Abstract
We discuss striped phases as a state of matter intermediate between two extreme states: a crystalline state and a segregated state. We argue that this state is very sensitive to weak interactions, compared to those stabilizing a crystalline state, and to anisotropies. Moreover, under suitable conditions a 2D system in a striped phase decouples into (quasi) 1D chains. These observations are based on results of our studies of an extension of a microscopic quantum model of crystallization, proposed originally by Kennedy and Lieb.
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K. Kern, H. Niehus, A. Schatz, P. Zeppenfeld, J. Goerge, G. Comsa, Phys. Rev. Lett. 67, 855 (1991)
R. Allenspach, A. Bischof, Phys. Rev. Lett. 69, 3385 (1992)
M. Seul, R. Wolfe, Phys. Rev. Lett. 68, 2460 (1992)
D. Poilblanc, T.M. Rice, Phys. Rev. B 39, 9749 (1989); J. Zaanen, O. Gunnarsson, Phys. Rev. B 40, 7391 (1989)
K. Machida, Physica C 158, 192 (1989); M. Kato, K. Machida, H. Nakanishi, M. Fujita, J. Phys. Soc. Jpn 59, 1047 (1990)
A.M. Oleś, Acta Physica Polonica B 31, 2963 (2000)
S.R. White, D.J. Scalapino, Phys. Rev. Lett. 80, 1272 (1998)
S.R. White, D.J. Scalapino, Phys. Rev. Lett. 81, 3227 (1998)
A.W. Sandvik, S. Daul, R.R.P. Singh, D.J. Scalapino, Phys. Rev. Lett. 89, 247201 (2002)
N.G. Zhang, C.L. Henley, Phys. Rev. B 68, 014506 (2003)
C.L. Henley, N.-G. Zhang, Phys. Rev. B 63, 233107 (2001)
R. Lemański, J. K. Freericks, G. Banach, Phys. Rev. Lett. 89, 196403 (2002)
V. Derzhko, J. Jędrzejewski, Physica A 349, 511 (2005)
K. Sasaki, Surf. Sci. 318, L1230 (1994)
U. Löw, V.J. Emery, K. Fabricius, S.A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994)
I. Booth, A.B. MacIsaac, J.P. Whitehead, K. De’Bell, Phys. Rev. Lett. 75, 950 (1995)
J. Arlett, J.P. Whitehead, A.B. MacIsaac, K. De’Bell, Phys. Rev. B 54, 3394 (1996)
A.D. Stoycheva, S.J. Singer, Phys. Rev. Lett. 84, 4657 (2000)
D. Valdez-Balderas, D. Stroud, Phys. Rev. B 72, 214501 (2005)
Z. Nussinov, e-print arXiv:cond-matt/0105253
A. Giuliani, J.L. Lebowitz, E.H. Lieb, Phys. Rev. B 74, 064420 (2006); A. Giuliani, J.L. Lebowitz, E.H. Lieb, Phys. Rev. B 76, 184426 (2007); A. Giuliani, J.L. Lebowitz, E.H. Lieb, e-print arXiv:0811.3078
J.M. Tranquada, D.J. Buttrey, V. Sachan, J.E. Lorenzo, Phys. Rev. Lett. 73, 1003 (1994)
J.M. Tranquada, B.J. Sternlieb, J.D. Axe, Y. Nakamura, S. Uchida, Nature (London) 375, 561 (1995)
T. Kennedy, E.H. Lieb, Physica A 138, 320 (1986)
L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)
U. Brandt, R. Schmidt, Z. Phys. B 63, 45 (1986)
C. Gruber, N. Macris, Helv. Phys. Acta 69, 850 (1996)
J. Jędrzejewski, R. Lemański, Acta Phys. Pol. B 32, 3243 (2001)
T. Kennedy, Rev. Math. Phys. 6, 901 (1994)
A. Messager, S. Miracle-Solé, Rev. Math. Phys. 8, 271 (1996)
C. Gruber, N. Macris, A. Messager, D. Ueltschi, J. Stat. Phys. 86, 57 (1997)
N. Datta, R. Fernández, J. Fröhlich, J. Stat. Phys. 96, 545 (1999)
T. Kennedy, J. Stat. Phys. 91, 829 (1998)
K. Haller, Commun. Math. Phys. 210, 703 (2000)
K. Haller, T. Kennedy, J. Stat. Phys. 102, 15 (2001)
C. Gruber, D. Ueltschi, J. Jędrzejewski, J. Stat. Phys. 76, 125 (1994)
Z. Gajek, J. Jędrzejewski, R. Lemański, Physica A 223, 175 (1996)
G.I. Watson, R. Lemański, J. Phys. Cond. Matt. 7, 9521 (1995)
P. Farkasovsky, Eur. Phys. J. B 20, 209 (2001)
P. Lemberger, J. Phys. A 25, 715 (1992)
J.K. Freericks, E.H. Lieb, D. Ueltschi, Phys. Rev. Lett. 88, 106401 (2002)
J.K. Freericks, E.H. Lieb, D. Ueltschi, Commun. Math. Phys. 227, 243 (2002)
V. Derzhko, J. Jędrzejewski, J. Stat. Phys. 126, 467 (2007)
I. Booth, A.B. MacIsaac, J.P. Whitehead, K. De’Bell, Phys. Rev. Lett. 75, 950 (1995)
R. Jamei, S. Kivelson, B. Spivak, Phys. Rev. Lett. 94, 056805 (2005)
B. Spivak, S.A. Kivelson, Phys. Rev. B 70, 155114 (2004)
V. Derzhko, J. Jędrzejewski, Physica A 328, 449 (2003)
D. Valdez-Balderas, D. Stroud, Phys. Rev. B 72, 214501 (2005)
V. Derzhko, J. Phys. A 39, 11145 (2006)
J. Jędrzejewski, T. Krokhmalskii, Europhys. Lett. 78, 37002 (2007)
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Derzhko, V., Jędrzejewski, J. & Krokhmalskii, T. On the nature of striped phases: striped phases as a stage of “melting” of 2D crystals. Eur. Phys. J. B 68, 501–510 (2009). https://doi.org/10.1140/epjb/e2009-00120-9
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DOI: https://doi.org/10.1140/epjb/e2009-00120-9