We have studied the doping-driven orbital-selective Mott transition in multi-band Hubbard models with equal band width in the presence of crystal field splitting. Crystal field splitting lifts one of the bands while l...We have studied the doping-driven orbital-selective Mott transition in multi-band Hubbard models with equal band width in the presence of crystal field splitting. Crystal field splitting lifts one of the bands while leaving the others degener- ate. We use single-site dynamical mean-field theory combined with continuous time quantum Monte Carlo impurity solver to calculate a phase diagram as a function of total electron filling N and crystal field splitting A. We find a large region of orbital-selective Mott phase in the phase diagram when the doping is large enough. Further analysis indicates that the large region of orbital-selective Mott phase is driven and stabilized by doping. Such models may account for the orbital-selective Mott transition in some doped realistic strongly correlated materials.展开更多
High-pressure ultrafast dynamics,as a new crossed research direction,are sensitive to subtle non-equilibrium state changes that might be unresolved by equilibrium states measurements,providing crucial information for ...High-pressure ultrafast dynamics,as a new crossed research direction,are sensitive to subtle non-equilibrium state changes that might be unresolved by equilibrium states measurements,providing crucial information for studying delicate phase transitions caused by complex interactions in Mott insulators.With time-resolved transient reflectivity measurements,we identified the new phases in the spin–orbit Mott insulator Sr_(3)Ir_(2)O_7 at 300 K that was previously unidentified using conventional approaches such as x-ray diffraction.Significant pressure-dependent variation of the amplitude and lifetime obtained by fitting the reflectivity?R/R reveal the changes of electronic structure caused by lattice distortions,and reflect the critical phenomena of phase transitions.Our findings demonstrate the importance of ultrafast nonequilibrium dynamics under extreme conditions for understanding the phase transition of Mott insulators.展开更多
Mott transition in a ruby lattice with fermions described by the Hubbard model including on-site repulsive interaction is investigated by combining the cellular dynamical mean-field theory and the continuous-time quan...Mott transition in a ruby lattice with fermions described by the Hubbard model including on-site repulsive interaction is investigated by combining the cellular dynamical mean-field theory and the continuous-time quantum Monte Carlo algorithm. The effect of temperature and on-site repulsive interaction on the metallic–insulating phase transition in ruby lattice with fermions is discussed based on the density of states and double occupancy. In addition, the magnetic property of each phase is discussed by defining certain magnetic order parameters. Our results show that the antiferromagnetic metal is found at the low temperature and weak interaction region and the antiferromagnetic insulating phase is found at the low temperature and strong interaction region. The paramagnetic metal appears in whole on-site repulsive interaction region when the temperature is higher than a certain value and the paramagnetic insulator appears at the middle scale of temperature and on-site repulsive interaction.展开更多
The symmetric and the asymmetric double-chain Bose-Hubbard Models( BHMs) are studied by the mean-field theory. By using Landau's quantum phase transition theory,phase diagrams for systems with different hopping en...The symmetric and the asymmetric double-chain Bose-Hubbard Models( BHMs) are studied by the mean-field theory. By using Landau's quantum phase transition theory,phase diagrams for systems with different hopping energies and repulsive interactions are obtained. Thereby,Mott-insulator-superfluid( MISF)phase transition boundaries are determined. Our results show that tunneling effects between two chains provide additional channels for particles hopping between corresponding optical lattice sites of different chains,which makes easier for systems to transit from MI to SF phase. The two-site parity function is also utilized to investigate the properties of the system near the quantum phase transit point.We found that the increase of inter-chain hopping will reinforce the tunneling effects between two chains,and reduce the intrachain tunneling effects within the same chain.展开更多
The proximity-coupled superconducting island arrays on a metallic film provide an ideal platform to study the phase transition of vortex states under mutual interactions between the vortex and potential landscape. We ...The proximity-coupled superconducting island arrays on a metallic film provide an ideal platform to study the phase transition of vortex states under mutual interactions between the vortex and potential landscape. We have developed a topdown microfabrication process for Nb island arrays on Au film by employing an Al hard mask. A current-induced dynamic vortex Mott transition has been observed under the perpendicular magnetic fields of f magnetic flux quantum per unit cell,which is characterized by a dip-to-peak reversal in differential resistance dV/dI vs. f curve with the increasing current.The dV/dI vs. I characteristics show a scaling behavior near the magnetic fields of f = 1/2 and f = 1, with the critical exponents ε of 0.45 and 0.3, respectively, suggesting different universality classes at these two fields.展开更多
