Coupled
Spin Models| Coupled
Spin Models |
In General > s.a. [field theory]; entropy;
path integrals; spinors
in field theory; statistical mechanics.
* Frustration: A situation
in the classical theory in which there is little or no long-range ordering
between coupled lattice sites in the ground
state, e.g., in spin-glass theory with a tetrahedral lattice, there are antiferromagnetic
couplings between magnetic spins that cannot be antiparallel.
@ Frustration: Lee et al Nat(02)aug
[emergent excitations]; Moessner & Ramírez PT(06)feb;
Koma
a0805 [topology];
Richert PLA(08)
[Berry phase as test for low-energy spectrum].
@ Thermodynamics: Rojas et al JMP(02)
[high-T expansion]; Berche
& López EJP(06)
[pedagogic]; Benedetti & Loll PhyA(07) [coupled to causal dynamically triangulated
lattice].
Spin Glasses
@ General references: Binder & Young RMP(86);
Mézard et al 87; Ciliberti & Marinari JSP(04)cm/03 [ultrametricity];
Dias Barreto & Fidaleo CMP(04)
[KMS states]; Janutka PS(05)
[sound propagation]; De Dominicis & Giardina 06 [and random fields].
@ Mean field theory: Chowdhury & Mookerjee PRP(84);
Guerra & Toninelli JPA(03);
Guerra cm/04-in;
Koukiou a0806 [lower bound on ground state energy].
Other Models
@ Two spins: Emerson & Ballentine PRA(01)qp/00,
PRE(01)qp [quantum/classical];
Lednicky & Lyuboshitz PLB(01)
[correlations]; D'Alessandro qp/03 [em
field, measurements].
@ Many spins: Godrèche & Luck JPA(00)
[ferromagnetic, quenched]; Carbone et al NPB(01)gq/00 [hierarchies];
Latora et al PRE(01)cm,
PhyA(02)cm/01 [and
thermodynamic limit]; Albertini & D'Alessandro qp/01 [Lie
algebra structure]; Wesenberg & Mølmer
PRA(02)qp [mixed
states]; Shik et al NPB(03)
[soluble]; Albertini & D'Alessandro
qp/03 [determining H experimentally];
van Enter & Ruszel mp/06 [chaotic T =
0 limit]; Ribeiro & Klümper NPB(08),
Sarkar NPB(08) [antiferromagnetic].
@ One spin + other system: Ballentine PRA(91),
PRA(91) [+ polarized beam of spins].
@ Integrable: Prosen JPA(98); Steinigeweg & Schmidt mp/05;
> s.a. integrable systems.
@ Heisenberg models: Schmidt cm/02 [energy
bounds]; Subrahmanyam PRA(04)qp/03,
PRA(04)qp/03 [entanglement];
Santos et al PRA(04)qp/03 [chaos
and entanglement]; Wang et al qp/05 [spin-1,
entanglement]; Nachtergaele & Starr mp/05-in
[energy levels]; Kumar et al PLA(06)
[2+1 continuum, non-integrability]; Kapikranian et al JPA(07)
[2D, ordering]; Brown et al PRE(08)-a0707 [chaos
and entanglement].
@ XY chain: Aschbacher LMP(07)
[non-equilibrium steady state entropy]; Franchini et al JPA(08)
[Renyi entropy]; Dhahri JPA(08) [+ bath].
@ XXZ Heisenberg model: Razumov & Stroganov JPA(01), JPA(01)cm; Fessatidis
et al PLA(08)
[ground state, t-expansion
method].
@ Other lattices: Nepomechie
IJMPB(99)ht/98-in
[XXX, introduction]; Anglès d'Auriac et al JPA(01)
[hyperbolic lattice]; Wootters qp/02 [parallel
transport]; Ercolessi MPLA(03)
[history]; Christandl et al PRL(04)qp/03 [qubit
networks]; Yarotsky JMP(04)
[perturbations, ground state]; Nachtergaele et al JSP(06)
[propagation of correlations].
@ Random lattices: Janke PhyA(00)
[2D Potts]; Janke & Johnston NPB(00)hl/99 [Ising
and Potts]; Grimmett 06; Bovier & Kurkova JSP(07)
[energy statistics]; Burrell & Osborne PRL(07)qp [disordered
XY model, information
propagation].
Quantum Aspects > s.a. coherent
states; Husimi Functions; modified
quantum mechanics; stochastic
processes [Markov].
@ General references: Nachtergaele qp/04-in
[intro]; Bruce NCB(07)
[description in non-relativistic quantum mechanics].
@ Graph states: Hein et al qp/06-in
[intro, and entanglement].
@ Entanglement: Xu et al PLA(02)
[1D chain]; Bose & Chattopadhyay PRA(02)
[jumps]; Schliemann PRA(03)qp/02 [two
spins]; Hein et al PRA(04)qp/03 [graph
states]; Brennen & Bullock PRA(04)qp [1D
chain, thermal state]; Dür et al PRL(05)qp/04 [long-range
interactions]; Aharonov et al PRA(04)
[two spin-1/2]; Roscilde et al qp/04-in
[critical systems]; Gühne et al NJP(05);
Hamieh & Katsnelson PRA(05)qp [dynamics];
Biskup et al CMP(07)mp/05 [finite T];
Sreedhar MPLA(07)ht/06 [topological
origin]; Perseguers et al a0708 [pure
states, entanglement distribution]; Plastina & Apollaro PRL(07)-a0712 [local
control].
@ Entanglement and criticality, phase transitions: Brody et al qp/01;
Wei et al PRA(05)qp/04;
Roscilde et al PRL(04)cm [s =
1/2 chains]; Gu et al NJP(06)qp/05 [XXZ
models]; Reuter et al PRS(07)qp/06 [geometric
phases]; Cui et al PLA(08) [3D Heisenberg model]; > s.a. phase
transitions and quantum
phase transitions.
@ Spin + bath, decoherence: Tessieri & Wilkie JPA(03);
García-Palacios & Dattagupta PRL(05)qp;
Hamdouni & Petruccione a0710-PRB.;
Merkli et al a0804;
Rodríguez & Gutiérrez a0806 [non-Markovian
dynamics]; Sinaysky et al a0807 [two baths at different temperatures].
@ Computation: Marzuoli & Rasetti AP(05);
Kay & Ericsson NJP(05)qp;
Bravyi et al a0707 [algorithm
for ground state energy].
@ Information propagation / transport:
Osborne & Linden PRA(04); Cappellaro
et al a0706.
@ Related topics: Netony
& Redig JSP(04)
[large deviations]; Murg et al PRL(05)cm [partition
functions]; Paramekanti & Marston JPC(07)cm/06 [SU(n)
models]; Crawford CMP(07)
[mean-field, thermodynamics and universality]; Fröhlich et al LMP(07)-a0709 [semiclassical
dynamics]; Nachtergaele & Sims a0712-in
[locality]; Giraud et al a0805 [classicality]; > s.a. zeno
effect.
Other Models > see dirac fields; ising model; lattice field theory; quantum systems; spin foam; spin networks; SU(2); supersymmetric field theories.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
20 jul 2008