一直从事无序系统中相变和临界现象的研究。所有的物质系统都会有相变，比如超导体的超导相变，氦4的超流相变以及液晶中的各种相变。对于纯净系统，相变和临界现象的理论和实验已经符合得非常好了。描述临界现象的重正化群理论是理论物理学上的一个高峰，这个理论的主要创建者威尔逊得到了诺贝尔奖。朗道-金兹堡-威尔逊哈密顿量是描述相变的一个基本出发点，也是重正化群理论的一个出发点。它的鞍点解就是朗道的平均场理论。不过对于无序系统，实验已发现了许多用现有理论不能很好解释的现象。为了描述无序系统中的相变，可以在朗道-金兹堡-威尔逊哈密顿量中引入一个随机温度。我们用数值方法解了有随机温度的朗道-金兹堡-威尔逊哈密顿量的鞍点方程的基态和激发态解，发现无序系统的相变是这样的，由于临界温度在空间中有起伏，系统中会有些地方先局域有序化，随着温度的降低，局域有序 化的区域越来越多，这些区域会连接起来。局域有序化区域之间的相互作用的强度将决定相变的类型。如果相互作用很强，相变应该是渗流型的，而且是非均匀的。如果相互作用弱，则相变是均匀的。这些结果与实验定性上是一致的。近年来利用键传播算法，解决了二维伊辛模型的开放边界问题，验证了共形场的预言。

Saddle point solution of the Landau-Ginzburg-Wilson Hamiltonian for the McCoy-Wu Ising model, Xintian Wu, Phys. Rev. B 97, 224422 (2018).

Multi-scaling in the critical phenomena in the quenched disordered systems, Xintian Wu, Physica A 495 (2018) 94-103.

Critical behavior of the two-dimensional Ising model with a slit, Xintian Wu, Phys. Rev. E 95, 052101 (2017).

The numerical study of first order wetting transition with two defect lines, X. T. Wu, Physica A 457(2016) 34-41.

Apparent First-Order Wetting and Anomalous Scaling in the Two-Dimensional Ising Model, X.-T. Wu, D.B. Abraham and J.O. Indekeu, PRL 116, 046101 (2016).

Critical phenomena of a single defect, Xintian Wu and Yangyang Zhang, Phys. Rev. E 92, 032108 (2015).

Critical two-dimensional Ising model with free, fixed ferromagnetic, fixed antiferromagnetic, and double antiferromagnetic boundaries, Xintian Wu and Nickolay Izmailyan, Phys. Rev. E 91, 012102 (2015).

Efficient Algorithms for the Two-Dimensional Ising Model with a Surface Field, Xintian Wu, J Stat Phys (2014) 157:1284-1300.

Accurate Expansions of Internal Energy and Specific Heat of Critical TwoDimensional Ising Model with Free Boundaries, Xintian Wu, Ru Zheng, Nickolay Izmailian & Wenan Guo, J Stat Phys (2014) 155:106-150.

发表的论文：

Shape-dependent finite-size effect of the critical two-dimensional Ising model on a triangular lattice, Xintian Wu, Nickolay Izmailian and Wenan Guo, Phys. Rev. E 87 (2013) 022124.

Block model for the XY-type Landau–Ginzburg–Wilson Hamiltonian with random temperature, Xintian Wu, Physica A 391 (2012) 6247.

Finite-size behavior of the critical Ising model on a rectangle with free boundaries, Xintian Wu, Nickolay Izmailian and Wenan Guo, Phys. Rev. E 86 (2012) 041149.

Pseudogap phase in strongly disordered conventional superconductors, X. T. Wu and R. Ikeda, Phys. Rev. B 83 (2011) 104517.

Homogeneous and inhomogeneous phase transitions in the Blume-Capel model with random bonds, X. T. Wu, Phys. Rev. E 82 (2010) 010101R.

Efficient algorithm for computing correlation functions of the two-dimensional random-bond Ising model, X. T. Wu and J. Y. Zhao, Physical Review B 80, (2009 )104402.

Excited states of the saddle point equation of the Landau-Ginzburg-Wilson Hamiltonian with random temperature, X. T. Wu , Physical Review B 79 (2009) 184208.

Locally ordered regions and the first order phase transition in the disordered systems, X. Wu, Z. Jiang, Physica B 403 (2008) 3969.

Locally ordered regions in the phase transition in the systems with a finite-range correlated quenched disorder, X. T. Wu, Physica A (Amsterdam), 383 (2007) 209.

The two-dimensional saddle point equation of Ginzburg-Landau Hamiltonian for diluted Ising model, X. T. Wu, Chinese Physics Letters A, 23 (2006) 306.

Enhancement of commensurate magnetic resonance energy by the additional second neighbor hopping t in cuprate superconductors, Shiping Feng, Tianxing Ma, Xintian Wu, Physics Letters A 352 (2006) 438.

Numerical solution of the two-dimmensional Saddle point equation of Ginzburg-Landau Hamiltonian with random temperature, X. T. Wu, Phys. Rev. B, 71 (2005) 174204.

Numerical solution of the One-dimmensional Saddle point equation of Ginzburg-Landau Hamiltonian with random temperature, X. T. Wu and K. Yamada, J. Phys. A: Math. Gen., 37 (2004) 3363.

最大占据数为任意整数的统计, 刘为, 吴新天, 大学物理, 22 (2003) 45.

Replicon modes in renormalization group with replica symmetry breaking, Xintian Wu, Commun. Theor. Phys. 31 (1999) 219.

Continuous replica symmetry breaking in critical phenomena in disordered systems, X. T. Wu and C. D. Gong, Commu. Theor. Phys., 31 (1999) 367.

Replica Symmetry Breaking in Critical Phenomena in Long-range Disordered Ferromagnets, Xin-tian Wu, Zhi-wen Pan and Chang-de Gong, Commu. Theor. Phys. 31 (1999) 576.

Replica symmetry breaking in the critical phenomena in the m-component..., X. T. Wu, Physica A (Amsterdam) 251, (1998) 309.

Instability of the random fixed point of renormalization group for the spin systems with quenched disorder, X. T. Wu and C. D. Gong, Chinese Physics Letters, 14 (1997) 165.

Periodic wavefunctions and number of extended states in random dimer systems, X. Q. Huang, X. T. Wu and C. D. Gong, Phys. Rev. B, 55 (1997) 11018.

Critical phenomena in pseudo-long-range disordered systems, X. T. Wu and Z. Q. Huang,, Commu. Theor. Phys., 25 (1996) 289.

Migdal-Kadanoff renormalization group with long-range disorder, X. T. Wu and Z. Q. Huang ,J. Phys. A: Math. & Gen., 27 (1994) 5121.

A phenomenological model on the superfluid transition of He4 in porous media, X. T. Wu and Z. Q. Huang, Commun. Theor. Phys, 21 (1994) 129.