Publications
● Representative Publication:
1. Iksoo Chang and Hagai Meirovitch,
Surface Critical Exponents of Self-Avoiding Walks and Trails on a Square
Lattice: The Universality Classes of the θ and θ' Points,
Physical Review Letters, 69, 2232-2235 (1992).
2. Iksoo Chang, Zvi Lev, A. B. Harris, Joan Adler and Amnon Aharony,
Localization Length Exponent in Quantum Percolation,
Physical Review Letters, 74, 2094-2097 (1995).
3. Jong-Rim Lee, Sungjong Lee, Bongsoo Kim and Iksoo Chang*,
Ordering kinetics in the two dimensional classical Coulomd gas of half-integer charges on
a square lattice : temperature dependent growth and roughening transition,
Physical Review Letters, 79, 2172-2175 (1997).
4. Mookyung Cheon and Iksoo Chang*,
Anisotropic domain growth of the axial next-nearest-neighbor Ising model at
low temperatures,
Physical Review Letters, 86, 4576-4579 (2001).
5. Iksoo Chang, Marek Cieplak, Ruxandra Dima, Amos Maritan, and Jayanth R. Banavar,
Protein Threading by Learning,
(Featured as "Research Highlight" at Nature.)
(Featured as "Developments to Watch" at Business Week, USA.)
Proceeding of The National Academy of Sciences, USA. 98, 14350-14355 (2001).
6. Wookyung Yu, Kwanghoon Chung, Mookyung Cheon, Muyoung Heo, Kyou-Hoon
Han, Sihyun Ham and Iksoo Chang*,
Cooperative folding kinetics of BBL protein and peripheral subunit-binding domain
homologues,
Proceeding of The National Academy of Sciences, USA. 105, 2397-2402 (2008).
7. Choongrak Kim, Mookyung Cheon, Minho Kang, and Iksoo Chang*,
A simple and exact Laplacian clustering of complex networking phenomena:
Application to gene expression profiles,
Proceeding of The National Academy of Sciences, USA. 105, 4083-4087 (2008).
● Full List of Publication
93. Seak Hee Oh,* Seongjun Park,* Hye-Jin Lee, Inki Kim, Sojung Park, Mi Kyoung Ahn,
Juhwan Lee, Mooseok Kang, In-Jeoung Baek, Young Hoon Sung, Chan-Gi Pack, Hyojeong
Kang, Kunsong Lee, Ho Joon Im, Eul Ju Seo, Kyung Mo Kim, Suk-Kyun Yang,
Kyuyoung Song, and Iksoo Chang*
Interpretation of XIAP Variants of Unknown Significance in Pediatric Patients with Refractory
Crohn's Disease,
Journal of Crohn’s and Colitis, xx, yyyy (2021) accepted.
92. Seungjoon Kim#, Mooseok Kang#, Dongseok Park, Ae-Ree Lee, Heinrich Betz, Jaewon Ko,
Iksoo Chang* and Ji Won Um*,
Impaired Formation of High-order Gephyrin Oligomers Underlies Gephyrin Dysfunction-associated Pathologies,
iScience xx, yyyy (2021) Accepted.
91. Younghee Hong, Iksoo Chang, Choongrak Kim,
Detection of hubs in complex networks by the Laplacian matrix,
Journal of the Korean Statistical Society, https://doi.org/10.1007/s42952-020-00087-0 (2020).
90. Juhwan Lee and Iksoo Chang*,
Structural insight into conformational change in prion protein by breakage of electrostatic
network around H187 due to its protonation,
Scientific Reports 9, 19305 (2019).
89. Juhwan Lee*, Iksoo Chang & Wookyung Yu*,
Atomic insights into the effects of pathological mutants through the disruption of hydrophobic core in the prion protein,
Scientific Reports 9, 19144 (2019).
88. Mooseok Kang, Sangyeol Kim, Hyo Jung Kim, Pravesh Shrestha, Ji-hye Yun, Bong-Kwan Phee, Weontae Lee* Hong Gil Nam* and Iksoo Chang*,
The C-Domain of the NAC Transcription Factor ANAC019 Is Necessary for pH-Tuned DNA Binding through a Histidine Switch in the N-Domain,
Cell Reports 22, 1141 (2018).
