High-resolution neutron inelastic scattering experiments in applied magnetic fields have been performed on La 1:895 Sr 0:105 CuO 4 (LSCO). In zero field, the temperature dependence of the low-energy peak intensity at the incommensurate momentum transfer Q IC 0:5; 0:5 ; 0; 0:5 ; 0:5; 0 exhibits an anomaly at the superconducting T c which broadens and shifts to lower temperature upon the application of a magnetic field along the c axis. A field-induced enhancement of the spectral weight is observed, but only at finite energy transfers and in an intermediate temperature range. These observations establish the opening of a strongly downward renormalized spin gap in the underdoped regime of LSCO. This behavior contrasts with the observed doping dependence of most electronic energy features. DOI: 10.1103/PhysRevLett.98.077004 PACS numbers: 74.72.ÿh, 61.12.Ex, 74.20.Mn, 74.25.Ha In studies of high-temperature superconductors (HTSC), one central challenge is to explain the evolution from an antiferromagnetic (AF) Mott insulator to a metallic superconductor upon doping. For example, the intimate interplay between magnetism and superconductivity has been revealed in momentum resolved inelastic neutron scattering (INS) experiments on La 2ÿx Sr x CuO 4 (LSCO) [1][2][3][4][5] and YBa 2 Cu 3 O 6x (YBCO) [6,7] that showed the opening of a spin gap (SG) SG at the superconducting (SC) critical temperature (T c ). In contrast to the single-particle SC gap probed by, e.g., angle-resolved photoemission spectroscopy (ARPES) [8,9], the SG scales with T c in the overdoped to slightly underdoped regime. The situation is more complicated in more underdoped samples. For instance, in YBCO the ratio SG =k B T c decreases with strong underdoping [10,11], while for underdoped LSCO (x < 0:12) the changes are even more dramatic, since no direct neutron scattering evidence for a SG has been reported so far [12]. This latter fact would seem to indicate that the underdoped regime of LSCO cannot be described in terms of a homogeneous electronic liquid and more exotic scenarios have been suggested, such as the formation of dynamical stripes [13] or presence of a d-density wave (DDW) order [14]. Further insight into the interplay between magnetism and superconductivity in LSCO has been revealed in a number of studies of the effects of an applied magnetic field, which at optimal doping enhances the low-energy magnetic fluctuations and at underdoping induces static antiferromagnetism [15][16][17].In this Letter, based on high-resolution INS data as a function of energy @!, magnetic field H, and temperature T, we identify similarities and differences between the magnetic response in the underdoped and optimal doped regimes of LSCO. Our main result is the observation of a dramatic field-induced enhancement of the response at low energies and the identification, below T c , of a SG in the underdoped regime (x 0:105), whose characteristic energy is strongly renormalized relative to that measured at optimal doping. We also show that this behavior is no...