Antiferromagnetic, metal-insulator, and superconducting phase transitions in underdoped cuprates: Slave-fermion t-J model in the hopping expansion

Journal Article · Tue Feb 01 04:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.83.064502· OSTI ID:21538120

Shimizu, Akihiro; Aoki, Koji; Ichinose, Ikuo ^[1]; Sakakibara, Kazuhiko ^[2]; Matsui, Tetsuo ^[3]

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1. Department of Applied Physics, Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555 (Japan)
2. Department of Physics, Nara National College of Technology, Yamatokohriyama 639-1080 (Japan)
3. Department of Physics, Kinki University, Higashi-Osaka 577-8502 (Japan)

We study a system of doped antiferromagnet in three dimensions at finite temperatures using the t-J model, a canonical model of strongly correlated electrons. We employ the slave-fermion representation of electrons, in which an electron is described as a composite of a charged spinless holon and a chargeless spinon. We introduce two kinds of U(1) gauge fields on links as auxiliary fields, one describing resonating valence bonds of antiferromagnetic nearest-neighbor spin pairs and the other for nearest-neighbor hopping amplitudes of holons and spinons in the ferromagnetic channel. To perform a numerical study of the system, we integrate out the fermionic holon field by using the hopping expansion in powers of the hopping amplitude, which is legitimate for the region in and near the insulating phase. The resultant effective model is described in terms of bosonic spinons, two U(1) gauge fields, and a collective field for hole pairs. We study this model by means of Monte Carlo simulations, calculating the specific heat, spin correlation functions, and instanton densities. We obtain a phase diagram in the hole concentration-temperature plane, which is in good agreement with that observed recently for clean and homogeneous underdoped samples.

• OSTI ID: 21538120
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 6 Vol. 83; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ANTIFERROMAGNETISM
CALCULATION METHODS
COMPUTERIZED SIMULATION
COPPER COMPOUNDS
CORRELATION FUNCTIONS
CORRELATIONS
CUPRATES
DENSITY
DIAGRAMS
DOPED MATERIALS
ELECTRON CORRELATION
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
EXPANSION
FERMIONS
FUNCTIONS
GAUGE INVARIANCE
INFORMATION
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MAGNETISM
MATERIALS
MATHEMATICS
METALS
MONTE CARLO METHOD
NUMERICAL ANALYSIS
OXYGEN COMPOUNDS
PARTICLE PROPERTIES
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SIMULATION
SPECIFIC HEAT
SPIN
SYMMETRY GROUPS
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENT COMPOUNDS
U GROUPS
U-1 GROUPS