87. Mandar T. Naik, Mooseok Kang, Chun-Chen Ho, Pei-Hsin Liao, Yung-Lin Hsieh, Nandita
M. Naik, Szu-Huan Wang, Iksoo Chang*, Hsiu-Ming Shih & Tai-Huang Huang,
Molecular mechanism of K65 acetylation-induced attenuation of Ubc9 and the NDSM interaction,
Scientific Reports, 7, 1739 (2017).
86. Mookyung Cheon, Mooseok Kang, Iksoo Chang*,
Ploymorphism of fibrillar structures depending on the size of assembled Ab17-42 peptides,
Scientific Reports, 6, 38196 (2016).
85. Heeyoun Kim, Sangyeol Kim, Youngjin Jung, Jeongmin Han, Iksoo Chang*, Weontae Lee*,
Probing the Folding-Unfolding Transition of a Thermophilic Protein, MTH1880
PLOS one, 11.1, e0145853, (2016).
84. Mookyung Cheon, Choongrak Kim, Iksoo 84. Mookyung Cheon, Choongrak Kim*, Iksoo Chang*
Uncovering Multi Loci-Ordering by Algebraic Property of Laplacian Matrix and
its Fiedler Vector,
Bioinformatics, 31, (2015).
83. Mookyung Cheon, Carol K. Hall, Iksoo Chang*,
Structural Conversion of Aß17-42 Peptides from Disordered Oligomers to U-Shape
Protofilaments via Multiple Kinetic Pathways
PLOS Computational Biology, 11, e1004258 (2015).
82. Dong-Il Kim, Mooseok Kang, Sangyeol Kim, Juhwan Lee, Yongsoo Park,, Iksoo Chang*,
Byung-Chang Suh*,
Molecular Basis of the Membrane Interaction of the 2e Subunit of Voltage-Gated Ca2
Channels,
Biophysical Journal, 109, 922-935 (2015).
81. Yong-Woo Jun, Sangyeol Kim, Kun-Hyung Kim, Jin-A Lee, Chae-Seok Lim, Iksoo Chang,
Byung-Chang Suh, Bong-Kiun Kang, Deok-Jin Jang
Analysis of Phosphoinositide-Binding Properties and Subcellular Localization of GFP-Fusion
Proteins
Lipids, 50, 427-436 (2015).
80. Victoria A. Wagoner, Mookyung Cheon, Iksoo Chang, and Carol K. Hall,
Impact of sequence on the molecular assembly of short amyloid peptides
PROTEINS, 82, 1469-1483 (2014).
79. Woonghee Lee, Wookyung Yu, Suhkmann Kim, Iksoo Chang, Weontae Lee, John L. Markley,
PACSY database, a relational database management system for protein structure and
chemical shift analysis,
Journal of Biomolecular NMR, 54, 169-179 (2012).
78. Mookyung Cheon, Iksoo Chang*, and Carol K. Hall*,
Influence of Temperature on Formation of Perfect Tau Fragment Fibrils
Using PRIME20/DMD Simulations,
Protein Science, 21, 1514-1527 (2012).
77. Victoria A. Wagoner, Mookyung Cheon, Iksoo Chang, and Carol K. Hall*,
Fibrillization Propensity for Short Designed Hexapeptides Predicted by Computer Simulation,
Journal of Molecular Biology, 416, 598-609 (2012).
76. Wookyung Yu, Woonghee Lee, Weontae Lee, Suhkmann Kim, Iksoo Chang*,
Uncovering symmetry-breaking vector and reliability order for assigning secondary
structures of proteins from atomic NMR chemical shifts in amino acids,
Journal of Biomolecular NMR, 51, 411-424 (2011).
75. Mookyung Cheon, Iksoo Chang*, and Carol K. Hall*,
Spontaneous Formation of Twisted Aß16-22 Fibrils in Large-Scale Molecular-Dynamics
Simulations,
Biophysical Journal, 101, 2493-2501 (2011).
74. Wookyung Yu, Iksoo Chang*,
Identification of Critical Amino Acids' Interaction Network Affecting Protein Stability Based
on the Laplacian Network Analysis,
New Physics, 61, 931-937 (2011).
