TY - CHAP
T1 - Roles of quantum fluctuation in frustrated systems - Order by disorder and reentrant phase transition
AU - Tanaka, Shu
AU - Hirano, M.
AU - Miyashita, S.
PY - 2010
Y1 - 2010
N2 - Frustration in systems shows many interesting equilibrium and dynamical properties [1-6]. In frustrated classical systems, there is no ground state where all the interactions are satisfied energetically. Because the ground states in regularly frustrated classical systems have many energetically unsatisfied interactions, there are many degenerated ground states and the residual entropy is larger than that of unfrustrated systems. Figure 10.1 shows the ground states of three Ising spins on antiferromagnetic triangle cluster. The closed and open circles in Fig. 10.1 denote up and down spins, respectively. The crosses in Fig. 10.1 represent energetically unsatisfied interactions.
AB - Frustration in systems shows many interesting equilibrium and dynamical properties [1-6]. In frustrated classical systems, there is no ground state where all the interactions are satisfied energetically. Because the ground states in regularly frustrated classical systems have many energetically unsatisfied interactions, there are many degenerated ground states and the residual entropy is larger than that of unfrustrated systems. Figure 10.1 shows the ground states of three Ising spins on antiferromagnetic triangle cluster. The closed and open circles in Fig. 10.1 denote up and down spins, respectively. The crosses in Fig. 10.1 represent energetically unsatisfied interactions.
UR - http://www.scopus.com/inward/record.url?scp=77956042363&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77956042363&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-11470-0_10
DO - 10.1007/978-3-642-11470-0_10
M3 - Chapter
AN - SCOPUS:77956042363
SN - 9783642114694
VL - 802
T3 - Lecture Notes in Physics
SP - 215
EP - 234
BT - Lecture Notes in Physics
ER -