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Finite temperature physics of ID to pological Kondo insulator: Stable Haldane phase, emergent energy scale and beyond

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Frontiers of physics 2019年第2期14卷 73-81,F0004页

作者： Yin Zhong Qin Wang Yu Liu Hai-Feng Song Ke Liu Hong-Gang Luo Center for Interdisciplinary Studies & Key laboratory for Magnetism and Magnetic Materials of the MoE Lanzhou UniversityLanzhou 730000China Institute of Applied Physics and Computational Mathematics Beijing 100088China Software Center for High Performance Numerical Simulation China Academy of Engineering PhysicsBeijing 100088China Arnold Sommerfeld Center for Theoretical Physics University of MunichTheresienstrasse 3780333 MunichGermany Beijing Computational Science research Center Beijing 100084China

In recent years, mteracting topological insulators have emerged as new frontiers in condensed matter physics, and the hotly studied topological Kondo insulator (TKI) is one of such prototypes. Although its zero-temperature ground-state has been widely investigated, the finite temperature physics on TKI is largely unknown. Here, we explore the finite temperature properties in a simplified model for TKI. namely the one-dimensional p-wave periodic Anderson model, with numerically exact determinant quantum Monte Carlo simulation. It is found that the topological Haldane phase established for groimdstate is still stable against small thermal fluctuation and its characteristic edge magnetization develops at low temperature. Such facts emphasize the robustness of (symmetry-protected) topological order against temperature effect, which always exists at real physical world. Moreover, we use the saturated low-T spin structure factor and the 1/T-law of susceptibility to detect the free edge spin moment, interestingly the low-temperature upturn behaxior of the latter one is similar to experimental finding in SniBg at T < 50 K. It implies that similar physical mechanism may work both for idealized models and realistic correlated electron *** have also identified an emergent energy scale Tcr. which signals a crossover into interesting low-T regime and seems to be the expected Ruderman-Kittel- Kasuya Yosida coupling. Finally, the collective Kondo screening effect has been examined and it is heavily reduced at boundary which may give a fruitful playground for novel physics beyond the wellestablished Haldane phase and topological band insulators.

关键词： topological Kondo insulator heavy fermion quantum Monte Carlo Haldane phase

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Magnetic and topological transitions in three-dimensional topological Kondo insulator

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Chinese Physics Letters 2018年第12期35卷 59-63页

作者：黎欢王志勇郑晓军刘瑜钟寅 College of Science Guilin University of Technology Institute of Applied Physics and Computational Mathematics Software Center for High Performance Numerical Simulation China Academy of Engineering Physics Center for Interdisciplinary Studies & Key laboratory for Magnetism and Magnetic Materials of the MoE Lanzhou University

Using an extended slave-boson method,we draw a global phase diagram summarizing both magnetic phases and paramagnetic（PM） topological insulators（TIs） in a three-dimensional topological Kondo insulator（TKI）. By including electron hopping（EH） up to the third neighbors, we identify four strong TI（STI） phases and two weak TI（WTI） phases. Then, the PM phase diagrams characterizing topological transitions between these TIs are depicted as functions of EH,f-electron energy level,and hybridization constant. We also find an insulator-metal transition from an STI phase that has surface Fermi rings and spin textures in qualitative agreement with the TKI candidate SmBs. In the weak hybridization regime, antiferromagnetic（AF） order naturally arises in the phase diagrams. Depending on how the magnetic boundary crosses the PM topological transition lines,AF phases are classified into the AF topological insulator（AFTI） and the non-topological AF insulator, according to their Z2 indices. In two small regions of parameter space, two distinct topological transition processes between AF phases occur, leading to two types of AFTIs showing distinguishable surface dispersions around their Dirac points.

关键词： STI WTI TKI

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