73. Jiho Yoo, Sunggeon Ko, Hyeyon Kim, Heidi Sampson, Jihye Yun, Kwangmin Choe,
Iksoo Chang, Cheryl H. Arrowsmith, Henry M. Krause, Hyunsoo Cho, and Weontae Lee,
Crystal Struture of Fushi Tarazu Facter 1 Ligand Binding Domain/Fushi Tarazu Peptide
Complex Identifies New Class of Nuclear Receptors,
Journal of Biological Chemistry, 286, 31225-31231 (2011).
72. Victoria A. Wagoner, Mookyung Cheon, Iksoo Chang, and Carol K. Hall,
Computer simulation study of amyloid fibril formation by palindromic sequences in prion
peptides,
PROTEINS, 79, 2132-2145 (2011).
71. Yongbin Xu, Saemee Song, Arne Moeller, Nahee Kim, Shunfu Piao, Sehoon Sim, Mooseok
Kang, Wookyung Yu, Hyunsoo Cho, Iksoo Chang, Kangseok Lee, and Namchul Ha,
Functional Implications of an Intermeshing Cogwheel-like Interaction between TolC and
MacA in the Action of Macrolide-specific Efflux Pump MacAB-TolC,
Journal of Biological Chemistry, 286, 13541-13549 (2011).
70. Heeyoun Kim, Sooyoung Ryu, Jihye, Suhkmann Kim, Iksoo Chang, and Weontae Lee,
Biochemical and NMR Characteriza of MTH1880 Mutant Proteins for Folding-Unfolding
Studies,
Bulletin of the Korea Chemical Society, 31, 3521-3524 (2010).
69. Mookyung Cheon, Iksoo Chang, and Carol K. Hall,
Extending the PRIME model for protein aggregation to all 20 amino acids,
PROTEINS, 78, 2950-2960 (2010).
68. Muyoung Heo, Mookyung Cheon and Iksoo Chang*,
Scaling Behavior of Multiple Fragmentations on a site Percolating Cluster, New Physics, 59, 119-123 (2009).
67. Dohyoung Kim, Sihyung Lee, Kihoon Nam, Seungwook Chi, Iksoo Chang, and
Kyouhoon Han
Multiple hTAFⅡ 31-binding motifs in the intrinsically unfolded transcriptional activation
domain of VP16,
BMB reports, 42, 411-417 (2009).
66. Mookyung Cheon, Kwanghoon Chung, Muyoung Heo, and Iksoo Chang*,
Double Transitions and Temperature-Independent Coarsening Dynamics of the Coupled
XY-Ising Model,
Journal of The Korean Physical Society, 53, 527-532 (2008).
65. Choongrak Kim, Mookyung Cheon, Minho Kang, and Iksoo Chang*,
A simple and exact Laplacian clustering of complex networking phenomena:
Application to gene expression profiles,
Proceeding of The National Academy of Sciences, USA. 105, 4083-4087 (2008).
64. Wookyung Yu, Kwanghoon Chung, Muyoung Heo, Mookyung Cheon, Kyou-Hoon Han,
Sihyun Ham, and Iksoo Chang*,
Cooperative Folding Kinetics of BBL protein and peripheral subunit-binding domain
homologues,
Proceeding of The National Academy of Sciences, USA. 105, 2397-2402 (2008).
63. Mookyung Cheon, Giorgio Favrin, Iksoo Chang, Christopher M. Dobson, Michele
Vendruscolo,
Calculation of the free energy barriers in the oligomerisation of Aß peptide fragments,
Frontirers in Bioscience, 13, 5614-5622 (2008).
62. Seungwook Chi, Do-hyung Kim, Si-Hyung Lee, Iksoo Chang, Kyou-Hoon Han,
Pre-structured motifs in the natively unstructured preS1 surface antigen of hepatitis B virus,
Protein Science, 16, 2108-2117 (2007).
61. Mookyung Cheon, Iksoo Chang, Sandipan Mohanty, Leila M. Luheshi, Christopher M.
Dobson, Michele V endruscolo, and Giorgio Favrin,
Structural reorganization and potential toxicity of oligomeric species formed during the
assembly of amyloid fibrils,
PLOS Computational Biology, 3, 1727-1738 (2007).
60. Heajin Kim, Eun-Jeong Moon, Sungchul Moon, Ho-jin Jung, Young-Lyeol Yang,
Young-Hoon Park, Mookyung Cheon, Iksoo Chang, and Dong-Soo Han,
New method of evaluating relative thermal stabilties of proteins based on their amino acid
sequences; Targetstar,
International Journal of Modern Physics C, 18, 1513-1526 (2007).
