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Supersolidity for hard-core-bosons coupled to optical phonons
Authors:Sanjoy Datta  Sudhakar Yarlagadda
Affiliation:1. Departamento de Física, Universidad Nacional de Colombia, A.A. 5997, Bogotá, Colombia;2. Departamento de Física, Universidade Federal de Sergipe, 49100-000 São Cristovão, SE, Brazil;3. Instituto de Física, Universidade Federal Fluminense, Av. Litorânea s/n, 24210-346 Niterói, Rio de Janeiro, Brazil;1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China;2. Beijing National Laboratory of Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China;3. Collaborative Innovation Center of Quantum Matter, Beijing, 100190, China;1. Electronic Materials Research Laboratory, Key Laboratory of the Ministry of Education & International Center for Dielectric Research, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China;2. Xi’an Jiaotong University Suzhou Academy, Suzhou 215123, Jiangsu, China;3. Micro-optoelectronic Systems Laboratories, Xi’an Technological University, Xi’an 710032, Shaanxi, China;4. School of Materials and Energy, Guangdong University of Technology, Guangzhou 510006, China;1. School of Materials Science and Engineering, Shaanxi University of Science and Technology, Xi’an, 710021, China;2. Faculty of Materials and Energy, Southwest University, Chongqing, 400715, China
Abstract:The coexistence of diagonal long-range order (DLRO) and off-diagonal long-range order (ODLRO), manifested in some systems, is still a theoretical enigma. Here, we present a novel microscopic mechanism for supersolidity or the homogeneous coexistence of charge-density-wave state (an example of DLRO) and superfluidity/superconductivity (a realization of ODLRO). We derive an effective d-dimensional Hamiltonian for a system of hard-core-bosons coupled to optical phonons in a lattice. At non-half-fillings, a superfluid/superconductor to a supersolid transition occurs at intermediate boson–phonon couplings, while at strong-couplings the system phase separates. We demonstrate explicitly that the presence of next-nearest-neighbor hopping and nearest-neighbor repulsion leads to supersolidity.
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