maher, D.W. Janes, C.J. Ellison, and C.G. Willson, Macromolecules 47, 2 (2014). MAMOBX 0024-9297 10.1021/ma401762n
4. S.J. Jeong, J.Y. Kim, B.H. Kim, H.S. Moon, and S.O. Kim, Mater. Today 16, 468 (2013). MATOBY 1369-7021 10.1016/j.mattod.2013.11.002
5. M. Luo and T.H. Epps III, Macromolecules 46, 7567 (2013). MAMOBX 0024-9297 10.1021/ma401112y
6. K. Koo, H. Ahn, S.W. Kim, D.Y. Ryu, and T.P. Russell, Soft Matter 9, 9059 (2013). SMOABF 1744-683X 10.1039/c3sm51083b
7. J.K.W. Yang, J.S. Jung, J.B. Chang, R.A. Mickiewicz, A. Alexander-Katz, C.A. Ross, and K.K. Berggren, Nat. Nanotechnol. 5, 256 (2010). NNAABX 1748-3387 10.1038/nnano.2010.30
8. K. Aissou, H.K. Choi, A. Nunns, I. Manners, and C.A. Ross, Nano Lett. 13, 835 (2013). NALEFD 1530-6984 10.1021/nl400006c
9. R.A. Segalman, H. Yokoyama, and E.J. Kramer, Adv. Mater. 13, 1152 (2001). ADVMEW 0935-9648 10.1002/1521-4095(200108)13:15<1152::AID-ADMA1152>3.0.CO;2-5
10. J.Y. Cheng, A.M. Mayes, and C.A. Ross, Nat. Mater. 3, 823 (2004). NMAACR 1476-1122 10.1038/nmat1211
11. R.A. Segalman, Mater. Sci. Eng. R 48, 191 (2005). MIGIEA 0927-796X 10.1016/j.mser.2004.12.003
12. H. Takahashi, N. Laachi, K.T. Delaney, S.M. Hur, C.J. Weinheimer, D. Shykind, and G.H. Fredrickson, Macromolecules 45, 6253 (2012). MAMOBX 0024-9297 10.1021/ma300993x
13. S.O. Kim, H.H. Solak, M.P. Stoykovich, N.J. Ferrier, J.J. de Pablo, and P.F. Nealey, Nature (London) 424, 411 (2003). NATUAS 0028-0836 10.1038/nature01775
14. M.P. Stoykovich, M. Müller, S.O. Kim, H.H. Solak, E.W. Edwards, J.J. de Pablo, and P.F. Nealey, Science 308, 1442 (2005). SCIEAS 0036-8075 10.1126/science.1111041
15. M.P. Stoykovich, H.M. Kang, P.F. Nealey, K.C. Daoulas, G.C. Liu, C.C. Liu, J.J. de Pablo, M. Müller, and P.F. Nealey, ACS Nano 1, 168 (2007). ANCAC3 1936-0851 10.1021/nn700164p
16. R. Ruiz, H. Kang, F.A. Detcheverry, E. Dobisz, D.S. Kercher, T.R. Albrecht, J.J. de Pablo, and P.F. Nealey, Science 321, 936 (2008). SCIEAS 0036-8075 10.1126/science.1157626
17. E.W. Edwards, M.P. Stoykovich, M. Müller, H.H. Solak, J.J. de Pablo, and P.F. Nealey, J. Polym. Sci. B 43, 3444 (2005). JPLPAY 0887-6266 10.1002/polb.20643
18. U. Nagpal, M. Müller, P.F. Nealey, and J.J. de Pablo, ACS Macro Lett. 1, 418 (2012). AMLCCD 2161-1653 10.1021/mz200245s
19. M. Müller and J.J. de Pablo, Annu. Rev. Mater. Sci. 43, 1 (2013). ARMSCX 1531-7331 10.1146/annurev-matsci-071312-121618
20. M. Müller and F. Schmid, Adv. Polym. Sci. 185, 1 (2005). APSIDK 0065-3195 10.1007/b136792
21. G.H. Fredrickson, The Equilibrium Theory of Inhomogeneous Polymers (Oxford University Press, Oxford, England, 2006).
22. X. Cheng, L. Lin, W. E, P. Zhang, and A.C. Shi, Phys. Rev. Lett. 104, 148301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.148301
23. W. E, W. Ren, and E. Vanden-Eijnden, J. Chem. Phys. 126, 164103 (2007). JCPSA6 0021-9606 10.1063/1.2720838
24. M. Müller and D.-W. Sun, Phys. Rev. Lett. 111, 267801 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.267801
25. C.-Z. Zhang and Z.-G. Wang, Phys. Rev. E 73, 031804 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.73.031804
26. M. Müller, Phys. Rev. Lett. 109, 087801 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.087801
27. S.P. Paradiso, K.T. Delaney, C.J. Gacía-Cervera, H.D. Ceniceros, and G.H. Fredrickson, ACS Macro Lett. 3, 16 (2014). AMLCCD 2161-1653 10.1021/mz400572r
28. A.A. Rudov, E.S. Patyukova, I.V. Neratova, P.G. Khalatur, D. Posselt, C.M. Papadakis, and I.I. Potemkin, Macromolecules 46, 5786 (2013). MAMOBX 0024-9297 10.1021/ma400810u
29. Y.S. Junk and C.A. Ross, Nano Lett. 7, 2046 (2007). NALEFD 1530-6984 10.1021/nl070924l
30. S.H. Kim, M.J. Misner, T. Xu, M. Kimura, and T.P. Russell, Adv. Mater. 16, 226 (2004). ADVMEW 0935-9648 10.1002/adma.200304906
31. A.M. Welander, H. Kang, K.O. Stuen, H.H. Solak, M. Müller, J.J. de Pablo, and P.F. Nealey, Macromolecules 41, 2759 (2008). MAMOBX 0024-9297 10.1021/ma800056s
32. J.W. Cahn, J. Chem. Phys. 66, 3667 (1977). JCPSA6 0021-9606 10.1063/1.434402
33. M. Müller and K.C. Daoulas, Phys. Rev. Lett. 107, 227801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.227801
34. J.L. Barrat and G.H. Fredrickson, Macromolecules 24, 6378 (1991). MAMOBX 0024-9297 10.1021/ma00024a002
35. P.G. de Gennes, J. Chem. Phys. 72, 4756 (1980). JCPSA6 0021-9606 10.1063/1.439809
36. Fluctuations shift the ODT to larger incompatibility, (Equation presented) [G.H. Fredrickson and E. Helfand, J. Chem. Phys. 87, 697 (1987)]; JCPSA6 0021-9606 10.1063/1.453566
37. This shift chiefly stems from an inappropriate description of the disordered phase by the mean-field treatment [J. Glaser, P. Medapuram, T.M. Beardsley, M.W. Matsen, and D.C. Morse, Phys. Rev. Lett. 113, 068302 (2014)] implying that (Equation presented) is much less affected by fluctuations than (Equation presented). The condition, (Equation presented), results in a lower limit for (Equation presented) and, thereby, for the smallest length scale achievable with high-(Equation presented) materials. Using (Equation presented), we obtain (Equation presented), corresponding to (Equation presented) monomeric repeat units of polystyrene or (Equation presented). PRLTAO 0031-9007 10.1103/PhysRevLett.113.068302