59. Mookyung Cheon, Eun-Joung Moon, Wookyung Yu, Iksoo Chang*, and Choongrak Kim*,
Ideintifying the biological and physical essence of protein-protein network for yeast
proteome; Eigenvalue and perturbation analysis of Laplacian matrix,
New Physics, 55, 47-52 (2007).
58. Kwanghoon Chung, Mookyung Cheon, Iksoo Chang*,
Critical Coarsening Dynamics of Spin S=1/2. 3/2 Antiferromagnetic Ising Model on
Triangular Lattice,
International Journal of Modern Physics C, 17, 591-600 (2006).
57. Mookyung Cheon, Muyong Heo, Iksoo Chang*, and Choongrak Kim*,
A self-organizing map of amino acids with their local environments in proteins by using
pairwise-contact energy parameters,
Journal of The Korean Physical Society, 47, 895-898 (2005).
56. Mookyung Cheon, Muyong Heo, Iksoo Chang*, and Choongrak Kim*,
Classifications of amino acids in proteins by the self-organizing map,
International Journal of Modern Physics C, 16, 1609-1616 (2005).
55. Muyong Heo, Suhkmann Kim, Eun-Joung Moon, Mookyung Cheon, Kwanghoon Chung, and
Iksoo Chang*,
Perceptron learning of pairwise contact energies incorporating the amino acid environment,
Physical Review E, 72, 11906-11915 (2005).
54. Muyong Heo, Mookyung Cheon, Eun-Joung Moon, Suhkmann Kim, Kwanghoon Chung,
Haejin Kim, and Iksoo Chang*,
Extension of the pairwise-contact energy parameters for proteins with the local
environments of amino acids,
Physica A, USA. 351, 439-447 (2005).
53. D. Daboul, Iksoo Chang, and A. Aharony
Test of university in the Ising spin glass using high temperature graph expansion,
The European Physical Journal B, 41, 231-254 (2004).
52. Muyong Heo, Mookyung Cheon, and Iksoo Chang*,
Nonsymmetric two-body score function for protein fold recognition: next nearest
neighbor-adjacency for two amino acids,
International Journal of Modern Physics C, 15, 1087-1094 (2004).
51. Suhkmann Kim, Kwanghoon Chung, Muyong Heo, Eun-Joung Moon, Mookyung Cheon,
Iksoo Chang*, Haejin Kim, Weontae Lee,
Development of Thermodynamic Approach on Clustering Ensemble structures for a Native
State of a Protein from NMR Experiment: Application to a Cancer Suppressor Protein P53,
Journal of The Korean Physical Society, 45, 295-301 (2004).
50. Mookyung Cheon, Muyong Heo, Eun-Joung Moon, Suhkmann Kim, Kwanghoon Chung,
Iksoo Chang*, and Haejin Kim,
Environment-Dependent One-Body Score Function for Proteins by Perceptron Learning
and the Protein Threading,
Journal of The Korean Physical Society, 45, 550-557 (2004).
49. Muyong Heo, and Iksoo Chang*,
Design and extraction of protein energy functions for fold recognition,
New Physics, 49, 105-129 (2004).
48. Mookyung Cheon, and Iksoo Chang*,
The ordering kinetics of lsing spins on the honeycomb lattice,
International Journal of Modern Physics C, 15, 835-843 (2004).
47. Mookyung Cheon, and Iksoo Chang*,
Clustering of the Protein Design Alphabets by Hierarchial Self-Organizing Map,
Journal of The Korean Physical Society, 44, 1577-1580 (2004).
46. Muyong Heo, Suhkmann Kim, Eun-Joung Moon, Mookyung Cheon, Kwanghoon Chung,
and Iksoo Chang*,
Significant Improvement of the Pairwise Contact Energies for Proteins,
Journal of The Korean Physical Society, 44, 1571-1576 (2004).
45. Iksoo Chang, Marek Cieplak, Jayanth R. Banavar, and Amos Maritan,
What can one learn from experiment about the elusive transition state?,
Protein Science, 13, 2446-2457 (2004).
44. Muyong Heo and Iksoo Chang*,
The importance and Role of Directional Local Interaction in Protien Fold Recognition,
New Physics, 48, 381-387 (2004).