We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theo...We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).展开更多
We present a simple demonstration of the nonfeasibility of metal-insulator transition in an exactly two-dimensional （2D） system. The Hartree-Fock potential in the 3D system is suitably modified and presented for the...We present a simple demonstration of the nonfeasibility of metal-insulator transition in an exactly two-dimensional （2D） system. The Hartree-Fock potential in the 3D system is suitably modified and presented for the 2D case. The many body effects are included in the screening function, and binding energies of a donor are obtained as a function of impurity concentration so as to find out the possible way leading metal-insulator transition in the 2D system. While solving for the binding energy for a shallow donor in an isolated well of a GaAs/Ga1-x Als As superlattice system within the effective mass approximation, it leads to unphysical results for higher concentrations. It shows that the phase transition, the bound electron entering into the conduction band whereby （H）min=0, is not possible beyond this concentration. The results suggest thai a phase transition is impossible in 213 systems, supporting the scaling theory of localization. The results are compared with the existing data available and discussed in the light of existing literature.展开更多
We discuss the proper definition for the chiral crossover at finite temperature,based on Goldstone's theorem.Different from the commonly used maximum change in chiral condensate,we propose defining the crossover t...We discuss the proper definition for the chiral crossover at finite temperature,based on Goldstone's theorem.Different from the commonly used maximum change in chiral condensate,we propose defining the crossover temperature using the Mott transition of pseudo-Goldstone bosons,which,by definition,guarantees Goldstone's theorem.We analytically and numerically demonstrate this property in the frame of a Pauli-Villars regularized NJL model.In an external magnetic field,we find that the Mott transition temperature shows an inverse magnetic catalysis effect.展开更多
采用固相反应法制备了La0.67Ca0.33Mn1-xFexO3(0 x 0.2)系列样品.实验研究了Fe离子掺杂稀土锰氧化物La0.67Ca0.33MnO3的电输运性质、微观结构和导电机制.结果表明:样品高温下导电遵从Mott变程跳跃机制;相同温度下烧结的样品,体系电阻率...采用固相反应法制备了La0.67Ca0.33Mn1-xFexO3(0 x 0.2)系列样品.实验研究了Fe离子掺杂稀土锰氧化物La0.67Ca0.33MnO3的电输运性质、微观结构和导电机制.结果表明:样品高温下导电遵从Mott变程跳跃机制;相同温度下烧结的样品,体系电阻率急剧增加,绝缘—金属转变温度TIM向低温方向移动.相同Fe替代含量的样品,在1200℃、1250℃、1300℃3个不同烧结温度下,晶格常数c变化不大,晶格常数a、b和晶胞体积随着烧结温度的升高而减小,晶体颗粒和体系电阻率随着烧结温度的升高而增大,绝缘—金属转变温度TIM向高温方向移动.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.2011CBA00108)the National Basic Research Program of China(Grant No.2013CB921700)
文摘We have studied the doping-driven orbital-selective Mott transition in multi-band Hubbard models with equal band width in the presence of crystal field splitting. Crystal field splitting lifts one of the bands while leaving the others degener- ate. We use single-site dynamical mean-field theory combined with continuous time quantum Monte Carlo impurity solver to calculate a phase diagram as a function of total electron filling N and crystal field splitting A. We find a large region of orbital-selective Mott phase in the phase diagram when the doping is large enough. Further analysis indicates that the large region of orbital-selective Mott phase is driven and stabilized by doping. Such models may account for the orbital-selective Mott transition in some doped realistic strongly correlated materials.
基金The project supported by the National Key Research and Development Program of China(Grant No.2018YFA0305703)Science Challenge Project(Grant No.TZ2016001)the National Natural Science Foundation of China(Grant Nos.U1930401 and 11874075)。
文摘High-pressure ultrafast dynamics,as a new crossed research direction,are sensitive to subtle non-equilibrium state changes that might be unresolved by equilibrium states measurements,providing crucial information for studying delicate phase transitions caused by complex interactions in Mott insulators.With time-resolved transient reflectivity measurements,we identified the new phases in the spin–orbit Mott insulator Sr_(3)Ir_(2)O_7 at 300 K that was previously unidentified using conventional approaches such as x-ray diffraction.Significant pressure-dependent variation of the amplitude and lifetime obtained by fitting the reflectivity?R/R reveal the changes of electronic structure caused by lattice distortions,and reflect the critical phenomena of phase transitions.Our findings demonstrate the importance of ultrafast nonequilibrium dynamics under extreme conditions for understanding the phase transition of Mott insulators.
