TY - JOUR
T1 - Scaling Theory of Transitions between the Mott Insulator and Quantum Fluids
AU - Imada, Masatoshi
PY - 1994/1/1
Y1 - 1994/1/1
N2 - Critical properties of the transition between the Mott insulator and quantum fluids are investigated by using the scaling theory. The Mott insulating phase and the quantum fluid phase of bi-component systems are categorized into several types depending on the existence of order and the type of excitation spectra. The critical exponents of the transition in multicomponent systems are discussed for various combinations of metal-insulator and superfiuid-insulator transitions. For the generic transition between a genuinely multicomponent metal and the Mott insulator in d dimensions, the hyperscaling is satisfied with the correlation exponent v = 1/2d, the dynamical exponent z=2d, and the Drude weight exponent [formula omitted]. It is argued that the upper critical dimension dc satisfies dc≥2. The above exponents are compared with v=l/2, z=2t and ≥ for the transition to the band insulator. Critical properties of the energy gap, the compressibility and other quantities are also discussed.
AB - Critical properties of the transition between the Mott insulator and quantum fluids are investigated by using the scaling theory. The Mott insulating phase and the quantum fluid phase of bi-component systems are categorized into several types depending on the existence of order and the type of excitation spectra. The critical exponents of the transition in multicomponent systems are discussed for various combinations of metal-insulator and superfiuid-insulator transitions. For the generic transition between a genuinely multicomponent metal and the Mott insulator in d dimensions, the hyperscaling is satisfied with the correlation exponent v = 1/2d, the dynamical exponent z=2d, and the Drude weight exponent [formula omitted]. It is argued that the upper critical dimension dc satisfies dc≥2. The above exponents are compared with v=l/2, z=2t and ≥ for the transition to the band insulator. Critical properties of the energy gap, the compressibility and other quantities are also discussed.
KW - Mott transition
KW - critical exponents
KW - hyperscaling
KW - metal-insulator transition
KW - multicomponent system
KW - scaling theory
KW - superfluid-insulator transition
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U2 - 10.1143/JPSJ.63.4294
DO - 10.1143/JPSJ.63.4294
M3 - Article
AN - SCOPUS:21844510922
VL - 63
SP - 4294
EP - 4297
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 12
ER -