43. Muyong Heo, Suhkmann Kim, Eun-Joung Moon, Mookyung Cheon, Kwanghoon Kim, and
Iksoo Chang*,
The Role and Contribution of Ramachandran Angles in Protein Fold Recognition,
New Physics, Vol.48, 283-289 (2004).
42. Mookyung Cheon, Iksoo Chang, Joel Koplik, and Jayanth R. Banavar,
Chain molecule deformation in a uniform flow - a computer experiment,
Europhysics Letters, 58, 215-221 (2002).
41. Iksoo Chang, Dietrich Stauffer, and Ras B. Pandey,
Asymmetries, Correlations and Fat Tails in Percolation Market Model,
International Journal of Theoretical Finace, 5, 585-597 (2002).
40. Jangil Kim and Iksoo Chang*,
Exact solution of the time-dependent Schrodinger equation for the Bethe lattice in the
presence of an impurity,
Journal of the Korean Physical Society, 39, 952-955 (2001).
39. Iksoo Chang, Marek Cieplak, Ruxandra Dima, Amos Maritan, and Jayanth R. Banavar,
Protein Threading by Learning,
Proceeding of The National Academy of Sciences, USA. 98, 14350-14355 (2001);
38. Iksoo Chang*,
Sznajd sociophysics model on a triangular lattice: ferro and antiferromagnetic opinions,
Int. J. Mod. Phys. C. 12, 1509-1512 (2001).
37. Iksoo Chang and Dietrich Stauffer,
Time-reversal asymmetry in Cont-Bouchaud stock market model,
Physica A. 299, 547-550 (2001).
36. Mahito Kohmoto, Iksoo Chang, and Jacques Friedel,
Enhancement of Superconductive Critical Temperatures in Almost Empty or Full Bands in
Two Dimensions: Possible Relevance to beta-HfNCl, C60 and MgB2,
Mod. Phys. Lett. 15, 359-368 (2001).
35. Mookyung Cheon and Iksoo Chang*,
Anisotropic domain growth of the axial next-nearest-negighbor Ising model at low
temperatures,
Physical Review Letters, 86, 4576-4579 (2001).
34. Iksoo Chang*,
Winding Angle Distribution of Lattice Trails in Two Dimensions,
Int. J. Mod. Phys. C. 11, 731-738 (2000).
33. Iksoo Chang*,
Winding Angle Distribution of Self-Avoiding Walks in Two Dimensions,
Int. J. Mod. Phys. C. 11, 721-729 (2000).
32. Daniel Daboul, Iksoo Chang, and Amnon Aharony,
Series Expansion Study of Quantum Percolation on the Square Lattice,
European Physical Journal B, 16, 303-316 (2000).
31. Iksoo Chang, Jacques Friedel, and Mahito Kohmoto,
Phase Transition between d-wave and anisotropic s-wave gaps in High Temperature Oxides
Superconductors,
Europhysics Letters, 50, 782-788 (2000).
30. Muyoung Heo, Mookyung Cheon, Iksoo Chang and Dietrich Stauffer,
Ising Cluster Fragmentation at the Critical Point,
Int. J. Mod. Phys. C. 10, 1059-1063 (1999).
29. Mookyung Cheon, Iksoo Chang and Dietrich Stauffer,
Monte Carlo Investigation of Three-Exponent Scaling in the 5D Ising Model,
Int. J. Mod. Phys. C. 10, 131-134 (1999).
28. Mookyung Cheon and Iksoo Chang*,
Fragmentation Scaling of Percolation Clusters in Two and Three Dimensions :
Large Cell Monte Carlo RG Approach,
Europhysics Letters, 46, 6-12 (1999).
27. Mookyung Cheon, Muyoung Heo, Iksoo Chang and Dietrich Stauffer,
Fragmentation of Percolation Clusters in General Dimensions,
Phys. Rev. E. 59, R4733-4736 (1999).
26. Dietrich Stauffer and Iksoo Chang*,
Ising Cluster Kinetics at the Critical Point,
J. Stat. Phys. 95, 507-510 (1999).
25. Iksoo Chang and Dietrich Stauffer,
Fundamental Judgements in Cont-Bouchaud Herding Model of Market Fluctuation,
Physica A, 264, 294-298 (1999).