基金Project supported by Inner Mongolia Natural Science Foundation,China(Grant No.06021601)
文摘Mott transition in a ruby lattice with fermions described by the Hubbard model including on-site repulsive interaction is investigated by combining the cellular dynamical mean-field theory and the continuous-time quantum Monte Carlo algorithm. The effect of temperature and on-site repulsive interaction on the metallic–insulating phase transition in ruby lattice with fermions is discussed based on the density of states and double occupancy. In addition, the magnetic property of each phase is discussed by defining certain magnetic order parameters. Our results show that the antiferromagnetic metal is found at the low temperature and weak interaction region and the antiferromagnetic insulating phase is found at the low temperature and strong interaction region. The paramagnetic metal appears in whole on-site repulsive interaction region when the temperature is higher than a certain value and the paramagnetic insulator appears at the middle scale of temperature and on-site repulsive interaction.
基金Sponsored by the National Natural Science Foundation China(Grant No.11504106)the Special Foundation for Theoretical Physics Research Program of China(Grant No.11447167)
文摘The symmetric and the asymmetric double-chain Bose-Hubbard Models( BHMs) are studied by the mean-field theory. By using Landau's quantum phase transition theory,phase diagrams for systems with different hopping energies and repulsive interactions are obtained. Thereby,Mott-insulator-superfluid( MISF)phase transition boundaries are determined. Our results show that tunneling effects between two chains provide additional channels for particles hopping between corresponding optical lattice sites of different chains,which makes easier for systems to transit from MI to SF phase. The two-site parity function is also utilized to investigate the properties of the system near the quantum phase transit point.We found that the increase of inter-chain hopping will reinforce the tunneling effects between two chains,and reduce the intrachain tunneling effects within the same chain.
基金support from the National Natural Science Foundation of China (Grant Nos. 11974412 and 11774400)the National Key R&D Program of China (Grant Nos. 2017YFA0302903 and 2018YFA0305703)。
文摘The proximity-coupled superconducting island arrays on a metallic film provide an ideal platform to study the phase transition of vortex states under mutual interactions between the vortex and potential landscape. We have developed a topdown microfabrication process for Nb island arrays on Au film by employing an Al hard mask. A current-induced dynamic vortex Mott transition has been observed under the perpendicular magnetic fields of f magnetic flux quantum per unit cell,which is characterized by a dip-to-peak reversal in differential resistance dV/dI vs. f curve with the increasing current.The dV/dI vs. I characteristics show a scaling behavior near the magnetic fields of f = 1/2 and f = 1, with the critical exponents ε of 0.45 and 0.3, respectively, suggesting different universality classes at these two fields.
文摘We reconsider the Mott transition in the context of a two-dimensional fermion model with density-density coupling. We exhibit a Hilbert space mapping between the original model and the Double Lattice Chern-Simons theory at the critical point by use of the representation theory of the q-oscillator and Weyl algebras. The transition is further characterized by the ground state modification. The explicit mapping provides a new tool to further probe and test the detailed physical properties of the fermionic lattice model considered here and to enhance our understanding of the Mott transition(s).
文摘We present a simple demonstration of the nonfeasibility of metal-insulator transition in an exactly two-dimensional （2D） system. The Hartree-Fock potential in the 3D system is suitably modified and presented for the 2D case. The many body effects are included in the screening function, and binding energies of a donor are obtained as a function of impurity concentration so as to find out the possible way leading metal-insulator transition in the 2D system. While solving for the binding energy for a shallow donor in an isolated well of a GaAs/Ga1-x Als As superlattice system within the effective mass approximation, it leads to unphysical results for higher concentrations. It shows that the phase transition, the bound electron entering into the conduction band whereby （H）min=0, is not possible beyond this concentration. The results suggest thai a phase transition is impossible in 213 systems, supporting the scaling theory of localization. The results are compared with the existing data available and discussed in the light of existing literature.
文摘We discuss the proper definition for the chiral crossover at finite temperature,based on Goldstone's theorem.Different from the commonly used maximum change in chiral condensate,we propose defining the crossover temperature using the Mott transition of pseudo-Goldstone bosons,which,by definition,guarantees Goldstone's theorem.We analytically and numerically demonstrate this property in the frame of a Pauli-Villars regularized NJL model.In an external magnetic field,we find that the Mott transition temperature shows an inverse magnetic catalysis effect.
文摘采用固相反应法制备了La0.67Ca0.33Mn1-xFexO3(0 x 0.2)系列样品.实验研究了Fe离子掺杂稀土锰氧化物La0.67Ca0.33MnO3的电输运性质、微观结构和导电机制.结果表明:样品高温下导电遵从Mott变程跳跃机制;相同温度下烧结的样品,体系电阻率急剧增加,绝缘—金属转变温度TIM向低温方向移动.相同Fe替代含量的样品,在1200℃、1250℃、1300℃3个不同烧结温度下,晶格常数c变化不大,晶格常数a、b和晶胞体积随着烧结温度的升高而减小,晶体颗粒和体系电阻率随着烧结温度的升高而增大,绝缘—金属转变温度TIM向高温方向移动.
