TY - JOUR

T1 - Stability of commensurate phases near the critical temperature

T2 - A renormalization-group calculation

AU - Aharony, Amnon

AU - Bak, Per

PY - 1981

Y1 - 1981

N2 - The phase diagram of a modulated system in a field which changes the periodicity is investigated near the critical temperature. For certain values of the field, the system can gain energy by locking into phases where the wave vector is commensurable with the reciprocal-lattice vectors. The widths, k, of these phases are calculated by renormalization-group theory in 4- dimensions. We find k[(Tc-T)T]k, with k=12(k-1)1+2k2-4k+310(k-1)-8k3-20k2+6k+1100(k-1)2, where 2k is the order of the commensurability. Near Tc, the wave vector locks into every single commensurate value as the field is varied, thus generating a "devil's staircase"-like behavior.

AB - The phase diagram of a modulated system in a field which changes the periodicity is investigated near the critical temperature. For certain values of the field, the system can gain energy by locking into phases where the wave vector is commensurable with the reciprocal-lattice vectors. The widths, k, of these phases are calculated by renormalization-group theory in 4- dimensions. We find k[(Tc-T)T]k, with k=12(k-1)1+2k2-4k+310(k-1)-8k3-20k2+6k+1100(k-1)2, where 2k is the order of the commensurability. Near Tc, the wave vector locks into every single commensurate value as the field is varied, thus generating a "devil's staircase"-like behavior.

UR - http://www.scopus.com/inward/record.url?scp=25044469255&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.23.4770

DO - 10.1103/PhysRevB.23.4770

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AN - SCOPUS:25044469255

SN - 0163-1829

VL - 23

SP - 4770

EP - 4772

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

IS - 9

ER -