24. Kipom Kim, Hyuk Kyu Pak* and Iksoo Chang*,
Velocity Profiles of Subharmonic Waves in Granular Materials,
J. Kor. Phys. Soc. 34, 538-541 (1999).
23. Kipom Kim, Yonggeon Jeon, Hyuk Kyu Pak and Iksoo Chang*,
Kinetic Origin of Subharmonic Pattern Formation in Granular Materials,
New Physics, 38, S84-87 (1998).
22. Jong-Rim Lee, Sungjong Lee, Bongsoo Kim and Iksoo Chang*,
Ordering kinetics in the two dimensional classical Coulomd gas of half-integer charges on
a square lattice : temperature dependent growth and roughening transition,
Phys. Rev. Lett. 79, 2172-2175 (1997).
21. Mookyung Cheon and Iksoo Chang*,
Fragmentation Scaling of the Percolation Cluster ,
Springer Proceedings in Physics, Springer Verlag, 83, 161-167 (1997).
20. Joan Adler and Iksoo Chang*,
Visualization of Series Analysis for Critical Behavior with logarithms,
Int. J. Mod. Phys. C. 8, 567-574 (1997).
19. Iksoo Chang, K. Ikezawa and M. Kohmoto,
Multifractal Properties of the Square Lattice Tight-Binding Model With Next Nearest
Neighbor Hopping in a Magnetic Field,
Phys. Rev. B. 55, 12971-12975 (1997).
18. Iksoo Chang and Hagai Meirovitch,
Surface Critical Exponents of Linear Polymers on a Square Lattics :
The Universality Classes of the θ and θ' Points, Proceedings in Physics,
Springer Proceeding in Physics, Springer Verlag, 82, 139-143 (1996).
17. Jong-Rim Lee, Sung Jong Lee, Bongsoo Kim and Iksoo Chang*,
Kinetics of Phase Ordering in Two-Dimensional Coupled XY-Ising Model,
Phys. Rev. E. 54, 3257-3263 (1996).
16. Iksoo Chang, Zvi Lev, A. B. Harris, Joan Adler and Amnon Aharony,
Localization Transition in Quantum Percolation,
Journal of The Korean Physical Society, 28, S623-627 (1995).
15. Iksoo Chang, Zvi Lev, A. B. Harris, Joan Adler and Amnon Aharony,
Localization Transition in Quantum Percolation,
Springer Prodeedings in Physics, 80, 133-139 (1995), Computer Simulation Studies in
Condensed Matter Physics VIII (Springer-Verlag, Edited by D.P. Landau, K.K. Mon and
H.-B Schuttlet)
14. Iksoo Chang, Zvi Lev, A. B. Harris, Joan Adler and Amnon Aharony,
Localization Length Exponent in Quantum Percolation,
Phys. Rev. Lett. 74, 2094-2097 (1995).
13. Hagai Meirovitch and Iksoo Chang*,
Reply to "Comment on 'Surface Critical Exponents of Self-Avoiding Walks On a Square
Lattice With an Adsorbing Linear Boundary : A Computer Simulation Study'",
Phys. Rev. E. 51, 2677-2679 (1995).
12. Iksoo Chang and Hagai Meirovitch,
Collapse Transition of Self-Avoiding Walks on a Square Lattice in The Bulk and Near
a Linear Wall: The Universality Classes of the θ and θ' Points,
Phys. Rev. E. 48, 3656-3660 (1993).
11. Hagai Meirovitch and Iksoo Chang*,
Surface Critical Exponents of Self-Avoiding Walks on a Square Lattice with an Adsorbing
Boundary : A Computer Simulation Study,
Phys. Rev. E. 48, 1960-1969 (1993).
10. Iksoo Chang and Michael Rubinstein,
Reptation Dynamics of an Entangled Linear Polymer in a Fixed Network,
Physics of Complex Fluid and Biological Systems, 29, 27-50 (1993).
(Min Eum Sa, Edited by W. Sung, Y.H. Jeong and S.I. Choi)
9. Joan Adler, Iksoo Chang and Shye Shapira,
Visualization of Graphical Methods of Series Analysis,
Int. J. Mod. Phys. C. 4, 1007-1022 (1993).
8. Iksoo Chang and Hagai Meirovitch,
Surface Critical Exponents of Self-Avoiding Walks and Trails on a Square Lattice:
The Universality Classes of the θ and θ' Points,
Phys. Rev. Lett. 69, 2232-2235 (1992).