Local density of states maps of cuprate superconductors with field-induced charge order

Using the t-t'-U-V Hamiltonian, the local density of state (LDOS) maps have been numerically obtained near the optimal doping around the vortex core for several different bias energies. With proper chosen U, we show that magnetic field induces spin-density wave (SDW) and charge-density wave (CDW), which are absent at zero field, with periods 8a and 4a respectively. It is also found that the LDOS maps may not necessarily coincide with those of CDW or the d-wave superconductivity order parameter near the vortex core. This is because the LDOS measures the low lying excitations of the system while the CDW configuration is originated from its ground state. We point out that our energy dependent LDOS maps could be used to explain the STM experiments by J. Hoffman [Science 295, 466 (2002)] and S. H. Pan [Phys. Rev. Lett. 85, 1536 (2000)].