The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamicM disorder case, the transport behavior of particles is diffusive, and for the static disorder ease...The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamicM disorder case, the transport behavior of particles is diffusive, and for the static disorder ease the transport behavior is localized. In this work, we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks. We lind that once the coins satisfy certain conditions, the sub-ballistic spreading could be found in binary dynamical disorder quantum walks, and the sub-ballistic, diffusive and sub- diffusive spreadings could be found in binary static disorder quantum walks. We obtain the necessary conditions for those abnormal diffusive behaviors.展开更多
Heat transport is a key energetic process in materials and devices. The reduced sample size, low dimension of the problem and the rich spectrum of material imperfections introduce fruitful phenomena at nanoscale. In t...Heat transport is a key energetic process in materials and devices. The reduced sample size, low dimension of the problem and the rich spectrum of material imperfections introduce fruitful phenomena at nanoscale. In this review, we summarize recent progresses in the understanding of heat transport process in low-dimensional materials, with focus on the roles of defects, disorder, interfaces, and the quantum- mechanical effect. New physics uncovered from computational simulations, experimental studies, and predictable models will be reviewed, followed by a perspective on open challenges.展开更多
Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with th...Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments,while much less works have studied the spin-1 systems.We here review the physics with interacting spin-1 local moments on the pyrochlore lattice to ilustrate the potentially interesting physics associated with spin-1 magnets.The generic pyrochlore spin-1 model includes the antiferromagnetic Heisenberg interaction,the Dzyaloshinski-Moriya interaction and the single ion spin anisotropy.The global phase diagram of this generic spin model is reviewed,and the relation between different quantum phases in the phase diagram is clari-fied.The critical properties of the transition from the parent quantum paramagnet to the proximate orders are discussed.The presence of quantum order by disorder in the parts of the ordered phases is analyzed.The elementary excitations with respect to the ground states are further reviewed,and the topological natures of these excitations are carefully addressed.The materials'relevance of the spin-1 pyrochlore magnets are finally reviewed.This review may provide insights about the interesting spin-1 local moments on frustrated systems.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No 11175087the National Basic Research Program of China under Grant No 2009CB929501the Project on Graduate Students’Education and Innovation of Jiangsu Province under Grant No CXZZ13_0392
文摘The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamicM disorder case, the transport behavior of particles is diffusive, and for the static disorder ease the transport behavior is localized. In this work, we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks. We lind that once the coins satisfy certain conditions, the sub-ballistic spreading could be found in binary dynamical disorder quantum walks, and the sub-ballistic, diffusive and sub- diffusive spreadings could be found in binary static disorder quantum walks. We obtain the necessary conditions for those abnormal diffusive behaviors.
基金supported by the National Natural Science Foundation of China(11222217)the State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics(MCMS-0414G01)
文摘Heat transport is a key energetic process in materials and devices. The reduced sample size, low dimension of the problem and the rich spectrum of material imperfections introduce fruitful phenomena at nanoscale. In this review, we summarize recent progresses in the understanding of heat transport process in low-dimensional materials, with focus on the roles of defects, disorder, interfaces, and the quantum- mechanical effect. New physics uncovered from computational simulations, experimental studies, and predictable models will be reviewed, followed by a perspective on open challenges.
基金This work was supported by the Ministry of Science and Technology of China with grant Nos.2016YFA0301001,2016YFA0300501,and 2018YFE0103200the General Research Fund(GRF)under grant No.17303819 from the Research Grant Council of Hong Kong.
文摘Pyrochlore magnets can be a unique platformn to demonstrate numerous important concepts and appli-cations of frustrated magnetic physics in modern condensed matter physics.Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments,while much less works have studied the spin-1 systems.We here review the physics with interacting spin-1 local moments on the pyrochlore lattice to ilustrate the potentially interesting physics associated with spin-1 magnets.The generic pyrochlore spin-1 model includes the antiferromagnetic Heisenberg interaction,the Dzyaloshinski-Moriya interaction and the single ion spin anisotropy.The global phase diagram of this generic spin model is reviewed,and the relation between different quantum phases in the phase diagram is clari-fied.The critical properties of the transition from the parent quantum paramagnet to the proximate orders are discussed.The presence of quantum order by disorder in the parts of the ordered phases is analyzed.The elementary excitations with respect to the ground states are further reviewed,and the topological natures of these excitations are carefully addressed.The materials'relevance of the spin-1 pyrochlore magnets are finally reviewed.This review may provide insights about the interesting spin-1 local moments on frustrated systems.
